Triangle XYZ is rotated 90° Counterclockwise about the origin. The Coordinates of the pre-image are X(-7,-9), Y(-10,-3) and Z(-,-9). What are the Coordinates of Z'?

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Q: Coordinates of point P are given in the XY system. Calculate its coordinate in the UV system if the…

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Q: An architect is designing a new windmill with four sails.In his sketch,the sails center of rotation…

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Q: Find parametric equations to represent the line segment from (-2, 7) to (3, -1).

A: on solving this we get

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A: equation of the ellipse is x2/a2 + y2/b2 = 1

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

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Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180^{\circ}180∘ counterclockwise

A: Given point (-9,3)

Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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Q: 4. Endpoints of its conjugate axis at (0,-3) and (0,3) and one focus at (5,0)

A: Given that endpoints of its conjugate axis at (0,-3) and (0,3) and focus at (5,0). We need to find…

Q: A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes…

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Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Let the coordinates are defined as A(0,0,0), B(3,1,0), and C(0,1,1) . The vector BA→ is defined as…

Q: Point ZZ is located at (-5,-3)(−5,−3) on the coordinate plane. Point ZZ is reflected over the…

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Q: The point (3, 4) is plotted on the coordinate plane below.   What are the coordinates of the…

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Q: 3. Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of…

A: Initially the point is (-3,5)

Q: Find parametric equations of the line passing through the points (8, -5, 1) and (-4, -6, 2). Provide…

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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: A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0.70).…

A: Explained below

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Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: Find the new coordinates of the point (2, 4) if the coordinate axes are rotated through an angle of…

A: By rotation through an  angle θ the new cordinates x',y'of the coordinate x,y…

Q: Equation of the plane passing through the point (4, –2, –1) and parallel to yz-plane is

A: To find the equation of the plane passing through the point 4, -2, -1 and parallel to yz-plane.

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

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Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-3,…

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Q: find parametric equations for the lines with the given description.  Passes through (1, −1, 0) and…

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Q: The image of the point (–1, –3) under a translation is (-4, –2). Find the coordinates of the image…

A: Translation is the shifting of coordinates of a point used to get image of a point.

Q: As part of video game, the point (5,7) is rotated counterclockwise about the origin through an angle…

A:

Q: Find parametric equations for the lines with the given description. Parallel to the line through (1,…

A: Consider the given points 1,1,0 and 0,-1,-2 Passes through the point 0,0,4

Q: Determine the XY-coordinates of the given point if the coordinate axes are rotated through the…

A: The given points (x,y) are (13,13) and the coordinate axes are rotated through the angle Φ=45o. To…

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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: Graph the new position of each point after rotating it about the origin. 3) 90 degree…

A: Let say the given point is P(3, -2)

Q: 5. Find the rectangular coordinates of the point (2, 5, ) which is in spherical coordinates.

A: Please note that as per guidelines I am answering the first one that is number 5 only.

Q: Point M(-6,8) is rotated 90 degrees counterclockwise about the origin. What is the coordinate of M'?

A: In case of a counter-clockwise rotation about 90°, a point (x,y) is mapped to (-y, x).

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

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

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Q: equation A and B in parametric and Cartesian form A passing through th

A: Here we have to find the equation A and B in parametric and Cartesian form,  A)  passing through the…

Q: Point T is at (-3, 7). What are the coordinates of point T' after Ry-axis · Rx-axis? T' = (

A: Solving the above problem.

Q: 2. The midpoint of AB has coordinates (4, -9). Endpoint A has coordinates (-3, -5). What are the…

A: we are solving first three question andfor the remaining question post thequestion again and also…

Q: Equation of the plane passing through the point (3, –2, 5) and parallel to yz-plane is

A:

Q: As part of video game, the point (7,6) is rotated counterclockwise about the origin through an angle…

A: Given, As part of the video game, the point (7,6) is rotated counterclockwise about the origin…

Q: What are the new coordinates for A(-5,4) B(-1,3) and C(-4,1) after rotating 75 degrees…

A: Answer and explanation is given below...