True or false: The graph of 2x - 3y > 6 includes the line 2x – 3y = 6. .

Q: What are the lenghts of the segments into which the y-axis divides the segment (-6,-6) and (3,6)?.…

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Q: Estimate the x- and y- intercepts from the graph

A: According to given graph we can see that graph is intersecting x-axis at 0,0 and touching y-axis at…

Q: What is an equation of the line that passes through the points (1,2) and (2,−1)? Put your answer in…

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Q: Describe one similarity and one difference between the graphs of x2/9 - y2/1 = 1 and (x - 3)2/9 - (y…

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Q: Which points on the graph of y = 4 - x2 are closest to the point (0,2)? Ans. and

A: We will use Lagranges multiplier to find nearest points on graph

Q: Which of the viewing windows would show both the x- and y-intercept of the graph of -540x+36y=3240?…

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Q: ID. y= X +5 X X- axis

A: (10) The equation of the curves are : C1: y = x2+5x C2: x-axis To evaluate : The area bounded by the…

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Estimate the x- and y-intercepts from the graph. 2- -9 -8 -7 -6 -5 -4 -3 -2 -1, 2 3 4 5 6 78 9 -2 -3…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: Is the point (4,23) on the line y = 5x + 3? Is (4,23) on the graph of y = 5x + 3? O No OYes

A: The equation of the line,

Q: Find the distance between the lines 3x+y-12=0 and 3x+y-4=0

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Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: Write the equation for the graph. 5. 4- 2 -8 -7 -6 -5 -4 4. 1- (-1, =1) -2 (0, –2) -3 |(1, –4) -4 -5…

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Q: Graph the line with slope 2 passing through the point (1, 4). 10- 8- 6- 4- -2- 6. 10 -2- -10-…

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Q: Find an oquation of the line containing the point (-2, 6) and a. parallel to 2x +y-5 perpendicular…

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Q: Su -* - 2 5t 4- -54-3 -2 123 4 5 -4 2.

A: Given: y<x4+1y>-x-2 Graph of given inequalities can be draw by using graphing utility   Since…

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Suppose that a line passes through the points (-6, 6) and (3, – 1). Where will it pass through the…

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Q: How do we know that the graph of y = -3x is a straight line that contains the origin?

A: y = -3x

Q: - Find the equation for the Line that Paffps through Point ( 2, 1) and Pamllel to the Line 2x+y=-1

A: Use the concept that parallel lines have same slope.

Q: Which points on the graph of y= 4-x^2 are closest to the point (0,2)?

A: Given function- y=4-x2 Any point on the curve of this function will be given by- x,4-x2 The given…

Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

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Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Estimate the x- and y- intercepts from the graph

A: Given graph is: The x-intercept is the point where graph crosses the x-axis. From the graph we can…

Q: Sketch a graph of y = 2 z| %3D 4- -5 43-2 -1 123 4$ -2 -5+ Clear All Draw: 2.

A: To  sketch :  A graph of y=2x.

Q: 2+3X A ) Sketch the graph 4+2X

A: We Know that steps to draw the graph. Step 1: Identify the variables. ... Step 2: Determine the…

Q: Find the y intercept of the line 4x – 5y - 20 - -

A: We need to find the y-intercept of the line 4x-5y=-20. So,              4x-5y=-20⇒y=--20-4x5…

Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

Q: 1. x* 2х at a — 2 |

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Q: Graph the horizontal or vertical line. Av 12- y = - 5 10- ..... Use the graphing tool to graph the…

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Q: Datermine whether the graphs of y = 7x + 2 and 7x – y = 0 are parallel, perpendicular, or neither. v…

A: The slope-intercept form of a line is given by y=mx+c, where m is the slope of the line and c is the…

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: 15. What point is the intersection of the graphs of the lines 2x - y = 3 and x +y 3? %3!

A: To find point of intersection, solve equation of both lines 2x - y = 3       .....(1) x + y = 3…

Q: Suppose that a line passes through the points (5,-6) and (-6,4). Where will it pass through the x…

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Q: What point on the graph of y = x² is closest to the point (3,0)?

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Q: Plot a graph with points (1,2)  (3,10) where y=4x-2

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Q: True or false: The graph of 2x - 3y > 6 includes the line 2x - 3y = 6.________

A: Greater than sign or greater than equal to sign are both different as with greater than sign we mean…

Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: How will the graph of line v=-3x + 8 be affected if the 8 is changed to -3?

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Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

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Q: What is the slope interecept form of the line that passes through the point (4,7) and is parallel to…

A: Given : To determine the equation of a line in slope-intercept form that passes through the point…

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: How do we know that the graphs of 2x - 3y = 6 and -2x + 3y = -6 are the same line?

A: Given equation is: 2x-3y=6 On simplifying further we get:…