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  • 01-11-2019
  • Mathematics
contestada

If point A is located at (0, -8) and B is located at (4,-5), what is the distance between them?
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CPED
CPED CPED
  • 01-11-2019

Answer:

Distance between A and B is 13.06 units(m)

Step-by-step explanation:

We know that distance formula is:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Now we have to find distance between A and B: d(AB)

Given that:

A has coordinates (x1 , y1): (0, -8)

B has coordinates(x2 , y2): (4,-5)

By Applying given formula:

d(AB) = [tex]\sqrt{(4-0)^2 + (-5-8)^2}[/tex]

d(AB) = [tex]\sqrt{(4)^2+(-13)^2}[/tex]

d(AB)  = [tex]\sqrt{16 + 169 } \\\sqrt{185}[/tex]

d(AB) = 13.60 units

I hope it will help you!

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