Let A = (1,2, 3), B (3,7,9), and D = (-2,3,–1). Find coordinates for vertex C of parallelogram ABCD. How many parallelograms can you find that have the three given vertices among their four vertices?

Q: Write the coordinates of the vertices after a reflection over the x-axis. 8. 4. 2. 10 -8- -4 10 P' =…

A: The coordinates of vertices of ∆PQR is given by : P(5, -3) Q(10, -3) R(3, -10) When any point…

Q: Find the area of the parallelogram with vertices A(-3, 3), B(-1, 6), C(3, 4), and D(1, 1).

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Q: Find b and c so that y 15x? + bx +c has vertex (– 6, – 4). - c = ||

A: For y=ax2+bx+c, the x-coordinate of the vertex is: -b2a So, from the given equation: y=15x2+bx+c the…

Q: Find the coordinates of the vertices A, B, and C of the rectangular box shown to the right. (0,0,8)…

A: Given,  A rectangular box with coordinate of two vertices are 4, -7, 0  and  0, 0, 8    We have to…

Q: Find the area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and N(4, 5,…

A: To Determine  The area of the parallelogram with vertices  K(2, 1, 1), L(2, 2, 4), M(4, 6, 4), and…

Q: Show that the points A(2, -1), B(1, 3), and C(-3, 2) are verticesof a square, and find the fourth…

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Q: Chas vertices A(1: 3): B(4: 1) and C(6: 4), Prove that

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Q: Find the area of the parallelogram with vertices A(-1,2,3),B(0,4,7),C(1,1,4) and D(2,3,8). Area = ?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find b and c so that y 20z? + bæ + c has vertex (– 2, 2).

A: Given y=-20x2+bx+c. The given equation is an equation of a parabola. The vertex of a parabola y=fx…

Q: Three different parallelograms have vertices at (-1, 1), (2, 0), and (2, 3). Sketch them and find…

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Q: Given the points A(-9, -4) and B(7, 8), find the coordinates of the point P on the directed line…

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

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Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Determine whether these four vertices form a parallelogram: S(- 2, - 8), (0.5, 8) , U(8, 0) , V(5.5,…

A: Given: The given points are: S(-2, -8) T(0.5, 8) U(8, 0) V(5.5, 0)

Q: Find the perimeter of the quadrilateral with vertices P (-3, 0), Q (-8, -5), R (-3, –10), and S (1,…

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Q: 12. Show that A(-3, 1), B(1, 2), C(0, -1) and D(-4, -2) are the vertices of a parallelogram

A: Here,AB=1+32+2-12=17BC=0-12+-1-22=10

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: Given the points F(8,4) and G(-7,-6) what are the coordinates of the point that partitions the…

A: Given that points are F8,4 and G−7,−6. We have to find the coordinates of the point that partitions…

Q: The vertices of ABC are A(-3,4),B(-2,3),and C(-5,2).If ABC is reflected across the line y=1 to…

A: We need to find coordinate of B'.

Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: Which vertices are even? OA OD OB Oc None are even Which vertices are odd? D. B. OC None are odd

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Q: -4 2 U T -10 -8 -2 2 6. 10 9- -2 -4 -9- -8 R 10 R' = 4. 9.

A: On reflecting over x-axis, T amd U will remain same.

Q: Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,…

A: Given points of parallelogram QRSTQ-2,-1 , R-3,6 S1,5 T2,-2

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Find the area of the parallelogram with vertices K(1, 2, 1), L(1, 5, 2), M(6, 10, 2), and N(6, 7,…

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Q: Find the areas of the parallelograms whose vertices are A(1, 0), B(0, 1), C(-1, 0), D(0,-1)

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Q: If three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the…

A: Three corners P{1,1} ,Q{4,2} ,R{1,3} are given so three possible fourth corners are  A{4,4} B{4,0}…

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(7, -3,…

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Q: Find b and c so that y = – 152? + bæ +c has vertex (7, – 4). b = Preview c = Preview ||

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Q: Find the area of the parallelogram with vertices P(2, 3, 3), Q(5, 5, 6), R(10, 9, 14), and S(7, 7,…

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Q: Write the coordinates of the vertices after a reflection over the y-axis. 104 8. 9. 4. 21 -10 -8 F 4…

A: We know that The reflection of point (x, y) across the y-axis is (-x, y).

Q: The vertices of A ABC are A(2, 1), B(3, 4), and C(1, 3). If AABC is translated 1 unit down and 3…

A: Let the coordinate x,y is given. If the coordinate x,y is translated up by 'a' units, then new…

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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Q: Determine whether the four vertices form a parallelogram: P(1, - 4), Q(3, 11) , R(6, 11), S(4, - 4)…

A: Diagonals of parallelogram bisect each other.So we will find  mid points of each diagonal and see if…

Q: 4. M(0, 8), N (–1, 2), O (5, 6), and P (6, 12)

A: Slope of a function determines whether the function is increasing or decreasing. When the slope is…

Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: re with vertices A(3, 6), B(-1, 2), C(-2, - 2), and D(1, 2) across the x- coordinates of the new…

A: The given vertices of the figure, are: A3, 6, B-1, 2, C-2, -2 and D1, 2

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

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

Q: Find the area of the parallelogram with vertices P(1, 3, 2), Q(2, 6, 4), R(4, 12, 12), and S(3, 9,…

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Q: Find the circumecenter of AABC if the vertices are A (-3, 2), B(-2, 5), and C (1, -2). Enter the…

A: Solution attached below

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Determine ξ so that the points P1(4, −3), P2(ξ, −8), and P3(12, −21) are the vertices of a right…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: The vertices of AABC are A(2, 1), B(3, 4), and C(1, 3). If AABC is translated 3 unit down and 2…

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Q: Find the area of the parallelogram with vertices: P (0,0,0), Q (5,-5,0), R (5,-6,1) and S (10,-11,1)

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Q: Graph each rectangle with the given vertices. Then find the perimeter of each rectangle. 3. Н(3, 0),…

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Q: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.

Q: Determine whether the four vertices form a parallelogram: D(2, - 4) , E(4, 8), F(10, 8), G(8, - 4) .

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Q: Show that the points A(-2,9), B(4,6), C(1,0), and D(-5,3) are vertices of a square

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