Question

Find the coordinates of the center of the given circle.(x - 5)2 + (y + 3)2 = 25

Answer 1

for
\(\Large (x-h)^2+(y-k)^2 = r^2\)
the center is (h,k)

Answer 2

so how about your equation ?
\((x - 5)^2 + (y + 3)^2 = 25\)
what are h and k values ?

Answer 3

5 and 3

Answer 4

actually
when we compare
y- k with y+3
we get
k = -3
makes sense ?

Answer 5

so your center is just (5,-3) !

Answer 6

and for radius, if asked,
r^2 = 25 gives r= radius = 5 :)

Answer 7

thank you so much :-)

Answer 8

welcome ^_^
since you're new here,
\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)