Respuesta :

Answer:

The distance between the given points (2,10) and (-6, 4) on the coordinate  plane is 10units

Therefore distance s=10 units

Step-by-step explanation:

Given points are (2,10) and (-6, 4) on the coordinate plane

To distance between the given points :

The distance formula is [tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] units

Let [tex](x_1,y_1)[/tex] ,[tex](x_2,y_2)[/tex] be the given points (2,10) and (-6, 4) respectively

Now substituting the values in the distance formula  we get

[tex]s=\sqrt{(-6-2)^2+(4-10)^2}[/tex]

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

[tex]=\sqrt{8^2+6^2}[/tex]

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

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

[tex]=10[/tex]

Therefore s=10 units

The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units

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