PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 11, Problem 316RE
In the following exercises, find the slope modeled on each geoboard.
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Chapter 11 Solutions
PREALGEBRA
Ch. 11.1 - use the map in Figure 11.2. a Find the grid...Ch. 11.1 - Use the map in Figure 11.2. a. Find the grid...Ch. 11.1 - Plot each point on the same rectangular coordinate...Ch. 11.1 - Plot each point on the same rectangular coordinate...Ch. 11.1 - Plot each point a rectangular coordinate system...Ch. 11.1 - Plot each point a rectangular coordinate system...Ch. 11.1 - Plot each point: (4,-3) (4,3) (4,3) (-4,3)Ch. 11.1 - Plot each point: a. (-1,4) b. (1,4) c. (1,-4) d....Ch. 11.1 - Plot each point on a coordinate grid: (a) (4,0)...Ch. 11.1 - Plot each point on a coordinate grid: (a) (—5. 0)...
Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Determine which ordered pairs are solutions to the...Ch. 11.1 - Determine which ordered pairs are solutions to the...Ch. 11.1 - Determine which ordered pairs are solutions of the...Ch. 11.1 - Determine which ordered pairs are solutions of the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Find a solution to the equation: 4x + 3y = 12.Ch. 11.1 - Find a solution to the equation: 2x + 4y = 8.Ch. 11.1 - Find three solutions to the equation: 2x + 3y = 6.Ch. 11.1 - Find three solutions to the equation: 4x + 2y = 8.Ch. 11.1 - Find three solutions to the equation: 4x + y = 8.Ch. 11.1 - Find three solutions to the equation: x + 5y = 10.Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - Weight of a baby Mackenzie recorded her baby’s...Ch. 11.1 - Weight of a child Latresha recorded her son’s...Ch. 11.1 - Have you ever used a map with a rectangular...Ch. 11.1 - The graph of y=3x— 1 is shown. For each ordered...Ch. 11.2 - The graph of y=3x— 1 is shown. For each ordered...Ch. 11.2 - Graph the equation by plotting points: y = —4x.Ch. 11.2 - Graph the equation by plotting points: y = x.Ch. 11.2 - Graph the equation: y=13x1Ch. 11.2 - Graph the equation: y=14x+2Ch. 11.2 - Graph the equation: x + y = —2.Ch. 11.2 - Graph the equation: x—y=6.Ch. 11.2 - Graph each equation: 2x + y = 2.Ch. 11.2 - Graph each equation: 4x + y = —3.Ch. 11.2 - Graph the equation: x =5Ch. 11.2 - Graph the equation: x = —2.Ch. 11.2 - Graph the equation: ‘ y= -4.Ch. 11.2 - Graph the equation: y = 3.Ch. 11.2 - Graph the equations in the same rectangular...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - Motor home cost The Robinsons rented a motor home...Ch. 11.2 - Weekly earning At the art gallery where he works,...Ch. 11.2 - Explain how you would choose three x-values to...Ch. 11.2 - What is the difference between the equations of a...Ch. 11.3 - Find the x- and y-intercepts of the graph: x — y =...Ch. 11.3 - Find the x- and y-intercepts of the graph: 2x + 3y...Ch. 11.3 - Find the intercepts: 3x + y = 12Ch. 11.3 - Find the intercepts: x+4y= 8Ch. 11.3 - Find the intercepts of the line: 3x—4y = 12.Ch. 11.3 - Find the intercepts of the line: 2x—4y = 8.Ch. 11.3 - Graph the line using the intercepts: x—2y = 4.Ch. 11.3 - Graph the line using the intercepts: —x + 3y = 6.Ch. 11.3 - Graph the line using the intercepts: 5x—2y = 10.Ch. 11.3 - Graph the line using the intercepts: 3x—4y = 12.Ch. 11.3 - Graph using the intercepts: y = 3x.Ch. 11.3 - Graph using the intercepts: y = - x.Ch. 11.3 - Identify the most convenient method to graph each...Ch. 11.3 - Identify the most convenient method to graph each...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts. ....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts.Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts.Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - Road trip Damien is driving from Chicago to...Ch. 11.3 - Road trip Ozzie filled up the gas tank of his...Ch. 11.3 - How do you find the x-intercept of the graph of...Ch. 11.3 - How do you find the v-intercept of the graph of...Ch. 11.3 - Do you prefer to graph the equation 4x + y = -4 by...Ch. 11.3 - Do you prefer to graph the equation y=23x2 by...Ch. 11.4 - What is the slope of the line on the geoboard...Ch. 11.4 - What is the slope of the line on the geoboard...Ch. 11.4 - What is the slope of the line on the geoboard?Ch. 11.4 - What is the slope of the line on the geoboard?Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line.Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line: x = —4.Ch. 11.4 - Find the slpoe of the line: y=7Ch. 11.4 - Find the slope of the line through the given...Ch. 11.4 - Find the slope of the line through the given...Ch. 11.4 - Find the slope of the line through the pair of...Ch. 11.4 - Find the slope of the line through the pair of...Ch. 11.4 - Graph the line passing through the point with the...Ch. 11.4 - Graph the line passing through the point with the...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Find the slope given rise and run: A roof with a...Ch. 11.4 - Find the slope given rise and run: A roof with a...Ch. 11.4 - Find the slope of the pipe: The pipe slopes down -...Ch. 11.4 - Find the slope of the pipe: The pipe slopes down...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, sole these slope...Ch. 11.4 - In the following exercises, solve these slope...Ch. 11.4 - In the following exercises, sole these slope...Ch. 11.4 - In the following exercises, solve these slope...Ch. 11.4 - Wheelchair ramp The rules for wheelchair ramps...Ch. 11.4 - Wheelchair ramp A I-inch rise for a 16-inch run...Ch. 11.4 - What does the sign of the slope tell you about...Ch. 11.4 - How does the graph of a line with slope m=12...Ch. 11.4 - Why is the slope of a vertical line undefined?Ch. 11.4 - Explain how you can graph a line given a point and...Ch. 11 - In the following exercises, plot each point in a...Ch. 11 - In the following exercises, plot each point in a...Ch. 11 - In the following exercises plot each point in a...Ch. 11 - In the following exercises plot each point in a...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, find the ordered pairs...Ch. 11 - In the following exercises, find the ordered pairs...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, for each ordered pair,...Ch. 11 - In the following exercises, for each ordered pair,...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph the vertical or...Ch. 11 - In the following exercises, graph the vertical or...Ch. 11 - In the following exercises, find the x- and...Ch. 11 - In the following exercises, find the x- and...Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, graph using the...Ch. 11 - In the following exercises, graph using the...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, graph the line given a...Ch. 11 - In the following exercises, graph the line given a...Ch. 11 - In the following exercise, solve the slope...Ch. 11 - Plot and label these points: (a) (2, 5) (b) (—1....Ch. 11 - Name the ordered pair for each point shown.Ch. 11 - Find the x-intercept and y-intercept on the line...Ch. 11 - Find the x-intercept and y-intercept of the...Ch. 11 - Is (1, 3) a solution to the equation x+ 4y= 12?...Ch. 11 - Complete the table to find four solutions to the...Ch. 11 - Complete the table to find three solutions to the...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...
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- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
- (20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
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