Apoint at (−1, 10) is rotated 90°counterclockwise about the origin. what are the coordinates of the resulting image?
a (−1, −10)
b (−10, −1)
c (10, 1)
d (1, −10)

The resulting image of given point is (-10,-1)

B is correct.

Step-by-step explanation:

A point at (−1, 10) is rotated 90°counterclockwise about the origin.

Rotation about origin counterclockwise. (Using the rule)

The x coordinate of image point is negative of y value of given point.

The y-coordinate of image point is x coordinate of given point.

-1 changes to -10

10 changes to -1

Hence, The resulting image of given point is (-10,-1)

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: