What are the coordinates of the image of (-6, 2) after a counter clockwise rotation of 180° about the origin?

9514 1404 393

  (6, -2)

Step-by-step explanation:

Rotation about the origin 180° in either direction negates both coordinates. The transformation is ...

  (x, y) ⇒ (-x, -y)

The image point of (-6, 2) is (6, -2).

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

the answer is 24

step-by-step explanation: