Find the coordinates of the centroid of the triangles whose vertices are: a. (5.7), (1, -3), (-5.1); b. (7.4), (3, -6), (-5.2).

Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

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Q: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).

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Q: ,1), (2, 2), (1, 3), (4, 1), (3, 2), (2, 3), (1,4), (5, 1), .... Show that this constitutes a proof…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: The three vertices of a parallelogram taken in order are (-1,0).(3, 1) and (2, 2)respectively.Find…

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Q: Find the values of b and c so that has vertex (-1,2). y = 3x²+bx+c

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Q: Find the area of the quadrangle with vertices Area = (5,1). (-4, 5). (-3,-4), and (4, -3).

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Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…