Question

Find the coordinates of the center of the following circle.

(x - 5)² + (y + 3)² = 25


(-5, 3)

(5, -3)

Answer 1

if you have \((x-a)^2+(x-b)^2=r^2\)
the center is (a,b) and the radius is r

Answer 2

look at you circle equation and see what you need to do

Answer 3

my mistake it should be with y-b not x-b

Answer 4

\((x-a)^2+(y-b)^2=r^2\) like this
now it looks like your equation look for a and b

Answer 5

do you get it

Answer 6

not really

Answer 7

every circle equation is written like \((x-a)^2+(y-b)^2=r^2\)
this is a general circle equation with center (a,b)
in your case you have \((x-\color{red}{5})^2+(y\color{red}{+}\color{blue}{3})^2=25\)

Answer 8

a=5 and b=-3 in your case

Answer 9

since we have y+3
that means y-(-3)
that's b=-3
so the center is (5,-3)

Answer 10

ohh got it thnx

Answer 11

welcome!
try finiding the center of this circle \(x^2+(y-2)^2=36\)