Question

Find the distance between the points (5, -5) and (-7,4).
Write your answer as a whole number or a fully simplified radical expression
units
Submit

Answer 1

Answer:

The answer is 15 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, -5) and (-7,4)

The distance between them is

$d = \sqrt{ ({5 + 7})^{2} + ({ - 5 - 4})^{2} } \\ = \sqrt{ {12}^{2} + ( { - 9})^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15 \: \: \: \: \: \:$

We have the final answer as

15 units

Hope this helps you