Question

PLEASE HELPPPPPPPP!!!!​

Answer 1

See below ~

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