Respuesta :
Answer:
C: (-8,3) R:5
Step-by-step explanation:
The equation of a circle can be written as:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
We have the equation:
(x+8)^2+(y-3)^2=25
Center:
The center is (-8,3)
(x+8)^2--> (x-h)^2
Therefore the x coordinate of the center is -8
(y-3)^2-->(y-k)^2
Therefore the y coordinate of the center is 3
Radius
r^2=25
Take the square root of both sides
[tex]\sqrt{r^2}=\sqrt{25}[/tex]
r=5
Answer: The center is located at (-8, 3) and the radius is 5
Step-by-step explanation: To find these answer you can simply analyze the given equation and find the properties of the circle. The center would be located at (-8, 3) because we see in the equation that we have (x + 8) and (y - 3) We would do the opposite of the given sign in this equation meaning that the 8 would become negative and the 3 would become positive. The radius would be 5 because 5 * 5 = 25 which is the same as given in the equation.