Question

PLEASE HELP THIS IS DUE IN AN HOUR!!!


point v (8,10) is rotated 810 degrees counterclockwise about the origin. what is the x coordinate of the point after this rotation?

Answer 1

Answer:

The x-coordinate after the rotation is -10.

Step-by-step explanation:

A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.

A 90° counterclockwise rotation is defined by the rule

$(x,y) \implies (-y,x)$

The given coordinate is $(8,10)$. Using the rule, we have

$(8,10) \implies (-10,8)$

Therefore, the x-coordinate after the rotation is -10.