Answer:
33.38 km
Step-by-step explanation:
Kim drove from Math Town at (-2, 5) to Geometry Ville at (3, -1) to Algebra Springs at (-6, -5), and then back to Math town.
Now, the distance from (-2,5) point to (3,-1) point will be
[tex]\sqrt{(- 2 - 3)^{2} + (5 - (-1))^{2}} = \sqrt{61}[/tex] km.
Again, the distance from point (3,-1) and (-6,-5) point will be
[tex]\sqrt{(3 - (- 5))^{2} + (- 1 - (- 5))^{2}} = \sqrt{80}[/tex] km.
Therefore, the total distance Kim traveled will be = [tex]2(\sqrt{61} + \sqrt{80}) = 33.38[/tex] Km. (Answer)
The distance between two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] on the coordinate plane is given by
[tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}[/tex]
