julietttl
julietttl julietttl
  • 01-10-2020
  • Mathematics
contestada

1
Consider the graph shown below.

Find the distance between (16, 0) and (0, 12).

1 Consider the graph shown below Find the distance between 16 0 and 0 12 class=

Respuesta :

gmany
gmany gmany
  • 01-10-2020

Answer:

20

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x,\ y_1);\ B(x_2,\ y_2)\\\\AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute (16, 0) and (0, 12):

[tex]d=\sqrt{(0-16)^2+(12-0)^2}=\sqrt{(-16)^2+12^2}=\sqrt{256+144}=\sqrt{400}=20[/tex]

You can use the Pythagorean theorem.

Look at the picture.

[tex]d^2=16^2+12^2\\\\d^2=256+144\\\\d^2=400\to d=\sqrt{400}\\\\d=20[/tex]

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