Question

"ve 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.

A.16.55
B.27.83
C.28.43
D.274

Answer 1

To determine the total distance traveled, use the distance formula for each leg of the journey between the given points, then sum those distances and round the result to the nearest hundredth.

Step-by-step explanation:

The question requires calculating the total distance traveled by Kim through multiple points. To find the distance between two points, we use the distance formula: the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates. We apply this to each leg of Kim’s journey and sum up these distances.

1. Calculate the distance from Mathtown (-2, 5) to Geometryville (3, -1):
   √[(3 - (-2))^2 + ((-1) - 5)^2]
2. Calculate the distance from Geometryville (3, -1) to Algebra Springs (-6, -5):
   √[(-6 - 3)^2 + ((-5) - (-1))^2]
3. Calculate the distance from Algebra Springs (-6, -5) to Mathtown (-2, 5):
   √[(-2 - (-6))^2 + (5 - (-5))^2]
4. Sum up the calculated distances to get the total distance traveled

After performing these calculations and adding the distances, round the sum to the nearest hundredth to match the answer choices provided.