A car starts from an office building, which is 5 miles east and 2 miles south of the town center. The car travels 6 miles north, makes a left turn and then travels 8 miles. What is the car's final position? What single translation vector moves the car from its starting position to its final position?

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Answer:

(−3, 4); (−8, 6)

The final position of the car is at (1, -10). The single translation vector that shows how the car moves from its starting position to its final position is (x, y) ⇒ (x + 6, y - 8)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A car starts from an office building, which is 5 miles east and 2 miles south (-5, -2) of the town center. The car travels 6 miles north, makes a left turn and then travels 8 miles.

The final position of the car is at (1, -10). The single translation vector that shows how the car moves from its starting position to its final position is (x, y) ⇒ (x + 6, y - 8)

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