Parallelogram ABCD is rotated to create image A'B'C'D'. Which rule describes the transformation?
B
5+.
---
3
2
11
0 (x, y) - V -X)
O (X, Y) - (y, x)
(x, y) - (-X, -)
(x, y) - (x, y)
D
C
3 4 5 6
B-5-4-3-2-1
-2
D
B

answer;

the correct answer

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answer: it's d

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

where is the gragh

step-by-step explanation: