Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y – 4) A' (__, B’(__. C' (_ 111

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

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'

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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: Draw a figure that shows the image of the triangle with vertices (0, 0), (1, 0), and (1/2, 1) under…

A: It is given that the vertices of the triangle are 0, 0, 1, 0 and 12, 1. We have to sketch the graph…

Q: Find the centroid (ã, §) of the triangle with vertices at (0, 0), (2, 0), and (0, 8). || 18

A: Recall: Centroid of a Triangle with vertices are (x1,y1) , (x2,y2) and (x3,y3) is…

Q: Rectangle WXYZ with vertices H(- 3, - 4), X(0, - 5); Y(- 2, - 11) and Z(-5,-10);1; 180 degrees…

A: To find the rotation by 180° about a point other than the origin, use the following steps. Subtract…

Q: Transform the triangle with the rule (х, у) —-(х+2,у-4) 10 -5- -10 -5 10 -5 -10 Transform the…

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

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Q: Trapezoid PGRS with vertices P(-6, 2), G(-2 -0, R(-2 -3), and S(-6, -6), reflect in the linex-1 (4)…

A: We need to draw transformed image.

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: 2rydA, where D is the triangular region with vertices (0,0), (1, 2) and (0,3)

A: Dear Learner, We expert are following bartleby expert guidelines to answer the questions posted by…

Q: 7. Rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6): scale factor = 2,…

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Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: F = (-3y, 3x); R is the triangle with vertices (0, 0), (1, 0), and (0, 2).

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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: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on th

A: We have to find point.

Q: Consider AXYZ with vertices X(4, 7), Y(8, 5). and Z(6, 3). Follow the steps to the left to find the…

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

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Q: Quad WXYZ has vertices W(-4,-3) , X(0,-1) , Y(6,-2), Z(2,-4). Using properties of diagonals WY and…

A: Coordinate Geometry Question

Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Find the coordinates of the vertices of the polygon after the given translation to a new position in…

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Q: Use Green's theorem to calculate where C is the rectangle with vertices (0, 0), (2, 0), (2, 3), (0,…

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Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: 4. Rhombus WXYZ with vertices W(-2, -4), X(1,-2), Y(4, -4), and Z(1,-6):x-axis W: Y: X': Z':

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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),…

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Q: A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis.…

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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: Find all values of x so that the triangle with vertices A=(x, -3, 4), B=(-1,0, 6), and C=(-2, –2, 7)…

A: The given vertices are A=(x,-3,4), B=(-1,0,6) and C=(-2,-2,7) has area 4.

Q: a plane th

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Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: 8) Rectangle GHJK with vertices G(2,3), H(2, 5), J(6, 5) and K(6, 3) is rotated 180° about the…

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Q: Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

A: Given points are         0,0,4,0,&0,6      And centriod G ?      centriod G= x1+x2+x33…

Q: 5. Quadrilateral WXYZ with vertices W(0, -4), X(13, 0), Y(9, -12), and 2(5, -12); scale factor: k -…

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Q: Triangle ABC with vertices A(-10, -1), B(-4, 0), and C(-9, -6); 180° about K(-5, 2) KA(-5,-3) ->…

A: First we plot all the points A, B, C  and k on graph  Now we look at how many points A is away from…

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: 8. If the vertices of a triangle are A(8, 5), B(-1, 8) and C(2, -1) where would the centroid (Center…

A: Consider the vertices of a triangle is (x, y). The vertices of a triangle are: A(8, 5), B(-1, 8) and…

Q: Vertices: (0, -9) and (0, 9) Co-Vertices: (-8, 0) and (8, 0)

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Q: If & is the solid tetrahedron with vertices (0, 0, 0), (3, 0, 0), (0, 5, 0) and (0, 0, 4) then: z dV…

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Q: 7. Rhombus FGHI with vertices F(6, -1). G(11, -3). H(13, -8). and (8. -6): scale factor = 2,…

A: Dilations involve multiplications. Scale factor 2 means every coordinate of original figure has to…

Q: Use Green's Theorem to evaluate $. xydx + x²y³dy, where C is the triangle with vertices (0,0), (1,0)…

A: Consider the provided question, ∮cxydx+x2y3dy,     where c is the triangle with vertices 0,0, 1,0…

Q: 3 FIND TiHE GENERAL FORM (SIMPLIFIED AS WELC) OF THE PLANE (1,0,5), (2,10, 6) (-),2,3) CONTAINING

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Q: Give the coordinates of Z" after Triangle XYZ with vertices X(-6,4), Y(0,6), Z(-4,2) is reflected…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: 1. F = [2², -x², 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

A: As given that,  F→=z2i^-x2j^+0k^ Calculating curl F,…

Q: 10. Triangle JLM with vertices J(-5, 7), L(8, 3), and M(-3, -1): (0, – 5) J'(__ L’(__ M’ (__,

A: