I NEED THE ANSWER ASAP The image of a triangle after it has been dilated with a center at the origin has vertices at A prime(–12, 6), B prime(6, –18), and C prime. If the pre-image of A prime, point A, has coordinates of (–18, 9) and the pre-image of C prime, point C, has coordinates of (18, 12), which statements are true? Check all that apply
The coordinates of C prime are (27, 18).
The coordinates of C prime are (12, 8).
The scale factor is 1.5.
The scale factor is 0.75.
The scale factor is Two-thirds.
The coordinates of B are (9, –27).
The coordinates of B are (4, –12).

true

step-by-step explanation:

c

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

8p+(-9)

(-9)3p+5p and you can swith em around