1. Rhombus ABCD with vertices A(2, 6). B(6, 7). (5, 3), and D(1,2): 180° A' B'(_ , __ D' 1777

Q: %3D 1. Write the image points for T-5,3>(ADEF) =ADIE¡FI. D'( E'C

A: In the given figure, D(2,1), E(5,1), F(4,-2). T-5,3(∆DEF)=∆D'E'F' The translation T-5,3 moves all…

Q: Q3. Evaluate [(A +B). (à – B)] if à = 2î – 3ĵ + 5k and B = 3î + j – 2k

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only one…

Q: If a point, P1=[10,10,10], will be rotated by 60 degree about the Z-axis, find the final position…

A: Solution ) suppose P1 [ x1 y1 , z1] is rotated about z axis so new point P2 [ x2 , y2 , z2 ] is…

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

Q: c) Rotate ATAB if T(2,3), A(1,1), B(4,-3) 90° clockwise about the origin, then reflect the image…

A: Answer is mentioned below

Q: Compute22-2 dz, where C is the square with vertices 2+2i, -2+2i, -2- 2i, and 2 - 2i oriented in the…

A: 1.Cauchy Residue Theorem:∫Cf(z)dz= 2πi[sum of Residues of f(z) at poles lies inside of the closed…

Q: 2. Evaluateſ. a+ (z+30:) dz along C which is the circle |z + 3i| = 3, counterclockwise. %3D (z+3i)

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Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: If triangle ABC is reflected across the y=1, what will be the coordinates of B'? (2, 5) |(-4,3) (2,…

A: We have to reflect the point B(2,3) across the line y= 1 .

Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: Given is the triangle D with vertices 0,0,1,0,0,2 The objective is to evaluate the integral ∫∫D…

Q: Suppose u = (1,1,–2), v=(3,-2,1), and w =(0,1,-5). Find: %3D (a) The cosine of the angle between u…

A: We will answer the first three subparts of this question as per our guideline. Please resubmit the…

Q: 1. The shape function for the two dimensional rectangular element in Figure 1 are: N₁ N3 1 4ab 1 4…

A: As per the question, we are asked to find the Jacobian matrix [J], its determinant |J|, and the B…

Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

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Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: The coordinates of quadrilateral ABCD are as follows: A = (3,0), B = (7,1), C = (6,-4), and D=…

A: Given dataThe coordinates of quadrilateral ABCD are,

Q: 52.The parallelogram A B C D is placed such that : A (5,2), B (9.5, 8), C = (xc, Yc), D (xd ,Yd).…

A: Given information:The parallelogram  with the vertices  and .It is provided that the distance…

Q: D. (-1, C. 16 6. Determine the equation of a circle with center at (-4, 0) passes through the point…

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Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: If B (-2, 6) is rotated 270°, what are the coordinates of B'? O B'(2, 6) O B'(-6, -2) O B'(-6, 2) O…

A: In first quadrant x, y both are positive In second quadrant x is negative y is positive In third…

Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: If I TRANSLATE the triangle BOC with coordinates B(-6, -2), O(-4, -4), and C(-4, -1... RIGHT 9 and…

A: Translation of points problem

Q: Given: AB with coordinates of A(-3,-1) and B(2,1) A'B with coordinates of A'(-1,2) and B'(4,4) Which…

A: Coordinates of AB is A-3,-1 and B2,1. Coordinates of A'B' is A'-1,2 and B'4,4.   Consider the A and…

Q: Find the coordinate of A(-4, 6) after it has been otated 90 degrees counterclockwise, reflected ver…

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Q: Find the reflection of the point A(6,-1) in the x-axis. 6,1 yaxis Just fies Criangle ABC is rotated…

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Q: Rotate points P/(1,1,1), P2(2,1,2), P3(2,3,1) & P4(1,3,2) +30° around

A: Here, in the question We have to rotate the points about the points P1(1, 1, 1) , P2( 2, 1, 2),…

Q: d. Find angle between planes 12x+15y–17z =96 and 19x –13y–15z = 69. %3D %3D

A: d. First let us discuss the how to find angle between two planes. If we find angle between the…

Q: Which equation should be used to imply that / and p parallel? 8x-21 A. 3x + 14 = 8x - 21 B. 2 (3x+…

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Q: 15. If P(-6, 2) is a point, what are the coordinates of P' the point rotated about the origin 180…

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Q: 16. Which quadrant does each point belong to? a) (2/5, -3) b) (-1, -3/5) c) (5,0) d) (-0.73, 0.5) e)…

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Q: 24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? a. (x – 1)2…

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

Q: Reflect Point C over the y-axis: A 3 -5 -4 -3 -2 -1 5 -1 O a) (-3, 2) O b) (3,2) O d) (3,0) c)…

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