Answer:
The answer is
[tex]\sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: 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
L(7,-1) and M(-2, 4)
The distance between them is
[tex] |LM| = \sqrt{ ({7 + 2})^{2} + ( { - 1 - 4})^{2} } \\ = \sqrt{ {9}^{2} + ({ - 5})^{2} } \\ = \sqrt{81 + 25} \\ = \sqrt{106} \: \: \: \: \: \: \: \\ = 10.29563014...[/tex]
We have the final answer as
[tex] \sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: units[/tex]
Hope this helps you
