Question

Find the distance between (5,14) and (-3,-9)

Answer 1

Answer:

The answer is

$\sqrt{593} \: \: or \: \: 24.35 \: \: \: units$

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

(5,14) and (-3,-9)

The distance is

$d = \sqrt{ ({5 + 3})^{2} + ({14 + 9})^{2} } \\ = \sqrt{ {8}^{2} + {23}^{2} } \\ = \sqrt{64 + 529} \\ = \sqrt{593} \: \: \: \: \: \: \: \: \: \: \\ = 24.3515913$

We have the final answer as

$\sqrt{593} \: \: or \: \: 24.35 \: \: \: units$

Hope this helps you