Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 4x + y2 − 6y = −4

Question

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 4x + y2 − 6y = −4

anonymous · Answer

@Here_to_Help15

anonymous · Answer

do you know the circle equation?

here_to_help15 · Answer

They keep beating me grr

anonymous · Answer

yeah one sec i have it in my notes

anonymous · Answer

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

here_to_help15 · Answer

Here are your answers now for the work :)
Center:: (-2,3)
Radius:: (3)

here_to_help15 · Answer

@gaos finish what you started :)

here_to_help15 · Answer

OK so wanna plug them in with me?

anonymous · Answer

(x^2+4x+4)-4+(y^2-6y+9)-9=-4 
(x+2)^2+(y-3)^2=9 
(x+2)^2+(y-3)^2=3^2 
Circles follow the form: (x-a)+(y-b)=r^2 
Therefore the center of the circle is at (-2,3) and the radius is 3.

anonymous · Answer

got it i think!!

here_to_help15 · Answer

And you continue to suprise me :)

here_to_help15 · Answer

Surprise *

anonymous · Answer

haha thank you :p

here_to_help15 · Answer

:)