156k views
2 votes
Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.

User Wbadry
by
7.0k points

1 Answer

7 votes

Answer:

33.38 km

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


\sqrt{(- 2 - 3)^(2) + (5 - (-1))^(2)} = √(61) km.

Again, the distance from point (3,-1) and (-6,-5) point will be


\sqrt{(3 - (- 5))^(2) + (- 1 - (- 5))^(2)} = √(80) km.

Therefore, the total distance Kim traveled will be =
2(√(61) + √(80)) = 33.38 Km. (Answer)

The distance between two points
(x_(1),y_(1)) and
(x_(2),y_(2)) on the coordinate plane is given by


\sqrt{(x_(1) - x_(2))^(2) + (y_(1) - y_(2))^(2)}

User Saeed Arash
by
7.5k points