porquebestfriend porquebestfriend
  • 04-03-2021
  • Mathematics
contestada

what is the distance between (0, -2) and (9, 10) ? please show your work so i can understand thank you

Respuesta :

erinna erinna
  • 09-03-2021

Given:

The two points are (0, -2) and (9, 10).

To find:

The distance between the given points.

Solution:

Distance between the two points is

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

Using the above distance formula, the distance between given points is

[tex]d=\sqrt{(9-0)^2+(10-(-2))^2}[/tex]

[tex]d=\sqrt{(9)^2+(10+2)^2}[/tex]

[tex]d=\sqrt{81+(12)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{81+144}[/tex]

[tex]d=\sqrt{225}[/tex]

[tex]d=15[/tex]

Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.

Answer Link

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