Triangle ABC has vertices A(-1,10), B(2,1), and C(-4,1). What are the coordinates of the centroid triangle

Q: The eight vertices of the rectangular prism are as follows. V = (0, 0, 0), V, = (1, 0, 0), V, = (1,…

A: Consider the given vertices of a rectangular prism as follows.

Q: 1) Vertices: (6, 10), (-10, 10) Foci: (-2 + 4 V3, 10), (-2 – 4 V3, 10) 2) Vertices: (-9, 16), (-9,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A parallelogram is transformed according to the rule (x,y) (x,y) which is another way to state the…

A: We have to find the another way to state the given transformation.

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: Find the centroid (ĩ, g) of the triangle with vertices at (0, 0), (10, 0), and (0, 9).

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Q: Find the coordinates of the centroid of APQR with vertices P(-2,5) , Q(4,1) , and R(-2,- 3). The…

A: Explanation of the answer is as follows

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…

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Q: 5. A triangle is defined by the points (5,6), (9,17), and (-2,1). Find the coordinates of the…

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Q: Transform the triangle with the rule (х, у) —-(х+2,у-4) 10 -5- -10 -5 10 -5 -10 Transform the…

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Q: Find the centroid (x¯,y¯) of the triangle with vertices at (0,0), (6,0), and (0,1).

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Q: Triangle ABC with vertices A(-10, -1), B(-4, 0), and C(-9, -6); 180 about K(-5, 2) A' L CLJ 5.…

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Q: two vertices of the a  triangle ABC are (6,-2) and B(4,3) If the co-ordinates of its centroid be…

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Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Solution:-

Q: A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is…

A: Given  A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6).

Q: Find the coordinates of the centroid of the triangles whose vertices are: a. (5.7), (1, -3), (-5.1);…

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Q: Prove that the centroid of a parallelogram is the point of intersection of the diagonals of the…

A: The vertices of the parallelogram are (0, 0), (0, a), (b, c), and (b, a + c)

Q: Find the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Distance formula: let us assume two points be A (x1,y1)and B (x2,y2)the distance AB is given as…

Q: Triangle (JKL) with vertices J(-3,-2), K(-3,-12), and L(-8,-12); scale factor: k=1/5 center of…

A: Triangle (JKL) with vertices J(-3,-2), K(-3,-12), and L(-8,-12); scale factor: k=1/5 center of…

Q: A cube is located such that its top four corners have the coordinates (−4,−3,1)(−4,−3,1),…

A: Given ,  A cube is located such that it's top four corners have the coordinates (−4,−3,1) , (−4,3,1)…

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: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: 6. A triangle is defined by the points (5,6). (9,17), and (-2,1). Find the coordinates of the…

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the…

A: Note: Dilation with Center at Origin, (0,0): DO, k(x, y)=(kx, ky), O=center of dilation at (0, 0);…

Q: Quad WXYZ has vertices W(-4,-3) , X(0,-1) , Y(6,-2), Z(2,-4). Using properties of diagonals WY and…

A: Coordinate Geometry Question

Q: A triangle has vertices A(1,3), B(7,0) and C(4,6). Determine the equation of Euler's line? Hint:…

A: Sketch the triangle:

Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: Equation of the circle whose center is the centroid of the triangle with vertices (-7,2), (4-3),…

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Q: Find all the planes parallel to the plane passing through the points(1, 2, 3), (1, 2, 7), and (1, 1,…

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Q: Find an equation for the plane passing through the points: (2, −1, 1), (3, 1, 0), and (0, 2, −3)

A: Let the three points be: A (2, −1, 1): A→=2i^-j^+k^ B (3, 1, 0): B→=3i^+j^ C (0, 2, −3): C→=2j^-3k^…

Q: The vertices of a triangle are (2, 3), (-4, 6), and (2, -6) 1. Determine the ordinate of the…

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Q: Find an equation of the plane that passes through the points (4, 3, 3), (2, 2, –2), and (-5, 3, 2).…

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Q: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: Triangle XYZ has vertices X(-3,5), Y(0,2), Z(-4,0). What are the coordinates of the orthocenter of…

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Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

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Q: 5. Quadrilateral WXYZ with vertices W(0, -4), X(13, 0), Y(9, -12), and 2(5, -12); scale factor: k -…

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Q: A triangle has vertices (1, 1), (3, 7) and (5, 4). What is the distance between the centroid and the…

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Q: I = S[2.xydxdy =? B

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Q: Triangle ABC with vertices A(-10, -1), B(-4, 0), and C(-9, -6); 180° about K(-5, 2) KA(-5,-3) ->…

A: First we plot all the points A, B, C  and k on graph  Now we look at how many points A is away from…

Q: Find the coordinates of the point. The point is located in the yz-plane, seven units to the right…

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Q: 8. If the vertices of a triangle are A(8, 5), B(-1, 8) and C(2, -1) where would the centroid (Center…

A: Consider the vertices of a triangle is (x, y). The vertices of a triangle are: A(8, 5), B(-1, 8) and…

Q: 5. The line passes through the point (-4, 5, 2) and is parallel to the xy-plane and the yz-plane. 6.…

A: Solution for a: Since line passes through the point P(-4,5,2) and parallel to xy-pane and yz-plane.…

Q: The centroid of a triangle lies at the intersection of the triangle's medians, because it lies…

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Q: -) Find the distance from the point (4, 22, 6) down to the ry-plane. ) Find the distance from the…

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Q: A triangle in the coordinate plane had coordinates of (2,3) (-4,5), and (-2,4). It is reflected…

A: we will first take reflection of every  point about y axis which means the sign of x values will…

Q: 9. The vertices of the triangle in the diagram below are A(7,9), B(3,3), What are the coordinates of…

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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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