Answer:
The answer is
[tex] \sqrt{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 the points are
J( – 8,0) and K(1, 4)
The distance between them is
[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]
We have the final answer as
[tex] \sqrt{97} \: \: \: units[/tex]
Hope this helps you