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Question

Part 1
The composition of rigid motions Upper T Subscript left angle 23 comma 3 right angleT23,3circle◦Upper T Subscript left angle negative 17 comma negative 7 right angleT−17,−7 describes the route of a limousine in a city from its starting position. Describe the route in words. Assume that the positive​ y-axis points north.
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Part 1
First the limousine drives enter your response here ​block(s)
▼
west
east
and enter your response here ​block(s)
▼
north,
south,
and then it drives enter your response here ​block(s)
▼
west
east
and enter your response here ​block(s)
▼
south.
north.
​(Type whole​ numbers.)

Answer 1

To describe the route of the limousine and the rigid motions represented by the transformations \( T_{23,3} \) and \( T_{-17,-7} \):

1. The transformation \( T_{23,3} \) indicates that the limousine moves 23 blocks to the east (as it is positive in the x-direction) and 3 blocks to the north (as it is positive in the y-direction).
2. The transformation \( T_{-17,-7} \) indicates that the limousine then moves 17 blocks to the west (since it is negative in the x-direction) and 7 blocks to the south (as it is negative in the y-direction).

Now, we can summarize the route in words:

First, the limousine drives 23 blocks east and 3 blocks north, and then it drives 17 blocks west and 7 blocks south.