6s74fbsm67 6s74fbsm67
  • 23-03-2022
  • Mathematics
contestada

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2,-6)

Respuesta :

semsee45
semsee45 semsee45
  • 23-03-2022

Answer:

10

Step-by-step explanation:

Distance formula:

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

Let [tex](x_1,y_1)[/tex] = (-4, 2)

Let [tex](x_2,y_2)[/tex] = (2, -6)

Substituting given points into the formula:

[tex]\implies d=\sqrt{(2-(-4))^2+(-6-2)^2}[/tex]

[tex]\implies d=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]\implies d=\sqrt{36+64}[/tex]

[tex]\implies d=\sqrt{100}[/tex]

[tex]\implies d=10[/tex]

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