Respuesta :
Answer:
The answer is
[tex]6 \sqrt{10} \: \: \: or \: \: \: 18.97 \: \: \: \: 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
(1, 10) and(-5, -8)
The distance is
[tex]d = \sqrt{ ( {1 + 5})^{2} + ({10 + 8})^{2} } \\ = \sqrt{ {6}^{2} + {18}^{2} } \\ = \sqrt{36 + 324} \\ = \sqrt{360} \\ = 6 \sqrt{10} \\ = 18.9736659[/tex]
We have the final answer as
[tex]6 \sqrt{10} \: \: \: or \: \: \: 18.97 \: \: \: \: units[/tex]
Hope this helps you