The figure below is rotated 180° clockwise and then translated right 4 units. What are the coordinates of the image of point P after these transformations?

(2, 5)

Step-by-step explanation:

P = (2, -5)

Rotating the figure 180° clockwise about the origin means the x-coordinate of P will be negative and the y-coordinate of P will become positive as the figure is rotated from quadrant IV to quadrant II.

Therefore P' = (-2, 5)

Then if it is translated right 4 units, the x-coordinate of P' will be -2 + 4 = 2

So P'' = (2, 5)

Attached diagram

Black = original figure

Blue = rotated 180° clockwise about the origin

Red = translated right 4 units

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168