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].
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
