What is the image of point (2, 8) after a clockwise rotation of 180º about the origin? (2, −8) (8, 2) (−2, 8) (−2, −8)

 The correct option is (D) (-2, -8).

Step-by-step explanation:  We are given to select the image of the point (2, 8) after a clockwise rotation of 180º about the origin.

We know that

if a point with co-ordinates (x, y) is rotated clockwise through 180º about the origin, then its co-ordinates will change according to the following rule :

(x, y)   ⇒   (-x, -y).

Therefore, the co-ordinates of the image of the point (2, 8) after a clockwise rotation of 180º about the origin will be

(2, 8)   ⇒   (-2, -8).

Thus, the required image of the given point is (-2, -8).

Option (D) is CORRECT.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!