Question

The equation x2+y2+4y=10 describes a circle. Which equation describes the same circle?

A: (x−0)2+(y+2)2=10
B: (x−0)2+(y+2)2=14
C: (x−0)2+(y−2)2=14
D: (x−0)2+(y−2)2=10

Answer 1

Answer:

x² + y² - 4 x + 2 y = b

x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1

( x - 2 )² + ( y + 1 )² = b + 5

y - coordinate of the center of the circle is: y = - 1

b + 5 = r

b + 5 = 7

b = 7 - 5

b = 2

Answer 2

Answer:

C: (x-0)2+(y-2)2=14

Step-by-step explanation:

I did it on imagine math:)