A) Rotate segment AB 90 degrees counterclockwise around (0,0). Label the corresponding point of A as G
and the corresponding point of B as H.
b) What are the coordinates of G and H?

G(-3, 0)

H(-2, 4)

Step-by-step explanation:

Rule for the rotation of a point by 90 degrees about counterclockwise about the origin is,

(x, y) → (-y, x)

Coordinates of the extreme ends of segment A and B are,

A(0, 3) and B(4, 2)

Rotation by the given rule to find the image points,

A(0, 3) → G(-3, 0)

And B(4, 2) → H(-2, 4)

Therefore, new segments will have the extreme ends at G(-3, 0) and H(-2, 4)

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.