Question

the composition of rigid motions $t_{\langle - 14,- 8\
angle}\circ t_{\langle13,5\
angle}$ 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. first the limousine drives block(s) and block(s) and then it drives block(s) and block(s) (type whole numbers.)

Explanation:

Step1: Understand translation notation

In the notation $T_{(a,b)}$, $a$ represents the horizontal displacement and $b$ represents the vertical displacement. For $T_{(13,5)}$, the limousine first moves. The $x -$ coordinate $13$ means 13 blocks to the right (since positive $x$ - direction is usually right - hand side) and the $y -$ coordinate 5 means 5 blocks north (as positive $y$ points north).

Step2: Analyze the second translation

For $T_{(- 14,-8)}$, the $x$-coordinate - 14 means 14 blocks to the left and the $y$-coordinate - 8 means 8 blocks south.

Answer:

First the limousine drives 13 block(s) east and 5 block(s) north and then it drives 14 block(s) west and 8 block(s) south.