Q 21 - Calculus

Question

To find the distance between the points (-2, 3) and (5, -6).

Step-by-Step Solution

Answer

The required distance is $\sqrt{130}$.

Given information

Given two points (-2, 3) and (5, -6).

Finding the distance

The distance between given two points as per formula:

$\sqrt{(5-{(-2))}^2+(-{6-3)}^2}$

Simplify:

$\sqrt{{\left(7\right)}^2+(-{9)}^2}$

Simplify further:

$\sqrt{130}$