Question

distance formula, d=(×2-×1)2+(y2-y1)2, what is the distance between point (8 4) and point (3,2) rounded to the nearest tenth

Answer 1

Distance between point (8 4) and point (3,2)

$\begin{gathered} \text{distance betw}en\text{ two points is given by the formula} \\ d=\sqrt[]{(x_2-x_1)2+(y_2-y_1)}^2 \\ x_1=8,y_1=4 \\ x_2=3,y_2=2 \\ \end{gathered}$$\begin{gathered} d=\sqrt[]{(3-8)^2+(2-4)^2} \\ d=\sqrt[]{(-5)^2+(-2)^2} \\ d=\sqrt[]{25+4} \\ d\text{ =}\sqrt[]{29} \\ d=5.385 \\ d\approx5.4(\text{nearest tenth)} \end{gathered}$