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Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:

In which n(s) are those who are succeful but not freshmen and
are those who are succesful and freshmen.
By the same logic, we also have that:

The union is:

In which



So



So the correct answer is:
b) 24
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
<u>Remove the brackets</u>
That's
9m + 3n - 11 + m + 4n - 3
<u>Group like terms</u>
9m + m + 3n + 4n - 11 - 3
The final answer is
<h3>
10m + 7n - 14</h3>
Hope this helps you
Question 1: C, x < -8 <---
Question 2: A, n>= -4
Since the figure is a parallelogram, then SP=RQ, and SR=PQ.
To find SR, we draw right triangle SAR, as shown in the picture, where the coordinates of A are clearly (-3, -2).
Thus, we can see that SA=4 units, and AR=4 units. By the Pythagorean theorem,
Similarly, to find SP, which is equal to QR, we draw the triangle PBS, where the coordinates of B are (-2, 2).
Clearly, PB=3 and SB=1, thus using the Pythagorean theorem in right triangle PBS:

units.
The perimeter of the parallelogram is SP+RQ+SR+PQ=

.
Answer: second choice