Question

10) Find the distance between (2, 3) and (-3, -2) A) 2 B) 5 C) 50 = 5 2 D) 25

Answer 1

Answer:

The answer is

$5 \sqrt{2} \: \: \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, 3) and (-3, -2)

The distance between them is

$d = \sqrt{( {2 + 3})^{2} + ({3 + 2})^{2} } \\ = \sqrt{ {5}^{2} + {5}^{2} } \\ = \sqrt{25 + 25} \\ = \sqrt{50} \\ = 5 \sqrt{2}$

We have the final answer as

$5 \sqrt{2} \: \: \: \: units$

Hope this helps you