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Please Help!!

(09.04 MC)
Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 −2x + y2 − 6y = 26 (10 points)

and please answer the question as thoroughly as you can. Thank you!

Respuesta :

mhanifa

Answer:

  • (1, 3) - center, 6 - radius

Step-by-step explanation:

Equation of the circle:

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

Given:

  • x² - 2x + y² - 6y = 26

Convert the given by completing square:

  • x² - 2x + 1 + y² - 6y + 9 = 26 + 1 + 9
  • (x - 1)² + (y - 3)² = 36
  • (x - 1)² + (y - 3)² = 6²

The center is (1, 3) and radius is 6 units.