janeowoh28
janeowoh28 janeowoh28
  • 24-05-2020
  • Mathematics
contestada

Write the equation in standard form and then find the center (h, k) and
x^2+8x+ y2 + 4y - 5= 0

Respuesta :

PollyP52 PollyP52
  • 24-05-2020

Answer:

Center is at (-4, -2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5= 0  

Completing the square:

(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5

(x + 4)^2 + (y + 2)^2  = 5 + 16 + 4

(x + 4)^2 + (y + 2)^2  = 25

(x - h)^2 + (y - k)^2 = r^2     Comparing:-

The center is at (-4, -2) and the radius = 5.

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