Answer:
The answer is
[tex]\sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
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
[tex] |TW| = \sqrt{ ({2 - 4})^{2} + ({ - 2 - 5})^{2} } \\ = \sqrt{( { - 2})^{2} + ( { - 7})^{2} } \\ = \sqrt{4 + 49} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \\ = 7.2801...[/tex]
We have the final answer as
[tex] \sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units[/tex]
Hope this helps you
