SOLUTION: Write the standard equation for each circle. Find the radius and give the coordinates for the center. {{{ 5x^2 + 5y^2 - 125 = 0 }}} and {{{ x^2 + y^2 - 14x + 8y + 1 = 0 }}

Algebra ->  Test -> SOLUTION: Write the standard equation for each circle. Find the radius and give the coordinates for the center. {{{ 5x^2 + 5y^2 - 125 = 0 }}} and {{{ x^2 + y^2 - 14x + 8y + 1 = 0 }}      Log On


   



Question 141395: Write the standard equation for each circle. Find the radius and give the coordinates for the center.
+5x%5E2+%2B+5y%5E2+-+125+=+0+
and
+x%5E2+%2B+y%5E2+-+14x+%2B+8y+%2B+1+=+0+

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
dividing by 5 __ x^2+y^2-25=0 __ adding 25 __ x^2+y^2=25 __ (0,0); r=5


completing the squares __ x^2-14x+49+y^2+8y+16+1=49+16

subtracting 1 __ (x-7)^2+(y+4)^2=64 __ (7,-4); r=8