Respuesta :

pk6896
The center of a circle can be determined by looking at what is being done to x and y.
The formula for a circle is (x-h)^2 =(y-k)^2=r^2 . H is the x coordinate and k is the y coordinate. r is the radius. You have to be careful, though when they throw in the addition. Here is what your equation really looks like:
 (x-(-1))^2 +(y-(-2))^2=49. Your center is at (-1,-2) and you have a radius of 7.
Hope that helps!
JeanaShupp

Answer: (-1, -2)

Step-by-step explanation:

The general equation of a circle is given by :-

[tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is center and r is radius of the circle.

Given : The equation of a circle : [tex](x+1)^2+(y+2)^2=49[/tex]

[tex]\Rightarrow\ (x-(-1))^2+(y-(-2))^2=7^2[/tex]

Comparing to the general equation of circle , we get

[tex](h,k)=(-1, -2)[/tex]

Hence, the coordinates of the center of the circle = (-1, -2)

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