Exam 1

Question
What is the distance between the two points
$p=(3,4)$ and
$q=(5,2)$
in a Cartesian coordinate system?
Solution
The distance
$d$ of
$p$ and
$q$ is given by
${d}^{2}=({p}_{1}{q}_{1}{)}^{2}+({p}_{2}{q}_{2}{)}^{2}$ (Pythagorean formula).
Hence
$d=\sqrt{({p}_{1}{q}_{1}{)}^{2}+({p}_{2}{q}_{2}{)}^{2}}=\sqrt{(35{)}^{2}+(42{)}^{2}}=2.828$.