Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given equation:

  • x² + y² + 8x - 4y - 7 = 0

Convert this to standard form by completing the square:

  • (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
  • x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
  • (x + 4)² + (y - 2)² - 27 = 0
  • (x + 4)² + (y - 2)² = 27
  • (x + 4)² + (y - 2)² = (√27)²

The center is (- 4, 2) and the radius is √27

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