Answer:
The answer is
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: 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
C(-3,-1), Q(-2,3)
The distance between them is
[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]
We have the final answer as
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]
Hope this helps you
