Answer:
The answer is
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
B (4, 6) and K (–6, –2)
The distance is
[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]
We have the final answer as
Hope this helps you
