Consider the points A(1, -3, 7), B(3, 2, 7) and C(-1, -1, k). Determine the possible value(s) of k the area of AABC = 7.5.

Q: Identify the area of the polygon that has vertices H(5,-2), P(2,-4) O(-3,-2) S(-2,4)

A: We plot the given points first

Q: 1. A (-4, -1) B (-1, -1) C (-1, -5) D (-4, -5) Find the area.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Points X(6, 8), Y(3, 3), and Z(13, -3) form a triangle. What is the area of AXYZ? area of AXYZ =

A: If P(x1,y1),Q(x2,y2) and R(x3,y3) are the points of the triangle , then                Area of the…

Q: S = 1/2(a +b + c) for a (geometry, semi or half perimeter of a triangle)

A: We have to write the formula for area of triangle.

Q: Find the perimeter of a rectangle EFGH with coordinates E(-3,-2), F(-8,-2), G(-8,9), and H(-3,9)

A: To find: The perimeter of rectangle EFGH. Given: The points are E-3,-2, F-8,-2, G-8,9 and H-3,9.…

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

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: Find the Area of this Rectangle! (Hint: Area is length times width) (3x - 7) x + 8x – 35 3x2 + 22x…

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Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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