Find the center and radius of the circle with the given equation. Then select the correct
graph of the circle.
x2 + 8x + y2 - 14y + 40 = 0
The center of the circle is ___
and the radius is ___

The center of the circle is .

Its radius is .

Step-by-step explanation:

Let represent the center of the circle, and let represent the radius of this circle. The equation for the circle would be:

.

Expand the left-hand side of this equation using the binomial expansion:

.

.

Compare this equation with the one given in the question:

.

These two equations should represent the same circle. For that to happen, the coefficients should match. That gives a few equations about , , and .

However, it is already determined that and . That means .

.

Hence, the radius of this circle is . Also, its center is at .

answer: the first one

step-by-step explanation: use a calculator and divide the minutes by the dollars.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.