Respuesta :

Answer:

See below ~

Step-by-step explanation:

1.

  • x² + y² + 14x - 2y = -1
  • [x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1
  • (x + 7)² + (y - 1)² = 49
  • Centre = (x, y) = (-7, 1)
  • Radius = √49 = 7

2.

  • x² + y² - 10x + 8y - 8 = 0
  • [x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0
  • (x - 5)² + (y + 4)² = 49
  • Centre = (x, y) = (5, -4)
  • Radius = √49 = 7

3.

  • Points are : (-2, 1) and (4, 3)
  • D = √(4 + 2)² + (3 - 1)²
  • D = √36 + 4
  • D = √40
  • D = 2√10

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