On a coordinate grid, point M is at (−8, 2) and point S is at (10, 2). The distance (in units) between points M and S is ______. (Input only whole numbers, such as 2.)

Respuesta :

Given:

On a coordinate grid, point M is at (-8,2) and point S is at (10,2).

We need to determine the distance between the points M and S.

Distance between the point M and S:

The distance between the points M and S can be determined using the formula,

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

Substituting the points (-8,2) and (10,2) in the above formula, we get;

[tex]d=\sqrt{(10+8)^2+(2-2)^2}[/tex]

Simplifying, we have;

[tex]d=\sqrt{(18)^2+(0)^2}[/tex]

[tex]d=\sqrt{324}[/tex]

Taking square root, we get;

[tex]d=18[/tex]

Thus, the distance between the points M and S is 18 units.

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