Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(0, 6),A(0,6),A, left parenthesis, 0, comma, 6, right parenthesis, comma B(4,6)B(4,6)B, left parenthesis, 4, comma, 6, right parenthesis, C(4, 2)C(4,2)C, left parenthesis, 4, comma, 2, right parenthesis, and D(0, 2)D(0,2)D, left parenthesis, 0, comma, 2, right parenthesis. Given these coordinates, what is the length of side CDCDC, D of this rectangle?

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

loloo

step-by-step explanation:

lololool

3

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