Question

What is the distance between points D and H?

round to the nearest 10th of a unit.

3.7 units
5.2 units
7.3 units
9.4 units

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ D(\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad H(\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ DH=√((1-9)^2+(3-8)^2)\implies DH=√((-8)^2+(-5)^2) \\\\\\ DH=√(64+25)\implies DH=√(89)\implies DH\approx 9.4`