Show that the midpoint of the line Transforms to the midpoint of the transformed line by taking an example

Q: Define the slope of a nonvertical line and give a physical description.

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Q: Find an eqaution of the line tangent to the graph f(x) = 3x2 - 5x at the point (1,-2).

A: fx=3x2-5x Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Sketch a graph of the lines y = -3 and x = -3. Are the lines prependicular?

A: Sketch a graph of the lines y = -3 and x = -3. Are the lines perpendicular? As x = -3 and y = -3 are…

Q: What are the Secant Lines?

A: If we join any two points on a given curve then the joining line is called the Secant Line. Secant…

Q: A line with a positive slope is parallel to one of th below.

A: From the graph of positive slope line, at x=0 , y= 3 at x = 4 , y = 4

Q: Suppose that A = (a, b) is a point on the graph of ex. What is the slope of the graph of ex at the…

A: We know, slope of the graph of a function at any point is the value of derivative of the function at…

Q: consider a line segment connecting a point O (0,0) and point P (-3,5) as a terminal side which forms…

A: Refer  to the question, the points can be plotted as,

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

Q: Determine the family of curves such that at each point the slope is given by 2xy^2

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Q: help sos

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Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: Use the line tool to match the graphs with their discriminants.

A: Question 1,Given,         Gaphs of discriminant.

Q: Find the distance between the points (3, 1) and (−3, 0).

A: Given Two points; (3,1),(-3,0)

Q: Find the distance between the points. (−1, 1, 1), (−3, 5, −3)

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Q: Find the distance between the point (-4, -3) and (0, 0)

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Q: Let L, be the line through the origin and the point (5, 0, –1). Let L, be the line through the…

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Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: What is A line that just touches a curve at a single point.   What is A linear approximate of a…

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Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: Construct a line parallel to a given line through a given external point. *

A: To draw a line parallel to the given line from the external point v.

Q: Find the midpoint of the line segment that joins (-2, 1) and (4, 5).

A: A line segment from two points are given , we have to find its midpoint.

Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

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Q: Find the distance between the points.(1, 3), (3, −2)

A: The distance between two points (a,b) and (c,d) is given by:- D=(c-a)2+(d-b)2

Q: Please solve and show your work

A: The given points are

Q: In the qiven question , estimate the slope of the graph at the points (x1, y1 ) and ( x2, y2 ). see…

A: According to the given information, it is required to determine the slope of the graph at the given…

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

A: topic - distance of line from origin

Q: The slope of the line tangent to the circle x' + y = 100 at the point (- 6,8)is

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Q: Explain : What is a secant line?

A: What is a secant line?

Q: Describe the condition for a curve to be rectifiable between two points.

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Q: Estimate the slape of the line rom Its graph.

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Q: - Find the midpoint of the line segment connecting the points (-3, 7) and

A: Given :                  -3,7 and 12,2 Formula :                    Midpoint = x1+x22 , y1+y22

Q: 1. x* 2х at a — 2 |

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Q: What is the image of (-6,0) after a reflection over the line y = -x? %3D

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Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

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Q: Prove that a line cannot contain three distinct points.

A: We prove that a line cannot contain three distinct points by method of contradiction.

Q: what is the slope of the tanget line to the graph of x-= Incxy) at the point ClD (1.1)

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Q: In hyperbolic geometry, show that two parallel lines converge continuously in the direction of…

A: Angle of parallelism: Angle at the non-right angle vertex of a right hyperbolic triangle having two…

Q: Find the distance between the points (5,3) and (3,0)

A: Given,          The distance between between the points 5,3 and 3,0.We know that,          The…

Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

Q: Describe the image of the line v = 4u under G in slope-intercept form

A: Describe the image of the line v = 4u under G in slope-intercept form

Q: Verify that (3, 1) is the midpoint of the line segment joining (-2, 6) and (8, -4).

A: Consider a line segment AB such that A=x1, y1 & B=x2, y2 Let P be the midpoint of the line…

Q: What is meant by coincident lines? Give an example along with

A: Consider two lines “l” and “m” respectively as

Q: Find the distance between the points (-1,2) and (1,-1)

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Q: It is a subset of a line that has only one endpoint and is extended endlessly in one direction.a.…

A: We know that Line has two endless direction means we can extend the line infinitely from both sides…

Q: Find the differentual equatrion characterizing the family of curves described

A: Given that: ky=x2

Q: Find the distance between the points (3, 0) and (-1, -2).

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Q: Find a formula for the linear function whose graph is a plane passing through the point (4, 3, -2)…

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Q: Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: Find your answer below