Answer 45^(1/2)
Step-by-step explanation:
Use the pythagorean theorem to calculate the distance of the hypotenuse formed by the two siz=des that can be calculated from the given 2 points. X is 3: (-2 -(-5)) = 3
y is 6: (9-3) = 6
We want the hypotenuse: z^2 = x^2 + y^2
z^2 = 9 + 36
z = [tex]\sqrt45}[/tex]
It asks for the exact answer, so 45^(1/2) sems to be the only way to express this.
