Using the translation that maps (2, – 1) to its image (5, 3), what is the image of any point (x, y) ? Your answer: O(x+3, y+4) O (x-3, y+4) O(x+3, y-4) O x-3, y-4)

Q: 5. Write a rule for the translation of a point of the plane figure above. A. (x,y)→ (x-2,y+3) B.…

A: Translation of a point of the plane means moving all the points of that plane to a new coordinate.

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: 2:- find the line of interSection o f the plane -2x + 73 - 2324 given by 3x t6y-52=-3 f the plane

A:

Q: Find the distance between the planes 5x- 3y +z = 6 and 5x-3y +z = -7. Need Help? Read It

A: Distance between parallel planes

Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

A:

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: AJKL has coordinates J (2, 4), K (3, 1) and L (3, 3). A translation maps the point J to the point J'…

A: Explanation: Given that, △JKLJ(2,4)→J'(3,3)K(3,1)L(3,3)     Concept Used: To translate the given…

Q: 13. Find the distance between the two given parallel planes. x+y-3z = 4 x+y-3z=12

A: Given that:

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: 6. Given a rule x² + y² = 9, its image rule x? + y² – 2x + 6y +1 = 0 under a translation, state a…

A: To solve the given translation problem.

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

A:

Q: 8. The distance between the planes 2r -y-2z 5 and 2r - y- 2z = 7 is A C 2 D 4

A: As the planes are parallel than for calculation distance between planes we use formula:…

Q: 6. Given a rule x2 + y2 = 9, its image rule x2 + y2 – 2x + 6y + 1 = 0 under a translation, state a…

A:

Q: Find the line of intersection of the given planes. 4x + y-z = 0 and 2x - y + 3z 4 %3D

A:

Q: The notation (x, y) → (2x, 2y) defines a translation on the coordinate plane. O True O False

A:

Q: Determine the general cquation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A: We have to find equation of ohm plane

Q: Find the distance between the parallel planes 2x +y + z = 0 and - 6x – 3y-3z – 13 = 0. | NOTE: Enter…

A:

Q: Find the point on the plane x−3 y+3 z =−8 that is closest to the point (−2,−2,0) .

A:

Q: perpendicukar to the plane 3x- 4y+ 2z = 7

A:

Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

A:

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: #5

A:

Q: L' M' Which describes how the transformation affects the coordinates of the vertices of trapezoid…

A:

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

A:

Q: The plane that passes through  (9, 0, −3)  and contains the line  x = 6 − 3t, y = 2 + 5t, z = 4 +…

A: Given : A point (9,0,-3) where the plane passes through.             A system of equations for line…

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: Find the point on the plane −2 x+y−z =−9 that is closest to the point (3,−2,2) .

A: We have to find a point on the plane closest to another point.

Q: ) find the eq. Plane that Contains the -=9+ 6 = 2 - X-y= 2-4 and Passes through origin? %3D…

A: Equation of any plane passing through origin is  ax+by+c=0 And follow step 2nd  .

Q: What is the rule used to transform ΔABC to its image?   A(−3, 5), B(2, 8), C(−4, −5) and A'(−3,…

A: Given ,  A(-3 , 5) , B(2 ,8) , C(-4 , -5) and A'(3 , -5) , B(2 , -8) , C(-4 , 5) We have to find…

Q: Find the distance between the given planes: 5x - 3y + z = 2 & 5x- 3y + z = -3 | Upload Choose a File

A:

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

A:

Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

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: Find the distance from the point to the plane. (10,10,5), 9y + 2z = 0 The distance is 0

A:

Q: What is the composition of the translations (T-3, 45° Ts, -72) (X, y) as one translation? (T-3, 4•…

A:

Q: 2. Find the coordinates of the y-intercept of the plane (x, y, z)=(4,6,5) +s(2,3,1) + t(3,6,12)

A: To find out the coordinate of y-intercept.

Q: 4. y=4-x² , y=3x and the x-y plane is given by the fol expresions.

A: We have to choose the correct option according to the given information

Q: Find the image of the given point under the given translation. P(-8, 9) T(x, y) = (x- 10, y-5) P' =…

A: The given point P (x,y) =(-8,9) Therefore, x=-8 and y=9. Given transformation is T(x,y)=(x-10,y-5).…

Q: Find the angle between the planes x+2y+2z-5=0 and 3x+3y+2z-8=0

A:

Q: 7. C is the hexagon in the xy-plane with vertices (5, –5), (5,5), (0, 10), (–5, 5), (-5, –5), and…

A:

Q: *15. What is the name for the point on the coordinate plane that has the (Inv. 7) coordinates (0,…

A: The given point is: (0, 0)

Q: Find the coordinates of point L on the triangle below after a translation using the rule: (z, y) – >…

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: Points A, B and C are collinear, and AB: BC =1:4. A is located at (-5, - 3), B is located at (-2, 0)…

A: Points A, B and C are colinear . According to the situation we have diagram

Q: hat are the coordinates of the point on the directed line segment from (–7,5) t ',-9) that…

A: In the question we need to find the coordinates of a point which divides the line segment joining…

Q: Find the distance from the point to the plane. (7,3,6), 10y +z= 0 The distance is

A: Given query is to find the distance between the point and the plane.

Q: 5. Cakculate the distance between the point (3. 1. -2) and the plane 2x + y - z+1-0 O 10 /14 O -10…

A: Find the distance between point and plane?  Value of k for det A= -4

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

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.