maldonadoamr11 maldonadoamr11

02-06-2020
Mathematics

contestada

x2 + y2 + 10x + 12y + 25 = 0
What is the center of this circle ?
What is the radius of this circle ?
units

x2 y2 10x 12y 25 0 What is the center of this circle What is the radius of this circle units class=

Respuesta :

SvetkaChem SvetkaChem

02-06-2020

Answer:

Center (- 5, - 6)

Radius 6 units

Step-by-step explanation:

x² + 10x + y² + 12y + 25 = 0

x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0

(x + 5)² + (y + 6)² - 6² = 0

(x + 5)² + (y + 6)² = 6²

Center (- 5, - 6)

Radius 6 units

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1st Equation 2nd Equation 3rd Equation 2+ 3 = 5 9 + (-1) = 8 11 to x = 7 3 + 2 = 5 8+1=9 5-3 = 2 1-(-8)=9 5- 2 + 3 8-9=1