Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining the given points into four equal parts. (a) (3, -2), (5, -1) (х, у) %3D (smallest x-value) 7 (x, y) = (2 1 (x, y) = (| 4, – (largest x-value) -

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

A:

Q: What is the distance between the line with Cartesian equation x-6 = y-1 =z and the line with…

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Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

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A:

Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

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Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13=0 in which the tangent line…

A:

Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Use the Midpoint Formula three times to find the three points that divide the line segment joining…

A:

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: What is the maximum vertical distance between the line y =x +2and the parabola y =x2 for     -1 ≤ x…

A:

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3…

A: Topic:- calculus

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12.…

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

A:

Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is perpendicular to the…

A: Given: The curve is y = 2x3 - 3x2 - 12x + 20 and the tangent line is perpendicular to the line y =…

Q: Used to determine the distance between two points (*11) and (*, V2) d= V(*-*)2 +(2 -1)2 and (X2 d%3D…

A: Given that distance between points                                                 (x1, y1)  &amp;…

Q: Find the point (s) on x = 3 - y2 that are closest to point A = (1,0).

A: Given: x = 3 - y2 and point A = (1, 0)

Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: What is the distance between the line with Cartesian equation x-6 = y-7 = z and the line with…

A: Parallel lines have the same direction ratios.

Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

A:

Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: Find the point on the line y = 2x + 3 that is closest to the origin. (x, y) =

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Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

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A: Solve for distance

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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A: Given:- The line with cartesian equation x-1=y-6=z and the line with the cartesian equation…

Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A:

Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13= 0 in which the tangent…

A:

Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

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A: Find the slope of the line y= 1- (x/24)

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A:

Q: Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance…

A:

Q: What are the coordinates of the points in the graph of y? - - x2 + 6x – 13 = 0 in which the tangent…

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

A: As we know that; The slope of the horizontal tangent line is zero or m=dydxPx0,y0=0 Given;…

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Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.