baohewang2005 baohewang2005
  • 12-06-2021
  • Mathematics
contestada

Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth.

Respuesta :

Leora03
Leora03 Leora03
  • 12-06-2021

Answer:

6.4 units (nearest tenth)

Step-by-step explanation:

Distance between 2 points

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

Distance between A and B

[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]

[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]

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

[tex] = \sqrt{41} [/tex]

= 6.4 units (nearest tenth)

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