Respuesta :

Answer:

  • The center is (-1, 5) and radius is 9

Step-by-step explanation:

Given function

  • x² + 2x + y² = 55 + 10y

Put the equation into standard form:

  • (x - h)² + (y - k)² = r², where (h, k) is the center, r- radius

Compete square for both x and y:

  • x² + 2x + y² = 55 + 10y
  • x² + 2x + 1 + y² - 10y + 25 = 81
  • (x + 1)² + (y - 5)² = 9²

The center is (-1, 5) and radius is 9

The graph is attached

Ver imagen mhanifa