Answer:
The answer is 10 units
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
F (5,5) , G (−3,−1)
The distance between them is
[tex] |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
10 units
Hope this helps you
