Select the correct answer.
a circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. what are the coordinates for the center of the circle and the length of the
a.
(-7, -1). 36 units
'b.
c.
d.
(7.1). 36 units
(7.1), 6 units
(-7, -1), 6 units
next

(- 7, - 1), 6 units

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² + y² + 14x + 2y + 14 = 0

Collect x/y terms together and subtract 14 from both sides

x² + 14x + y² + 2y = - 14

To obtain standard form use the method of completing the square

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(7)x + 49 + y² + 2(1)y + 1 = - 14 + 49 + 1

(x + 7)² + (y + 1)² = 36 ← in standard form

with centre (- 7, - 1) and radius = = 6

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.