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Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 + (y – 5)2 = 6 (x – 3)2 + (y – 5)2 = 36 (x + 3)2 + (y + 5)2 = 6 (x + 3)2 + (y + 5)2 = 36

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Answer:

D. is the answer

The equation that represents a circle with a center at (–3, –5) and a radius of 6 units is given by:

[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, we have that:

  • The center has [tex]x_0 = -3, y_0 = -5[/tex].
  • The radius is r = 6.

Hence:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x + 3)^2 + (y + 5)^2 = 36[/tex]

More can be learned about the equation of a circle at https://brainly.com/question/24307696