3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5, –3) 2) (5, 3) )(-5,-3) 4) (3,-5)

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

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Q: The image of (-2 , 5) under reflection y = -x followed by translation with translation vector (-3 ,…

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Q: ɔ determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) ie in tne same plane.

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Q: As part of video game, the point (2,3) is rotated counterclockwise about the origin through an angle…

A: Given as part of video game (2,3)  is rotated counterclockwise about origin through an angle of 40…

Q: Suppose point A(9,10) was rotated 270 degrees counterclockwise around the origin.  What is the y…

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Q: the origin is shifted to the point (–2, 3) and the new co-ordinate axes are parallel to the original…

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Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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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: The line through the point (0, 1, 1) that is orthogonal to both ⟨0, -1, 3⟩ and ⟨2, -1, 2⟩.

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Q: What is the image of the point (−5,−4) after a rotation of 180^{\circ}180∘ counterclockwise about…

A: Given The point is (-5 ,-4)  The rotate given point at 180 degree .

Q: As part of video game, the point (2,6) is rotated counterclockwise about the origin through an angle…

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Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

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

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Q: are the new coordinates of A(-5,4) B(-1,3) and C(-4,1) when rotated 75 degrees counterclockwis

A: To find the new coordinates of A(-5,4), B(-1,3) and C(-4,1) when rotated 75° counter clockwise.

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: 13. If AXYZ is rotated 180° clockwise about the point (2, -3), what is the coordinate of X? 4y Rule:…

A: Given:  Triangle XYZ is rotated 180 degree abot (2,-3). First change origin to O'(2,-3). Then change…

Q: 11. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point. O a)…

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Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…

A: We find new point after 180 degree rotation counterclockwise.

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

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Q: As part of video game, the point (1,6) is rotated counterclockwise about the origin through an angle…

A: If a point (x,y) and angle is given and we have to find the new coordinates (X,Y)  after rotating it…

Q: What is the image of the point (3,-6) after a rotation of 90° counterclockwise about the origin?

A: Consider the given point 3,-6

Q: 3,10 on coordinate plane

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Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: .A line I through the point (5,3,-6) has direction co quations of the line.

A: Introduction: We know that the vector equation of any line has the form r=r0+tv, where v is the…

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (7,-5) that…

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Q: What is the image of the point (-6,4) after a rotation of 180° counterclockwise about the origin?

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Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

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Q: 10) If a point M., located at (3, -2), is rotated clockwise 90 about the origin, what are the…

A: When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image…

Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).

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Q: What are the coordinates of the point on the directed line segment rom (-5, 8) to (-1, –8) that…

A: The coordinates of the point which partitions a directed line segment at the ratio of a:b from x1,y1…

Q: What is the image of the point (3, -4) after a rotation of 180 counterclockwise about the orgin

A: When rotated by 180 degree counterclockwise (x,y)->(-x,-y)

Q: 1. When the origin is shifted to (2,3) by translation of axes, the coordinates of P are changed to…

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Q: How can you day that the points (1,-5),(3,-2),(7,4) are collinear?

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Q: What is the image of the point (4, 0) after a rotation of 90 counterclockwise about the origin

A: Under rotation 90° counter clockwise about the origina point (x,y)→(-y,x)Hence (4,0)→(0,4)

Q: What is the image of the point (−5,−4)(−5,−4)after a rotation of 180∘180∘ counterclockwise about the…

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Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

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Q: What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the…

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Q: What is the image of the point (6,-3) after a rotation of 180° counterclockwise about the origin?

A: Our Aim is to tell the image of the point (-6,-3) after a rotation of 180°counterclockwise about the…

Q: As part of video game, the point (2,1) is rotated counterclockwise about the origin through an angle…

A: The coordinates of the given point are (2,1). The relation between cartesian coordiantes x, y and…

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?

A: Rule for rotating 180⁰ counterclockwise about the origin If we are rotating any point (x,y) about…

Q: 1. Find the coordinate of the point (2,4) in new system created by rotating the axes by Ø = 30°?

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Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: What will be the new coordinates of point M (-5, -7) after a rotation of 270° counterclockwise about…

A: To fins the new coordinate of point M (-5,-7) after a rotation of 270° anticlockwise about the…

Q: What are the projections of the point (-9, 7,-8) on the coordinate planes? On the xy-plane: On the…

A: We can find the answer as below.

Q: Find the new coordinate of point (6,1) if the axes is translated to the new origin

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Q: What are the coordinates of the point on the directed line segment from (-4, – 10) to (10, –2) that…

A: To Find: Coordinates of the point on the directed line segment from -4,-10 to 10,-2 that partitions…

Q: What are the coordinates of the point on the directed line segment from (-8, 9) to (-6, –3) that…

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