Question

Find the distance between the points (4.7,0.5) and (0.2,-1.2)
Distance =
Give the approximate distance, rounded to three decimal places.

Answer 1

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{4.7}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{0.2}~,~\stackrel{y_2}{-1.2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(0.2-4.7)^2+(-1.2-0.5)^2}\implies d=\sqrt{(-4.5)^2 + (-1.7)^2} \\\\\\ d=\sqrt{20.25 + 2.89}\implies d=\sqrt{23.14}\implies d\approx 4.810$