Question

HELP ASAP!! A truck starts from a warehouse, which is 8 miles south and 3 miles west of the town center. The truck travels 3 miles north, makes a right turn, and then travels for 4 miles. What is the truck’s final position? What single translation vector moves the truck from its starting position to its final position?

Answer 1

1, −5); (4, 3)

Explanation:

The starting point coordinates and the changes in x or y of each movement are given.

Draw the given information in the coordinate plane to better visualize it. The truck starting coordinates are (−3, −8).

To find the vector that gives the translation (−3, −8)→(1, −5), subtract the x and y coordinates of the starting point from the x and y coordinates of the end point. The vector is: ⟨1 − (−3), −5 − (−8)⟩ = ⟨4,3⟩.

Therefore, the truck’s final position is (1, −5) and ⟨4, 3⟩ is the single translation vector that moves the truck from its starting position to its final position.

Answer 2

The answer, I think, is (1, -5);(4,3).