Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
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6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
We know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos
C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=7.6 in
b=8.6 in
c=7.4 in
C=angle V
cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887
C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°
the answer is
angle V is 53.9°
Answer: -16x-21
Explanation: 6x + (-22x)=-16x
-18+(-3)=-21
She will likely finish the graduation sessions in less time.
Answer:
D) 1
Step-by-step explanation:
Every whole number (including the ones on a die) are either even or odd, nothing else. So it is guaranteed for the number to be even or odd.