Answer:
The image of the point is (1, 2)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)
Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
If y=6 then y2 equals 36 because 6 times 6 is 36 and 36+1.5 is 37.5
The distance between points
and
can be calculated using formula

1.

2.

3.

Then

Answer: correct choice is C.
If you added more context then I would probably answer your question