Question

Kelvin is at his house located at (3,4) on a coordinate plane and walks to the store located at (1,0). The store is located exactly half way between kelvin's house and mitch's house. to the nearest tenth, What is the distance between Kelvin's house and Mitch's house
A. 4.2
B.4.5
C.5.7
D.8.9

Answer 1

find the distance between (3,4) and (1,0) and the you'd get how far is it from Kevin's house to the store

to Mitch's house is twice that long

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad &({\color{red}{ 1}}\quad ,&{\color{blue}{ 0}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)