What is the radius of a circle whose equation is (x + 5) 2 + (-3) 2 = 42?

2 units

4 units

U8 units

16 units

4 units

Step-by-step explanation:

We assume you intend your equation to be ...

(x + 5) ^2 + (y - 3) ^2 = 4^2

Comparing this to the standard form equation of a circle, ...

(x - h) ^2 + (y - k) ^2 = r^2

we find your circle has (h, k) = (-5, 3) and r = 4.

In this equation, r represents the radius of the circle.

The radius is 4 units.