Triangle GHJ with vertices G(-2, 4), H(3, 6), and J(3, -2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation?

Q: Suppose △ABC△ABC with coordinates A(2, 3) B(2, -1) and C(-3, -1) undergoes a dilation about the…

A: (x,y)=>(-2x,-2y)

Q: Find a parameterization for the line segment joining points (0,3​) and ​(6​,0) using the angle θ in…

A:

Q: Suppose point A(9,10) was rotated 270 degrees counterclockwise around the origin.  What is the y…

A:

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

A:

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

A:

Q: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 140 feet and a…

A: equation of the ellipse is x2/a2 + y2/b2 = 1

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: . Parallelogram JKLM with vertices J(-1, 8), K(5, 6), L(7, -2), and M(1, 0); scale factor: k = 2,…

A:

Q: Find the distance between the points.   ​(1​,1​) and ​(1​,−3​)

A:

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

A:

Q: Plot the points 12, 02, 12, - 32, 12, 42, 12, 12, and 12, - 12. Describe the set of all points of…

A: Given points are, 2, 0, 2, -3, 2, 4, 2,1 and 2, -1

Q: conicd Clasty form- k veduce the relation to

A:

Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: 11) Find the distance between point A(-3, 1,1) and the line of symmetric equations x = -y = -z.

A: This question is related to coordinate geometry, We will solve it using given information.

Q: 4. Endpoints of its conjugate axis at (0,-3) and (0,3) and one focus at (5,0)

A: Given that endpoints of its conjugate axis at (0,-3) and (0,3) and focus at (5,0). We need to find…

Q: The plane through the point (3,-1,2) can perpendicular to the a) x-axis b) y-axis c) z-axis d) non d…

A:

Q: Point (x ,y) distance from Q А (5,5) (2,3) (1,1) V20 В 1 C 6. A 5

A: Given: A(5,5) B(2,3) C(1,1) AQ=20 BQ=1 CQ=2

Q: A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes…

A:

Q: Find the image of the point (3,-3) under a dilatation with center at the origin and a scale factor…

A: Given that

Q: a.      A scaled version of shape A was needed, such that its new coordinates become (-2,8) (8,6)…

A: Given data: new coordinates become (-2,8), (8,6), (10,-4), (0,-2)

Q: the foci of an elipse are located at (-8,6) and (10,12), then the coordinates of the center of the…

A: Given that: Foci of the ellipse are: (-8, 6)and (10, 12)

Q: The distance between the points (x,y) and (2,3) is 1) |x-2|+|y-3| 2) Sqrt(x-2)2+(y-3)2 3)…

A:

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: 6. The segment XY with endpoints X(4, 3) and Y(1, -3) is rotated 90° about the origin. What is the…

A:

Q: 3. Line segment JK in the xy-coordinate plane has endpoints with coordinates (-4, 11) and (8, -1).…

A: As per guidelines we can answer only one question at a time, so the first question can be answered…

Q: If you have two points and conic angles theta 1 and theta 2 have a difference of 180 degrees, how do…

A:

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

A:

Q: 1. Find a parametrization of the line segment L from -2 to -2 + 2i. 2. Find the image of L under the…

A: We will find the equation for L and the image of L under w

Q: Find the equation of the plane tangent to the following surface at the given points (7,5, ln 36) and…

A:

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

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: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

A:

Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

A:

Q: 6. Point Q is located at (27, -30). If is dilated by a factor of , with center of dilation as the…

A: Point Q is located at (27, -30) is dilated by a factor of 16, with center of dilation as the origin.

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: Calculate the distance between the points K=(-3, -2) and c=(1, 1) in the coordinate plane. Give an…

A:

Q: 19. A point (x, ) is dilated by a scale factor of 4 with center (-2,1). What are the coordinates of…

A: A point (x,y) is dilated by a factor of 4 with center (-2,1).

Q: Tangent PA and PB are drawn to the circle x2 + y2- 6x + 4y + 3 = 0 from the point P(-2, 4) then…

A: x2+y2-6x+4y+3=0 Now, compare above equation with x2+y2+2gx+2fy+c=0. c=3,g-3,f=2 So, the center and…

Q: B': 3. Trapezoid FGHI with verlices F(-5,-2), G(-2,-2), H(0, -6), and (-8,-6): y-axis F': H: G: I':

A:

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

A:

Q: The coordinate axes divide the xy-plane into four sections called  _______ .

A: Coordinate axes

Q: Calculate the distance between the points L= (8, 0) and K=(1, -4) in the coordinate plane. Give an…

A: we know that distance formula between two points…

Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

A:

Q: parameter t to find a Cartesian equa

A:

Q: Q2 / A man moved from the point (2, -2, 1) to the point (8, 3, 4). Express the displacement moved by…

A: The given point is                    P1 (2, -2, 1)  and  P2 (8, 3, 4) To find displacement in terms…

Q: Parametrize the line segment joining the points P(-3, 2, -3) and Q(1, -1, 4)

A: we have to parametrize the line segment joining the points P(-3,2,-3) and Q(1,-1,4)   as we know…

Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

A: Given, Q=(-1,3,-1) x-4z=2 (equation of plane) x-4z-2=0

Q: Find the distance from the point to the plane. (6, 0, —6), т — у %3D 4

A:

Q: BThe distance from the point (-1, -2, 3) to the plane 2z = - 4x + 5 is [b] (input exact value in…

A:

Q: Given U(1,3), V(-4,-4), and W(-3,6) on the coordinate plane, perform a dilation of A UVW from center…

A: