Question

what is the distance of (12,-7) and (-3,-12)

Answer 1

The distance between two coordinate points is given as;

$\begin{gathered} D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}$$\begin{gathered} \text{Where x}_1=12; \\ x_2=-3; \\ y_1=-7; \\ y_2=-12 \end{gathered}$$\begin{gathered} D=\sqrt[]{(-3-12)^2+(-12-(-7))^2} \\ D=\sqrt[]{(-15)^2+(-5)^2} \\ D=\sqrt[]{225+25} \\ D=\sqrt[]{250} \end{gathered}$

Then, the distance is;

$\begin{gathered} D=\pm15.81 \\ \text{But distance cannot be measure in negatice, so;} \\ D=15.81 \end{gathered}$