Answer:
x=14 , y = 21
Step-by-step explanation:
y=x-7...............1
5x+2y=7......2
reset eqn .....2
2y=-5x+7
so; y=-x-7 ×5
2y=-5x+7 ×1
5y = -5x -35
2y = -5x +7
5y-2y = -5 + 5 -35-7
<u>3y</u> = - <u>42</u>
3 3
y = 14
sub y=14 into eqn ...........1
y = -x -7
14 = - x -7
14 +7 = - x
-21 = x
x = 14 , y =-21
Answer:
220 degrees
Step-by-step explanation:
120 degrees + 100 degrees= 220 degrees
F(x) = -4sin(2x + π) - 5
<u>Amplitude</u>
A = -π
<u>Period</u>
<u>2π</u> = <u>2π</u> = π
B 2
<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B 2<u>
</u>
Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.
C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4
The 5 terms cancel.
9*8*7*6 / 4*3*2 =
9*7*2 =
126
The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.