Find the distance between points p(8, 2) and q(3, 8) to the nearest tenth.

Solution:

Given, the points are p (8, 2) and q (3, 8)

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 = 8, x₂ = 3, y₁ = 2 and y₂ = 8

\(d=\sqrt{(3-8)^{2}+(8-2)^{2}}\)

\(d=\sqrt{(-5)^{2}+(6)^{2}}\)

\(d=\sqrt{25+36}\)

d = √61

d = 7.81

d = 7.9 ( nearest tenth)

Therefore, the required distance between the given points is 7.9.

Find the distance between points p(8, 2) and q(3, 8) to the nearest tenth.

Summary:

The distance between points p (8, 2) and q (3, 8) to the nearest tenth is 7.9