Question

Find the distance between the points (4,-9) and (-6,-10)

Answer 1

Answer:

The answer is

$\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units$

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

(4,-9) and (-6,-10)

The distance between them is

$d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...$

We have the final answer as

$\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units$

Hope this helps you