Match the distances with their respective endpoints coordinates. Distance
Coordinates
3.6 units
A.
(-3,4) and (3,4)
4.5 units
B.
(-5,3) and (-5, 11) -
6 units
C.
(-20, -18) and (-22,-21)
8 units
D.
(-2, 4) and origin
15 units
E.
(7,-8) and (-2,-20)
Which of the following is correct sequence of the matching?
swear

what?

step-by-step explanation:

what do you need with. i love quadrants. can you tell me ?

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

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