How do you find the distance, to the nearest ten from T(7,-1) to W(-2, 6)?

Jan 12, 2017

Use the distance formula to solve this problem. See full process below:

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 two points from the problem gives:

$d = \sqrt{{\left(\textcolor{red}{- 2} - \textcolor{b l u e}{7}\right)}^{2} + {\left(\textcolor{red}{6} - \textcolor{b l u e}{- 1}\right)}^{2}}$

$d = \sqrt{{\left(\textcolor{red}{- 2} - \textcolor{b l u e}{7}\right)}^{2} + {\left(\textcolor{red}{6} + \textcolor{b l u e}{1}\right)}^{2}}$

$d = \sqrt{{\left(- 9\right)}^{2} + {\left(7\right)}^{2}}$

$d = \sqrt{81 + 49}$

$d = \sqrt{130}$

$d = 11.4$