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Find the distance between points M(6, 16) and Z(-1,14) to the nearest tenth.

Respuesta :

Given:

The points are M(6,16) and Z(-1,14).

To find:

The distance between given points.

Solution:

Distance formula:

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

So, the distance between two points M(6,16) and Z(-1,14) is

[tex]d=\sqrt{(-1-6)^2+(14-16)^2}[/tex]

[tex]d=\sqrt{(-7)^2+(-2)^2}[/tex]

[tex]d=\sqrt{49+4}[/tex]

[tex]d=\sqrt{53}[/tex]

[tex]d=7.28011[/tex]

[tex]d\approx 7.3[/tex]

Therefore, the distance between given points is 7.3 units.