admireandinspire01 admireandinspire01
  • 02-06-2022
  • Mathematics
contestada

What is the distance between the points (-4,-8) and (6,16), to the nearest tenth of a units?
A. 8.2 units
B.676.0 units
C.21.8 units
D.26.0 units

Respuesta :

profarouk profarouk
  • 02-06-2022

Answer:

D.26.0 units

Step-by-step explanation:

Given : the points A(-4,-8) and B(6,16),

Let d be the distance between A and B.

Then

[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]

  [tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]

  [tex]=\sqrt{676 }[/tex]

  [tex]=26[/tex]

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