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

Solution:

Given, the points are M (6, 16) and Z (-1, 14)

We have to find the distance between the points to the nearest tenth.

The distance formula is given by

\(d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

Here, x₁ = 6, x₂ = -1, y₁ = 16 and y₂ = 14

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

\(d=\sqrt{(-7)^{2}+(-2)^{2}}\)

\(d=\sqrt{49+4}\)

d = √53

d = 7.28

d = 7.3 ( nearest tenth)

Therefore, the required distance between the given points is 7.3.

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

Summary:

The distance between points M (6, 16) and Z (-1, 14) to the nearest tenth is 7.3