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

Q: A quarter-turn is a 90-degree rotation. If the counterclockwise quarter-turn centered at (3,2) is…

A: Given that

Q: 10.) Find the image for point (0,7) after a 90 degree counter clockwise rotation about the origin.…

A: First method: (0,7) lies on the y-axis and 7 units above the origin when it is rotated 90 degree in…

Q: Describe the figure that generated by the rotation in three-dimensional space. A rectangle rotated…

A:

Q: what is the image of the point C1-2) ander the rotation about the. point (2,3) at an angle e - 1800…

A: When the image of point A is formed by rotating by 180⁰ about point P. Then the point P is the mid…

Q: Sketch the curve in the complex plane given by | Z-3| = | 7 + 3i } %3D i, z'+ 2?= 2. %3D

A:

Q: 16. What is the image of (2, -2) rotated 270° counterclockwise about the origin? А (-2, -2) в (-2,…

A: Solution

Q: An architect is designing a new windmill with four sails.In his sketch,the sails center of rotation…

A:

Q: The point (3, 4) is plotted on the coordinate plane below.   What are the coordinates of the…

A:

Q: -1 onto the line through 4 -3 and the origin. Compute the orthogonal projection of The orthogonal…

A:

Q: 4. A carnival ride is drawn on a coordinate plane so that the first car is located at the point (30,…

A: Coordinate point is (30,0) Rotation is 270 degrees.

Q: Triangle XYZ with vertices X(0, 0), Y(0, -2), and Z(-2, -2) is rotated to create the image triangle…

A: Given:Triangle:X0,0Y0,-2Z-2,-2Image Triangle:X'0,0Y'2,0Z'2,-2

Q: 1) Find parametric equations for the line which contains A(2,0, 1) and B(-1,1, –1).

A:

Q: 10. Find the image for point (0, 7) after a 90° counter-clockwise rotation about the origin. a.…

A: Given, The point: (0, 7)

Q: Transform to rectangular coordinates. 2. 4et - 2en 3. 5c1 + 4c2 + 5i + 2j 4.-Зer + бед +4i - 3j

A: Given: Let us determine the transformation to rectangular coordinates. 2). 4et-2en 3).5c1+4c2+5i+2j…

Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

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

A: Given:

Q: Find the image of the point A(-2, 4, 5) under a rotation of 60 degrees In the plane x = 2 about the…

A: We need to find image of given point.

Q: Find parametric equations of the line that is perpendicular to both i = (1,0,0) and i = (1,1,1) that…

A: Given that: i=<1, 0, 0>v=<1, 1, 1>and P(1, -2, -1)

Q: A 15-degree counterclockwise rotation centered at (2,1) sends (4,6) to another point (x, y). Find x…

A: FORMULA: Suppose,         center = (a,b)                         Point = (x,y)…

Q: 5. Find the image of A(-6, 5) after a rotation of 270° about the origin.

A: A(-6, 5) To find the image of A(-6, 5) after a rotation of 270° about the origin.

Q: Explain the error made when rotating B(3, - 1) counterclockwise 270 degrees about (- 2, - 5) . Step…

A: given point B3,-1 claim- rotate counterclockwise 270° about -2,-5 solution if the point of rotation…

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: 5. Find the parametric equations of the line that passes through the point (0, 1, 4)and is…

A: Given two vectors, u=2, -5, 1v=-3, 1, 4 Also, given the point, P=0,1,4 The cross product of u and v…

Q: 12. Triangle LMN with vertices L(-9, -1), M(-3,-4), and N(-5, -8): a) 270° counterclockwise rotation…

A: Given: Triangle LMN with vertices L-9, -1, M(-3, -4) and N(-5, -8). a) 270° counterclockwise…

Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x=1+2t y%3Dt z-5-3t -o<…

A:

Q: What are the order of rotational symmetry and the angle of rotation of the 2-D shape?

A:

Q: Find the parametric equation of the line through the points (−3, −2, 1) and(−1, −3, −1)

A: Given:

Q: Transform to spherical coordinates: F 102-8ỹ+6ż at point P (10, 8, 6)

A:

Q: Give each rule for counterclockwise rotation about the origin 90°: (x,y)

A: To rotate a figure each point of figure rotate in given direction.

Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: Give each rule for counterclockwise rotation about the origin 270°: (x,y)

A: Given Rule for counterclockwise rotation about the origin 270°: (x,y)

Q: 5. Which of the Two-Reflection Theorems for Rotations and Translations could apply when the…

A:

Q: Let Rotation, be the rotation of 180 degrees around the origin. Is L parallel to Rotation, (L)? Use…

A: Given that, Rotation_0 be the rotation of 180 degrees around the origin.

Q: coordinates of A(-11.5, 9), B(14, 8), and C(6, -7). What are the coordinates of its image after a…

A: Given data:     The first point is: A=(x1,y1)=(-11.5,9). The second point is: B=(x2,y2)=(14,8). The…

Q: 3. Find the parametric equation of the line passing through the point (-1,0, 3) and in the direction…

A: Equation of the line passing through the point (-1,0,3) in the direction N(7,0,-2) is   ( x+1)/ 7 =…

Q: 4 B A 6 -$ -4 -3 -2 2 3 4 5 -1 -2 -3 -4 -5 1. Identify the center of rotation and give the…

A: for canter of rotation we join the adjacent point of two triangles which located in first and second…

Q: Graph, Triangle XYZ with vertices X(-6,4), Y(0,6), and Z(-4,2): 180 degree counterclockwise…

A: Given: X-6,4Y0,6Z-4,2

Q: Which transformation will place the trapezoid onto itself? (-2, 3) (2, 3) (-4, -3) (4, -3)…

A: symmetry about Y - axis

Q: 6) Find parametric equations for the line through P(0, -2,-2) and Q(1,1,0).

A:

Q: Z(5, -7) is the image of Z after a reflection in the ine y = x. What are the coordinates of Z?

A: Given that, the point Z'5, -7 is the image of the point Z after a reflection along the line y=x. In…

Q: 5. Find the transformation that rotates the plane by 60° anticlockwise about the point (-1,2). Also,…

A: We will solve this problem in the following steps.

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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: Find the transformation that rotates the plane by 60° anticlockwise about the point (−1, 2). Also,…

A: Find the transformation that rotates the plane by 60° anticlockwise about the point (−1, 2). Also,…

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

A: Given,

Q: 3. The position vector [3 2 1 1] lies in the YZ plane and forms 30 degree with the principal axis.…

A: Given: Position vector 3211 lies in the YZ plane and forms 30°. To find: On rotation, it forms 45°…

Q: What solid of rotation is created here if the axis of rotation is the y-axis? 12 -4 -2 2 -2 O prism…

A: We can find the answer as below