Determine the new order pairs if the points are reflected across the y- axis. J(2, 2), K(7, 4), L(9, -2), M(3, -1) O J (2.2), K (4,7),L (2,9), M'(1,3) O '(2,2), K (-4,7), E (2,-9), M (1,-3) O s(22). K(7,4), L(-9, -2), M(-3, -1)

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

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Q: Which 2 points are on the line (x.y) = (-1,4) + k(7,1). kER Select one: O -1,4), (7, 1) O (-8, 3),…

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Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ 4+ (-6, 1) (-4, 1)…

A: Given, The coordinates of point -4, 1  We have to find the coordinates of point -4, 1 after a…

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5),…

A: Consider the receiving stations:

Q: Write the coordinates of the vertices after a reflection over the line y = -5. 104 4 2. -10 -8 -9-…

A: Given query is to find the the cordinatea of vertices after reflection over y= -5.

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: What are the new coordinates of point M (-8, 3) after a reflection in the line y =x? O (3,-8) O(8,…

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Q: Find a relationship between x,y and z with reasons

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Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…

A: we have to find the coordinates of the point on the directed line segment into  a ratio 6 to 1

Q: Find a set of symmetric equations of the line through the points (5, 6, 3) and (8, 11, 8). O x-5_…

A: to find set of symmetric equations of the line through the points 5,6,3 and 8,11,8

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are parrallel.

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Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: If x= (5,-1,2), y=(1,-1,1) then x dot y is

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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: Here are two sets of ordered pairs: set 1: ((1, 5). (2, 5)) set 2: ((5, 1), (5, 2)}. In which set is…

A: set 1: 1,5,2,5set 2: 5,1,5,2

Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

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Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (7,6) ,…

A: Given:

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

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Q: 15. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

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Q: Let L7 be the line passing through the points Q1=(-5, -5,-3) and Q2=(-1,-3, 3) and let L2 be the…

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Q: The equation of the line segment from A(3, – 4,4) to B(5,2,5), 0<t<1 is a. r= (3+ 2t)i +(- 4+6t)j+(4…

A: Topic = vector  correct option 'a'

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

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Q: 2. Triangle VWX with vertices -1, 0), W6, 8), and X(4,-3): (x, y) (x-1, y-5)

A: Given coordinates V(-1,0)W(6,8)X(4,-3)Given transformation :(x,y)→(x-1,y-5)

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: Find equation of the line passing through the point (4, 2, 6) and parallel to the line of the…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

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Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: Find the linear equation of the plane through the point (0, 1, 1), (1, 0, 1), and (1, 1, O)

A: Consider the point (0,1,1). Take option (a) x-y-z+2=0-1-1+2=0 Take option (b) -x+y-z+2=-0+1-1+2=2≠0…

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and…

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Q: Write the coordinates of the vertices after a reflection over the line y x. 10 8 6 41 21 -10 -8 -6…

A: topic - reflection  x and y coordinates of a point are interchanged after getting reflected through…

Q: What is the image of (-2,-2) under the reflection in the line x+y-1=0. (3,3) O (-1,-1) O (1,1) O…

A: What is the image of (-2,-2) under the reflection in the line x+y+1=0

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: Suppose W(8, -2) was transformed across the line y = -x. What is the y coordinate for the image of…

A: I have stated the used formula in the solution

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 77.B 16/77 .c O 56 3…

A: The line segment is from 4,1,5 to 0,6,-1 . Hence, this line is parallel to the vector, 4,1,5-0,6,-1…

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: (a) Find the set of ordered pairs (x, y) determined by the equation lyl x, where x E (0, 2, 5, 6}. O…

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Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

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Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (1,2),…

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Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory