Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1) when it rotates through the given angle.90° about the x-axis

Q: The vertices of the triangle ABC are A(-2, 5), B(6,1) and C(-2, -3). Compute the ordinate of the…

A: Centroid of a Triangle Definition: For a two-dimensional shape “triangle,” the centroid is obtained…

Q: 2 -10 -8 2 4 8. 10 -2 R S. -4 -6 -8 10 GPS #3 $4 % 2 4 6 7. 6 2. 4. 6,

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Q: 3- Give the coordinates of the image. T(3, -1)(AABC) for A(5, 0), B(-1, 2), C(6, –3) B I U A II

A: Given query is to translate the ABC abou T(3,-1)

Q: 5. Square JKLM with vertices J(-3, 5), K(0, 8). L(3, 5), and M(0, 2); 90° clockwise about P(-4, 0)…

A: If the point (-y,x) rotate 90 degrees clockwise about the point (a,b), then the coordinates of the…

Q: The plane passes through the point (−2, 3, 1) and is perpendicular to n = 3i − j + k.

A: We know that equation of plane passing through the point (x1,y1,z1) and is perpendicular to the…

Q: Find the coordinates of the vertices of the following figure after a rotation 90° clockwise about…

A: Given vertices are T(0,0), U(-1,3), V(4,1).

Q: Draw a figure that shows the image of the triangle with vertices (0, 0), (1, 0), and (1/2, 1) under…

A: It is given that the vertices of the triangle are 0, 0, 1, 0 and 12, 1. We have to sketch the graph…

Q: Find the distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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Q: Find the parametric representation of the straight line that passes through the points P(3,8) and…

A: A line passing through the point P and parallel to the vector v is described by  parametric…

Q: Show that the points form the vertices of the polygon. right triangle: (2, 0), (1, 2), (-4, -3)…

A: See the attachment

Q: Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin. 8.…

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Q: A quadrilateral has the following vertices given: P1(1,4),P2(3,4),P3(3,6),P4(1,6).the coordinates…

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Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a) The points are A(0,−40, 0) and B (40, 0,⎯20)A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…

A: Consider the provided question, The given rectangle with vertices is drawn as,

Q: (a) the area of the triangle ABC where A(-2, -1,1), B(3, –2, 1) and C(1,3, –2). x +1 (b) the…

A: 3d

Q: 3. Let A(-3,2, X), B(3, –3, 1) and C(5, X, 2) denote three vertices of parallelogram DABCD. (a) Find…

A: In a parallelogram , diagonals bisect each other.

Q: Parallelogram JKLM has vertices J (0,0), K(2,2), L(x,y), and M (5,0). Find (x,y).

A: Given vertices of parallelogram are J(0,0),K(2,2),L(x,y),M(5,,0)

Q: -4 2 -10 -8 -6 -4 -2 2 10 -2 U -4 -8 -10 W 00 6, 6,

A: solution given below..

Q: 22. The coordinates of the point P on the unit cube is A (1,1,0) B (0,1,1) C (1,0,1) D (1,1,1)

A: solution:-

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

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Q: 1.A ( -1,5 ) , B ( 0,6 ) , C ( 2 , 4 ) segments AB , BC , and AC on the Cartesian Plane . 2.Sketch…

A: Solution:

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Triangle ABC has vertices at A (2,1), B(4,2), and C(1,4). What would be the coordinates of the image…

A: we will be applying row transformation

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below with…

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Q: Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin. 10…

A: Given query is to find the the coordinates of the L,M,N after counterclockwise rotation of 180°…

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: Graph each figure and its image under the translation with the given rule. Give the coordinates of…

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Q: Find the coordinates of the vertices of the polygon after the given translation to a new position in…

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Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of…

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Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: Ex: Find the area of the triangle with vertices P(1,-1,0), Q(2,1,-1) and R(-1,1,2). Area of the…

A: The vector A=a1i⇀+a2j⇀+a3k⇀ and B=b1i⇀+b2j⇀+b3k⇀ then the vector AB⇀ is given by…

Q: Find the coordinates of the vertices of the following figure after a rotation 90° clockwise about…

A: Given: T(0,0) U(-1,3) V(4,1)

Q: 5. Find the coordinates of the point P(2,4) with respect to the translated axis with origin at…

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Q: Find the coordinates of point M on the triangle below after a rotation of 90° counterclockwise. O M…

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Q: find the centroids of the triangleswhose vertices appear . Assume a, b > 0. (-1, 0), (1, 0), (0,…

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Q: 2. The coordinates of A, B, C and D are (1, 2, 3), (-1, 4, 4), (2, 1, 5) and (11, a, b)…

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Q: Consider the parallelogram with vertices at (0,0), (2,0), (3,2), and (1,2). Find the angles at which…

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Q: Find the projections of a regular hexagonal pyramid given by the axis o(M[-40,15,30],N[5,45,45]),…

A: Edge of base =20 {mm}Axis length =40 {mm}Resting on one of its triangular face on (Ground) HPEdge of…

Q: 5. Extension: Find the coordinates of the intersection of the diagonals of the parallelogram with…

A: To find the coordinates of the intersection of the diagonals of the parallelogram with vertices…

Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: find the centroids of the triangleswhose vertices appear . Assume a, b > 0. (0, 0), (1, 0), (0,…

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Q: The two vertices of a triangle are (3, –6) and (9, -4). Find the ordinate of the third vertex so…

A: Dear Learner,We Expert are following bartleby expert guidelines to answer the question,so we can…

Q: 22. The coordinates of the point P on the unit cube is A (1,1,0) B (0,1,1) C 1,0,1) D (1,1,1)

A: Use coordinate axis

Q: Find the coordinates of the vertices after the prism is rotated counterclockwise about the z-axis…

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Q: Using A = (1,0, 7), B = (T, -1,0), C = (T, 1,0), D = (0, T, 1), E = (-1,0, r), and F = (0, –r, 1),…

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Q: A triangle with vertices A (4, -1), B (-3, 0) and C (7, 2), what coordinates indicate the reflection…

A: We have been given the vertices of a triangle A (4, -1), B (-3, 0), and C (7, 2).

Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5, 6} and T = {(1,4), (3, 2), (2,…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: -When rotating the triangle (abc) by 30° about the origin, where a-(1,1), b-(4,1) & e-4,3), the new…

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Q: Given U(1,3), V(-4,-4), and W(-3,6) on the coordinate plane, perform a dilation of A UVW from center…

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Q: 16. Triangle CDE with vertices C(2, 4), D(6, 7), and E(7, 3): 90° counterclockwise about the origin

A: New points after rotation 90 degree counter clock wise about the origin is given by: X = xcosθ +…