Estefanidisz4321
Estefanidisz4321 Estefanidisz4321
  • 22-04-2021
  • Mathematics
contestada

x2 + y2 -2x + 24y +120 = 0
Find the center and radius of this circle by converting it to (x-h)2 + (y-k)2 =r2

x2 y2 2x 24y 120 0 Find the center and radius of this circle by converting it to xh2 yk2 r2 class=

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gayanepoghosyan
gayanepoghosyan gayanepoghosyan
  • 22-04-2021

Answer:

r=5  O(1;-12)

Step-by-step explanation:

x² + y² -2x + 24y +120 = 0

⇒ x²-2x+1+ y²+ 24y+144-145+120 = 0

⇒ (x-1)²+ (y+12)²=25   and    (x-h)² + (y-k)² =r²

so, h=1          k=-12       r=√25=5

center is O(h;k)   O(1;-12)

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