# Question #d5344

Jan 10, 2017

6.4 rounded to the nearest tenth

#### Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{\left(\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}\right)}^{2} + {\left(\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}\right)}^{2}}$

Substituting the numbers from the two points gives:

$d = \sqrt{{\left(\textcolor{red}{6} - \textcolor{b l u e}{2}\right)}^{2} + {\left(\textcolor{red}{8} - \textcolor{b l u e}{3}\right)}^{2}}$

$d = \sqrt{{\left(4\right)}^{2} + {\left(5\right)}^{2}}$

$d = \sqrt{16 + 25}$

$d = \sqrt{41}$

$d = 6.4$ rounded to the nearest tenth