taynaylikedic taynaylikedic
  • 07-04-2022
  • Mathematics
contestada

Given A= (-3,6) and B=(10,-8) what is the length of AB

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loneguy
loneguy loneguy
  • 07-04-2022

[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]

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