Acircle is centered at (-3,2) and passes through the point (1,5). the radius of the circle is units. the point (-7, ) lies on the circle.

(-7, -1) i confirmed and the distance between both -7, -1 and 1,5 to center is 5.

So -1 is the answer!

The radius is 5 units and the point is (-7, 5).

Step-by-step explanation:

First we find the distance from the point on the circle to the center.  This will give us the radius.  We use the distance formula, plugging in the coordinates from these two points:

The radius is 5 units.

We will now use the partial point and the center, with the radius, to find the missing coordinate:

We will cancel the radical by squaring both sides:

Subtract 16 from each side:

We will take the square root of each side:

Add 2 to each side:

3+2 = y-2+2

5 = y

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

the answer is 8.64

step-by-step explanation: