Question

A coordinate grid is placed over a map and every unit represents 1 mi.

The point at (3, 8) represents the location of the baseball stadium and the point at (7, –2) represents the location of the post office.

To the nearest tenth of a mile, what is the distance between the baseball stadium and the post office?

_________ mi

Answer 1

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 8}})\quad
% (c,d)
&({\color{red}{ 7}}\quad ,&{\color{blue}{ -2}})
\end{array}\qquad
% distance value
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)