Step-by-step explanation:
Hey there!!
The given points are A(2,9) and B(-16,71).
We simply use distance formula to find it.
[tex]distance \: of \: ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Putting their values,
[tex]ab = \sqrt{ {( - 16 - 2)}^{2} + {(71 - 9)}^{2} } [/tex]
simplify them.
[tex]ab = \sqrt{324 + 3844} [/tex]
[tex]ab = \sqrt{4168} [/tex]
Therefore, the distance between AB points is 64.56 units.
Hope it helps...