4. A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30, 0). What are the coordinates of the first car after a rotation of 270° about the origin?

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: A circle is specified in parametric form by I=4+7 cos0 y = -5+7sin 0. What are the coordinates of…

A:

Q: 9.3.35 Point O is the center of the regular nonagon shown at the right. A B. Find the angle of…

A: To determine the angle of rotation about O.

Q: Complete the following: 1. What is the difference between a rotation in two dimensions and a…

A: (1) If we consider the spherical coordinates r,θ and ϕ if the rotation is only in two dimensions…

Q: 11. Find parametric equations for the line that contains the points P(2, -4, 7) and Q(0, –3, 5).

A: If Px0 ,y0,z0 and Qx1,y1,z1 are any two points then the parametric equation of the line containing…

Q: What are the coordinates of K' after a 180 degree about the origin? [ Select ] What are the…

A:

Q: 12. What will be the coordinates of point A after a 90 clockwise rotation about the origin?

A: Given coordinates of A A ( 2, -3 ) for 90 degree clockwise rotation  (x,y)→(y,-x)

Q: If four points be taken on a rectangular hyperbola such that the chord joining any two is…

A:

Q: If there is a 60° angle from the positive x-axis to the positive x′-axis, explain how to obtain the…

A:

Q: 10) (section 10.7) Find parametric equations for a circle centered at ( 5,6) with a radius of 4 and…

A: Given:

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A:

Q: Consider the point at (2,4). Suppose you rotated the point 30 degrees counterclockwise about the…

A:

Q: Suppose that A and B are rotations of 180° about the points a and b,respectively. What is A followed…

A: Let Let A be the rotation of 180 degree about point a. Then a is midpoint of P and f(P). It follows…

Q: 7) What will be the coordinates of K' after a +90 degree rotation about the origin? Use parentheses.…

A:

Q: 23) (Section 9.1/9.2) Convert polar equation r =3sin O to a rectangular equation

A:

Q: 13. Find the image of CD with C(0, 4) and D(3, 4) under a rotation of 90° about the origin.

A:

Q: A 43-degree counterclockwise rotation about the origin sends the point P(5,12) to the point P'(x,y).…

A: A 43-degree counterclockwise rotation about the origin sends the point P(5,12) to the point P'(x,y).…

Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

A:

Q: 9. The coordinates of point P on the (-). What unit circle are are the coordinates of Q if Q is a…

A: Given: The coordinates of point P on the unit circle are -34, 74 To determine: Coordinates of Q if…

Q: A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,0).…

A: For the given statement

Q: Graph the image of the figure using the transfor and its image. 1) rotation 180° about the origin…

A: In the question it is asked to calculate the image of the given graph by taking a rotation of 180°,…

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: Find the angle between the plane z=0 and the plane passing through the points (0, 0, 0), (3, 1, 0),…

A:

Q: Which of the following would be the coordinates of the image of C(-7,0) after a rotation by 90…

A: Coordinate after rotation

Q: the point c (-3 -1) is rotated 180 degrees clockwise around the orgin. What are the coordinates of…

A:

Q: Determine the coordinates of the new point after a rotation of 110 about (0, 0) from the point (4,…

A: We will use  rotation matrix about origin to find new point  If after rotating through an angle θin…

Q: What is the minimum angle of rotation (in degrees) that will carry the six-sided star onto itself: I…

A: It is a 6 sided star that means it will redivided into 3 parts:⇒ we divide 360°( full rotation ) by…

Q: If P = (2,-1), find the image of P under the following rotation. 270° counterclockwise about the…

A: We have to find the point

Q: The rectangular coordinates for the polar points [4, is 2 o (-4, 0) (0, 4) o (0, -4) o (4, 0)

A: We have to find

Q: The diagram shows an initial arm of length 1 unit being rotated counterclockwise about the origin to…

A: The given diagram is: To find:  ∠AOB

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A:

Q: How does an image compare to its preimage after a -45 degree rotation?

A: Query- How does an image compare to its preimage after a -45 degree rotation. Answer-As reflection…

Q: Graph the new position of each point after rotating it about the origin. 3) 90 degree…

A: Let say the given point is P(3, -2)

Q: 1) reflection are equivalent to a rotation. True or False: Three consecutive reflections across…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: axis

A:

Q: What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an…

A:

Q: 10. What will be the coordinates of point T after a 180* rotation about the origin?

A: Given coordinates of RSTU R (2,5) S (7,7) T (6,4) U (1,2)

Q: Point A is at (6, -6) and point Cis at (-6, –2). AC. 3 Find the coordinates of point B on AC such…

A:

Q: (a)  Determine the position (xP (t), yP (t)) of the planet, t years after midnight March 1 2021.…

A: a) Determine the position (xP (t), yP (t)) of the planet, t years after midnight March 1 2021. (b)…

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: find parametric equations for the given curve. Line through (3, 1) and (−5, 4)

A:

Q: 10 4 2 E -8 -4 -2 4 6. 8. -2 2.

A: rotation 270 degrees counterclockwise around the origin is (x,y) changes to (y, -x)

Q: A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,…

A:

Q: 9. What will be the coordinates of point Nafter a 270 counterclockwise rotation about the origin?

A: When rotating a point 270° counterclockwise about the origin our point N(x,y) becomes N'(y,-x). This…

Q: What is the rotation that translates AWXY to ΔW 'ΧΎ'?

A: W'X' Side of W'X'Y' triangle is Perpendicular to WX side of WXY Triangle.

Q: What solid of rotation is created here if the axis of rotation is the x-axis? -2

A: to find:- type of solid generated after rotation about the x-axis.

Q: AJKL is shown. What is the image of point J after a 270° counterclockwise rotation about the origin?…

A: Given,

Q: The rotation about the origin at an angle e=180° is defined by (ху)-(ху) (ху)-(ух) O (x.y)->(x,-y)…

A: The rotation about the origin at an angle 180° is defined by :-

Q: 7. Evaluate [4y-xds where C is the upper portion of the circle centered at the origin of radius 3…

A: To Evaluate: ∫C(4y-x)ds, where C is the curve represented in the given figure.

Q: What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2)…

A: Given that