Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y –4)

Q: 4. Trapezoid JKLM with vertices J(2, 1) , K(5, 1), L ^ n * (8, - 4) and M(1,-4);90 ° clockwise…

A:

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

A:

Q: 5. Square JKLM with vertices J(-3, 5), K(0, 8). L(3, 5), and M(0, 2); 90° clockwise about P(-4, 0)…

A: If the point (-y,x) rotate 90 degrees clockwise about the point (a,b), then the coordinates of the…

Q: 3. Rectangle PORS with vertices P(5, 15). Q(15, 15). R(15, 10), and S(5, 10): A- 4/5 4. Rhombus WXYZ…

A: Plot the given points and its scaled version

Q: 4. Rhombus WXIZ with vertices W(1,5), X(6, 3), Y(1, 1), and Z(-4, 3): x-ads

A: Given that: The vertices of a rhombus are: W(1,5), X(6,3),Y(1,1), Z(-4,3)

Q: Rhombus WXYZ with vertices W(1, 5), X(6, 3),Y(1, 1), and Z(-4, 3) in the x-axis W'

A:

Q: Find the value of So(4x + y)dy- xydy where C is the path around the triangle in the counterclockwise…

A: The objective is to find the value of the given integral where c is the path around the triangle in…

Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

Q: AABC is transformed using the rule (r, y) - (2r, 2y), centerod at the origin. The new triangle…

A:

Q: two vertices of the a  triangle ABC are (6,-2) and B(4,3) If the co-ordinates of its centroid be…

A:

Q: 6. Quadrilateral STUV with vertices S(-4, 2), T(-2, 6), U(1,7), and V(4, 1) in the x-axis. nioM S'L.…

A:

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

A:

Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: b. Find the distance from the point (2, –2, 3) to the intersection of the planes 2x – y + 3z = 1 and…

A:

Q: 9. Triangle RST has vertices at R(-4, 7), S(-6, 3) and T(-2, 3). Jennifer believes that the…

A:

Q: Parallelogram JKLM has vertices J (0,0), K(2,2), L(x,y), and M (5,0). Find (x,y).

A: Given vertices of parallelogram are J(0,0),K(2,2),L(x,y),M(5,,0)

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

A:

Q: 5. Rhombus CDEF with vertices C-5, 5), D(-1,7), E(-3, 3), and F(-7, 1): 270° counterclockwise E D:…

A: When rotating a point 270 degrees counter clockwise  about origin, point x,y becomes y,-x. This…

Q: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the…

A: As dilation is done thus the size pentagon M'N'P'Q'R' compared to the size of the pentagon MNPQR…

Q: Evaluate (6x-3y)dA where Ris the parallelogram with vertices (2,0), (5,3), (6,7) and (3,4)using the…

A:

Q: 3. Evaluate ff(+2y- )dS where S is the portion of z = 5= 2y + that lies over the triangle in the…

A:

Q: 3. Rhombus KLMN with vertices K(-3, 2), L(1, 4), M(-1,0), and N(-5, -2): (x, y) → (x, y- 5) 4. Re…

A: First we draw Rhombus KLMN and then Draw Rhombus K'L'M'N' .

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

A:

Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

A:

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

A:

Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

A:

Q: 3. Rhombus KLMN with vertices K(-3, 2), L(1, M(-1, 0), and N(-5, -2) : (x, y) – (x, y - 5) K'( M' (…

A: Given vertices are : K-3,2 , L1,4 ,M-1,0 and N-5,-2 Now also given that ,  x,y→x,y-5 Now new…

Q: Let a rectangular a'y'z'-coordinate system be obtained by rotating a rectangular xyz-coordinate…

A: The standard transition matrix from B to B' is given by: P=cosθ-sinθ0sinθcosθ0001

Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: Line AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above…

A: Steps to find HT: Draw xy, one projector and locate VT on it. Draw locus of a110 mm above xy. Take…

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

A: Given points are :  P1(1,4) , P2(3,4) , P3(3,6) , P4(1,6). We will first plot those points in a…

Q: FIS Paralebgram WXZ with vertices WH 2). X-2 6), LCE, 7) and Z4 3). 6c 1) → 6x - 3. y- Rectange ABCD…

A: The solution is given below in the next step:

Q: Hw-2 If A(X, -2,0),B(-lel,=3)_, C(-4,ile2)_and D(3,0,0)are-points-in Slace thenfind value that…

A:

Q: 5. Extension: Find the coordinates of the intersection of the diagonals of the parallelogram with…

A: To find the coordinates of the intersection of the diagonals of the parallelogram with vertices…

Q: 5. Rhombus CDEF with vertices C(-5, 5). D(-1, 7), E(-3, 3). and F(-7, 1): 270° counterclockwise C:…

A: Since you have posted multiple questions so according to our guidelines we will solve only first…

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

Q: 5.12 Find the center of: a) V; b) Qs-

A:

Q: 1. Trapezoid JKLM with vertices J(-6, 6). K(-3,7), L(-1.3), and M-8, 0): (x, y) (x+7, y-3) J'() K'…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 3. 4. Circumscribing the triangle with vertices (a, U), (a, d), (U, %). 2a = 0. Ans. z2 + y+ ax- ay…

A: In the question we have to find equation of circle circumscribed in a triangle. NOTE - As per…

Q: 10. Rectangle ABCD with vertices A(1, 0), B(7, 2), C(8, -1), and D(2, -3): (a) Translation: (x, y) →…

A: Topic:- translation and reflection

Q: The two vertices of a triangle are (3, –6) and (9, -4). Find the ordinate of the third vertex so…

A: Dear Learner,We Expert are following bartleby expert guidelines to answer the question,so we can…

Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Q: Find the coordinates of the vertices after the prism is rotated counterclockwise about the z-axis…

A:

Q: -:Q1 Evaluate , (x- 2y) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (4,1),…

A: The objective is to evaluate ∫∫Rx-2ydA where R is the parallelogram in the xy plane with vertices…

Q: Using A = (1,0, 7), B = (T, -1,0), C = (T, 1,0), D = (0, T, 1), E = (-1,0, r), and F = (0, –r, 1),…

A:

Q: Find the centroid of the triangle whose vertices are  O(0,0) , A(4,0) and B(0,6)

A:

Q: 16. Triangle CDE with vertices C(2, 4), D(6, 7), and E(7, 3): 90° counterclockwise about the origin

A: New points after rotation 90 degree counter clock wise about the origin is given by: X = xcosθ +…