Which of the following describes the graph of the
equation y2 + x² = - 6y - 4x?
circle with a radius of 13, centered at (2,3)
B. circle with a radius of 5, centered at (6,4)
circle with a radius of 13, centered at ( - 2, - 3)
D. circle with a radius of 15, centered at ( - 6, – 4)

Respuesta :

Answer:

c

Step-by-step explanation:

x²+y²+4x+6y=0

compare with x²+y²+2gx+2fy+c=0

centre is (-g,-f)=(-2,-3)

radius=√(g²+f²-c)=√((-2)²+(-3)²-0)=√13