Consider a tetrahedron ABCD whose base is a triangle with vertices A(1,2,−2), B(3,3,−1) and C(3,4,−2). It is known that vertex D belongs to the y axis and that the height relative to this vertex is 5√3. Check the alternative that contains the ordinate (2nd coordinate) of vertex D.   a. 44 b. -11 c. -21 d. 99 e. −16

Q: Given the vertices A(-5,-4,8), B(2,3,1), C (4,1, –2), D(6,3,7). of the pyramid. Find the length of…

A: we have been given the vertices A(-5,-4,8), B(2,3,1), C(4,1,-2) and D(6,3,7) of the pyramid. we have…

Q: Three vertices of parallelogram ABCD are A(-5;0), B(0;1) and D(-1;3). Evaluate the length of…

A: Given 3 vertices of the parallelogram are  A-5,0 ; B0,1 and D-1,3  Let the fourth vertex be Cx,y…

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(5, −2,…

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Q: IfA(-2, – 1),B(a,0),C(4,6) and D(1,2) are the vertices of a parallelogram .ind the values of a and b

A: Given three vertices of a parallelogram are A(-2,-1), B (a,0), C (4,b) and D(1,2). In a…

Q: A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point…

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Q: Find the perimeter of the polygon with the vertices Q(-3, 2), R(1, 2), S(1,-2), and : T(-3,-2). The…

A: The solution are next step

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

Q: Vertices P and Q of hexagon PQRSTU are shown on the grid. Graph and label the other four vertices of…

A: Solution:

Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

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Q: A rectangle with vertices in quadrants I and IV has 2 vertices located at (2,2) and (7,2). If the…

A: Assume  length = a Width = b Vertices , ( 2 ,2 ) and ( 7,2 ) From the given vertices  length a = 5…

Q: Where are the coordinates of the third vertex?

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Q: Verify that A + B and AB are upper triangular.

A: Given,    A=32-10-43000    and   B=6-32024003 Recall that, The square matrix is called upper…

Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A & C are diagonally opposite points  And, B & D are diagonally opposite points.

Q: The triangle vertices are given by the points A(3, 5, 7), B(a, 5, 5), and C(5,5, 4), if the area of…

A: We know that area of a triangle is half of a parallelogram.

Q: For items 7 - 10: A square with vertices A(-1, -1), B(-3, 3), C(1, 5) and D(3, 1). 7. Find the…

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Q: Find a and c so that y = ax + 24x + c has vertex (2, 37). a с — ||

A: From the vertex of a parabola

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: The coordinates of the vertices of a triangle are K(-6, 1), R, (5, 0), and S(-2, -3). Find the…

A: The question can be solved using the concept of distance formula.