A 47 degres counterclockwise rotation centered at (3,-1) transforms (2,1) into what point?

  1. 👍 0
  2. 👎 0
  3. 👁 118
  1. first, write (2,1) = (3,-1)+(-1,-2)
    so, the rotation has the same effect around (3,-1) as rotating (-1,-2) around the origin.

    So, use your normal transformation matrix on (-1,-2) to produce (h,k).
    Then undo the translation by adding back in the (1,2) you took away first.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3,8). The line's image is Line MN is dilated by a scale factor of 2 centered at the point (0,6). If MN is represented by y=-3x+6, The line's image

    asked by math on January 9, 2019
  2. physics

    Two blocks are placed at the ends of a horizontal massless board, as in the drawing. The board is kept from rotating and rests on a support that serves as an axis of rotation. The block on the right has a mass of 5.4 kg. Determine

    asked by genius girl on January 6, 2015
  3. math

    The point P(3,3) is rotated 270 degrees counterclockwise around the origin. What are the coordinates of the resulting point, P’?

    asked by Ronny on March 19, 2020
  4. Science

    1. How does Earth’s rotation cause day and night? (1 point) As Earth rotates toward the east, the sun appears to rise in the west and set in the east. As Earth rotates toward the east, the sun appears to rise in the east and set

    asked by Emery on February 7, 2019
  5. math

    1.A wind turbine has blades 50m in diameter and an overall height of 125m. If it has four blades instead of three, create four equations modelling the height of a point on the tip for each of the four blades. 2.Create a sine

    asked by josh on April 25, 2016
  1. Math "Need Help Asap"!

    Geometry Unit Practice Sheet Multiple Choice Use the figure to answer questions 1–3. 1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3.

    asked by Markest Lee on December 17, 2015
  2. Math

    Which of the following are necessary to describe a rotation of a figure on a coordinate plane ? A.the center of rotation B.the shape of the figure C.the number on of degrees of the rotation D.the direction of the rotation Is the

    asked by LoveMuffin on October 4, 2015
  3. engineering mechanics

    The resultant if a certain system of forces has x and y components. Determine the components of this resultant with respect to N and T axes rotation 30 degree counterclockwise relative to the x and y axes. Ans. Rn= 500 lb Rt= 266

    asked by shan on May 2, 2015
  4. college physics

    A person walks from point A to point B as shown in the figure below. What is the person's displacement relative to A? What is the magnitude? What is the direction ° (counterclockwise from the +x-axis)?

    asked by tumcee on April 17, 2010
  5. Chemistry

    If the specific rotation of Compound X is (-) 123.8º, what would be the observed rotation of its enantiomer, Compound Y, assuming the concentration and cell path length is the same? b. If a racemic mixture of Compound X and

    asked by Nicole on March 31, 2011
  6. Math:)

    A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates

    asked by girly girl on March 22, 2018

You can view more similar questions or ask a new question.