Princessmicendie Princessmicendie
  • 03-02-2020
  • Mathematics
contestada

Find the distance between the points ( – 9, – 4) and ( – 4,8).

Respuesta :

sam4040
sam4040 sam4040
  • 10-02-2020

Answer:

[tex]Distance=13\ units[/tex]

Step-by-step explanation:

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

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

Distance between [tex](-9,-4)\ and\ (-4,8).[/tex]

[tex]d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13[/tex]

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