Answer:
The answer is
[tex]\sqrt{85} \: \: \: or \: \: 9.21 \: \: \: \: \: 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
S(-4, -2) and T(3, 4)
The distance between them is
[tex] |ST| = \sqrt{ ({ - 4 - 3})^{2} + ({ - 2 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + ({ - 6})^{2} } \\ = \sqrt{49 + 36} \\ = \sqrt{85} \: \: \: \: \: \: \: \: \: \: \\ = 9.21954...[/tex]
We have the final answer as
[tex] \sqrt{85} \: \: \: or \: \: 9.21 \: \: \: \: \: units[/tex]
Hope this helps you
