Answer:
[tex]\sqrt{113}[/tex]
Step-by-step explanation:
To find the distance, we first do B - A:
(7, -2) - (0, 6) = (7 - 0, -2-6) = (7, -8)
Imagine it as a triangle, where the hypotenuse is the distance, and 7 and -8 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem): [tex]\sqrt{7^2+(-8)^2}[/tex] = [tex]\sqrt{49+64} =\sqrt{113}[/tex]
The answer is the square root of 113.
