Give the center and radius of the circle (x + 2)2 + (y - 4)2 =36

A. Center: (2,4)
Radius: 6
B. Center: (-2,4)
Radius: 6
C. Center: (-2,4)
Radius: 36
D. Center: (2,-4)
Radius: 36

Respuesta :

gmany

Answer:

B. Center: (-2, 4)

Radius: 6

Step-by-step explanation:

The equation of a circle:

[tex](y-h)^2+(y-k)^2=r^2[/tex]

Where

[tex](h,\ k)[/tex] - center

[tex]r[/tex] - radius

We have the equation

[tex](x+2)^2+(y-4)^2=36\\\\\bigg(x-(-2)\bigg)^2+(y-4)^2=6^2[/tex]

Therefore

the center is (-2, 4)

the radius is 6