2. The figure shows two semicircles. Find the area of the shaded region. Use 3.14 for pie.
6 cm
6 cm

4.71 (corrected to 3 significant figures)

Step-by-step explanation:

12 is the diameter of the big semicircle and 6 for the small semicircle

the radii of the big and small circles are 6 and 3 cm respectively

(6/2 × 3.14) - (3/2 x 3.14) = 4.712388.. = 4.71

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d