ADEF has vertices D(0, 2) and F(6, 2). If ADEF has an area of 12 square units, select all the possible coordinates for E. O (3, 6) O (3, 4) O (6, 0) O (0,6) O (6, -2) (0. 0) (3.-2)

Q: Draw the figure and find the image of the rectangle with vertices A(−4, 2), B(2, 2), C(2, −2) and…

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Q: If W(-10, 4), X(-3, -1), and Y(-5, 11) dassify AWXY by its sides. Show all work to justify your…

A: Given,           If W-10, 4, X-3, -1, and Y-5, 11 of ∆WXY.

Q: 4. Describe the reflection(s) that will carry the rectangle onto itself. 10 -10-9 -7 01 -2 -6

A: Given: The rectangle ABCD. To describe: The reflection of rectangle.

Q: 5. Triangle JKL with verfices J(1,-1). K(2, 3), and L(3, -2): x=4 J': L': K'

A: In the question it is asked to take a mirror image of triangle ∆JKL about x=4. Coordinates of…

Q: 1. E is a triangle with vertices (1,0,0), (0, 3,0) and (0, 0, 2), with 8(x, y, z)=xz+1.

A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: 8. Reflect triangle LMN with vertices L(-2, 3), M(1, 4), and N(2, 1) over the y-axis. 4y L'= M' = N=

A: Given is the triangle with the vertices L(-2,3), M(1,4), N(2,1). It is needed to transform the…

Q: 7. APQR is reflected across the y-axis. If vertex P has coordinates (x,y), what are the coordinates…

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Q: Find b and c so that y = 4x2 + bx + c has vertex (– 3, 1).

A: Given: The equation of the parabola is y=-4x2+bx+c    ... 1 and vertex -3,1. Formula used: The…

Q: Find the value(s) of k such that the points (6, –1), (3, k), and (-3, –7) are vertices of a right…

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Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: 13. The coordinates of the vertices of ARPQ are R(2,–1), P(2,2), and Q(-2,–1). Find mZP. a. mZP =…

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Q: 4-Find the coordinates the front trace F for line AB, if A(2, 1, -2) and B(3, 3, -5). * O (1,-1) O…

A: A=(2,1,-2) B=(3,3,-5)

Q: Give the coordinates of any point(s) of inflection shown on this graph: O (.5,2) and (.5,0) O (0,1)…

A: Inflection points are points where the function changes concavity, i.e. from being "concave up" to…

Q: - Triangle CDE with vertices C(-2, -2). D(1, -4), and E(-3, -4): a) dilation with scale factor of 4…

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Q: Find b and c so that y = 42 + bz + c has vertex (- 6, - 8). %3D

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Q: GL (3,2,), the iilan of the mverse 63 is:

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Q: 8. Triangle MNP with vertices M-6, -8). M-1, -6). and P(-2, -8): y=-5 M: P': N':

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Q: A quadrilateral has the following vertices given: P1 (1, 4), P2 (3, 4), P3 (3, 6), P4 (1, 6). The…

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Q: A triangle has vertices at L (2,2), M(4,4),and N(1,6).6 The triangle is transformed according to the…

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Q: 7. Triangle JKL with vertices J(-3, 1), K(-1, 4), and L(6, –5) -5 -5

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Q: Consider AJKL below. L(-4, 3) J (6, 1) K(-2, - 5) Note that AJKL has vertices J (6, 1), K (-2, -5),…

A: topic - coordinate geometry a segment that joins the midpoints of two sides of a triangle is…

Q: Show that the points D(0, 3), E(−2, 7), and F(2, 9) are the vertices of a right triangle. mDE  =…

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Q: The vertices of pentagon VWXYZ are V(4,5) ,W(6,5),X(6,7),Y(5,8),and Z(4,7).Graph VWXYZ and…

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Q: Find b and c so that y 10x? + bx + c has vertex ( – 8, 0). = c = ||

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Q: 3-5. What are the vertices after ( Ry-axis o D3) and C (-4,-1)?

A: Here, the coordinates are: A:1,3B:-2,5C:-4,-1

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

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Q: Find image of a and preimage of b T(v1, v2, v3) = (4v2 – v1, 4v1 + 5v2) v = (2, -3, -1) , w =…

A: Given, T(v1, v2 , v3 ) = (4v2 – v1 , 4v1 + 5v2) v = (2, -3, -1) , w = (3, 9)

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

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Q: 1. Square BCDE with vertices B(-6, 7), C(-2, 6), D(-3, 2), and E(-7, 3): y-axls B'C CC D' . 1111

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Q: II. Answer each. 7. Suppose there are 10 points in a plane such that no three points are collinear.…

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Q: 3. QRST has vertices Q(-3, 2), R(-1, 4), S(2, 1), and T(0,–1) . Graph QRST and r as (QRST) 4y Q = -…

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Q: Find b and c so that y=−15x∧2+bx+cy=-15x2+bx+c has vertex (9,−3)(9,-3).

A: As we know that the vertex of a vertical parabola y=ax2+bx+c is given by -b2a, 4ac-b24a

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: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=

A: Given that, u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v

Q: Find the total length of the graph of the astroid x2/3 + y2/3 = 4

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Q: 1. AFGH with vertices F(1, 3). G(2. 4). and H(3, 2); translated 3 units left and 1 unit down. AY

A: given triangle points  F(1,3) , G (2,4) , H(3,2) we have to shift this triangle left by unit and…

Q: Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0)…

A: The given points can be plotted as A(3,0,0) B(0,0,2) C(0,6,0)

Q: 1. If JK is formed by J(-7,-8) and K(1, 4), determine if L(-9,5) lies on the perpendicular bisector.…

A: (a) if a point lies on the perpendicular bisector of a segment then it satisfies the equation of…

Q: For the cube graph , the distance between two vertices a=(a1,a2,...,an) and b=(b1,b2,...,bn) is…

A: Define XOR operator such that: x⊕y denotes bitwise XOR operator of x and y.  Thus, if x=x1,x2...xn…

Q: If A (4,3) , B (-1 , y) and C (3,4) are the vertices of right triangle ABC , right - angled at A…

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Q: Write the coordinates of the vertices after a reflection over the x-axis. 104 8. 4. -10 -8 9- -4 2,…

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

Q: How many threes are there with 6 vertices and degrees for the vertices are di 1, d2 = 4, d3 - 1. d4…

A: The basic structure of the tree will be where a,b,c,d are the vertices with a degree 1 (1,3,4,6)

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 if D(a,b) and D(b,c) have the same parity (i.e., are both even or are both odd), then…

A: We will answer the first question as we only answer one question at a time. Please resubmit the…

Q: A natural cubic spline is defined by [a, (x – 1)' + b, (x – 1)² +c, (x – 1) + d, f(x) = if 0<x<1 (x…

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Q: 5. The vertices are at (-2, 3) and (4,3) and the length of the conjugate axis is 8. -10 10 7.

A: Let's find.

Q: Find the norm of the image of U(7, 8) by an reflection about y-axis

A: To Determine :-  The norm of the image of U 7 , 8 by an reflection about y- axis.