Question

the surry county sheriffs patrol route starts in coby. the composition of rigid motions t(-20,10) o t(40, -50) describes her route. describe the sheriffs route in words. the sheriff drives miles and miles and miles to . (type whole numbers.)

Explanation:

Step1: Identify starting and ending points

The starting - point is Coby. The transformation \(T(- 20,10)\circ T(40,-50)\) needs to be applied step - by - step.

Step2: First translation \(T(40,-50)\)

This translation moves a point 40 units to the right and 50 units down.

Step3: Second translation \(T(-20,10)\)

This translation moves a point 20 units to the left and 10 units up after the first translation.

Step4: Analyze the route

Starting from Coby, the first translation \(T(40,-50)\) moves the sheriff in a direction that can be described as moving right and down on the grid. Then the second translation \(T(-20,10)\) moves the sheriff left and up.

Answer:

The sheriff drives 40 miles right and 50 miles down from Coby to an intermediate point. Then she drives 20 miles left and 10 miles up to the final destination.