Respuesta :

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...

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