What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

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asked Sep 23, 2018 144k views

1 Answer

Meshach · Answer 1 · 2018-09-28T04:37:37+0000

complete the square .

x^2-14x = (x-7)^2-(-7)^2
= (x-7)^2-49
y^2+10y = (x+5)^2-(5)^2
=(x+5)^2-25
(x-7)^2+(y+5)^2-49-25=250
(x-7)^2+(y+5)^2=324
=sqrt 324
=18

What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

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