boop21
boop21 boop21
  • 21-08-2018
  • Mathematics
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find the distance between each pair of points.

find the distance between each pair of points class=

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gmany
gmany gmany
  • 21-08-2018

The formula of a distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

[tex](7,\ 2);\ (8,\ -3)\\\\d=\sqrt{(8-7)^2+(-3-2)^2}=\sqrt{1^2+(-5)^2}=\sqrt{1+25}=\sqrt{26}[/tex]

[tex](0,\ 5);\ (-7,\ 0)\\\\d=\sqrt{(-7-0)^2+(0-5)^2}=\sqrt{(-7)^2+(-5)^2}=\sqrt{49+25}=\sqrt{74}[/tex]

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