Mr. Torrey draws and labels a figure, as shown below. He asks a group of students to each write an expression that is equivalent to the perimeter of the figure in terms of the given side lengths. Clockwise from the top, the figure reads, 5 r, 2 s, 3 r, 2 s, 5 r, 2 s, 3 r, 2 s.

The students’ expressions are shown below.

Brian: $8\left(2r\ +\ s\right)$
Marissa: $2\left(4r\right)\ +\ 2\left(4s\right)$
Clara: $2\left(5r\ +\ 3r\right)\ +\ 4\left(2s\right)$
Alex: $24\ \times\ r\ \times\ s$

Part A
Which expressions are equivalent to the perimeter of the figure? List all of the correct expressions. Show how you know the correct expressions are equivalent to each other.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

fghrtyhrtsyut jyt u6su

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.