kynzliendarden kynzliendarden
  • 03-02-2020
  • Mathematics
contestada

The coordinates of AB are A(-4,4) and B(2,1) which measurement is closest to the length of AB units

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sam4040
sam4040 sam4040
  • 09-02-2020

Answer:

[tex]AB\approx 6.7\ units[/tex]

Step-by-step explanation:

Distance between two points: Distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex]

[tex]A(-4,4)\ and\ B(2,1)\\\\AB=\sqrt{(1-4)^2+(2+4)^2}\\\\AB=\sqrt{(-3)^2+(6)^2}\\\\AB=\sqrt{45}\\\\AB=3\sqrt{5}\\\\AB\approx 6.7\ units[/tex]

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