Question

what is the distance (in units) between points C and D? Round your answer to the nearest hundredth. 3.00 units 3.46 units 4.24 units 6.00 units

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{3}~,~\stackrel{y_2}{1})\qquad \qquad % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CD=\sqrt{(3-0)^2+(1-4)^2}\implies CD=\sqrt{3^2+(-3)^2} \\\\\\ CD=\sqrt{18}\implies CD=\sqrt{2\cdot 9}\implies CD=\sqrt{2\cdot 3^2}\implies CD=3\sqrt{2}$