Respuesta :
Instead of writing "(x+7) to the second power", you can write "(x+7)^2" which is more efficient.
The equation given to us is
(x+7)^2 + (y-13)^2 = 196
which is the same as
(x-(-7))^2 + (y-13)^2 = 14^2
and that equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We can see that
h = -7
k = 13
r = 14
This means (h,k) = (-7,13)
The center is (-7,13)
The equation given to us is
(x+7)^2 + (y-13)^2 = 196
which is the same as
(x-(-7))^2 + (y-13)^2 = 14^2
and that equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We can see that
h = -7
k = 13
r = 14
This means (h,k) = (-7,13)
The center is (-7,13)
Answer:
(-7,13)
Step-by-step explanation:
The equation of a circle is (x+7)to the second power+(y−13)to the second power=196
(x+7)^2 +(y-13)^2 = 196
To find the center of the circle we use the center radius form of the circle
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where (h,k) is the verted and r is the radius of the circle
now we compare with the given equation
h= -7 and k =13
So center of the circle is (-7,13)
