Question

What is the distance between the points? * T(2,-2) W(4,5)

Answer 1

Answer:

The answer is

$\sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units$

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

T(2,-2) , W(4,5)

The distance between them is

$|TW| = \sqrt{ ({2 - 4})^{2} + ({ - 2 - 5})^{2} } \\ = \sqrt{( { - 2})^{2} + ( { - 7})^{2} } \\ = \sqrt{4 + 49} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \\ = 7.2801...$

We have the final answer as

$\sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units$

Hope this helps you