Answer:
second one
Step-by-step explanation:
Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2
So it will be 2x+18y
2*9=18
Answer: v ≥ 6
This means that Adrian needs to do at least 6 visits.
Step-by-step explanation:
First, we know that he gets 20 points just for signing up, so he starts with 20 points.
Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:
20 + 2.5*v
points.
And he needs to get at least 35 points, then the total number of points must be such that:
points ≥ 35
and we know that:
points = 20 + 2.5*v
then we have the inequality:
20 + 2.5*v ≥ 35
Now we can solve this for v, so we need to isolate v in one side of the equation:
2.5*v ≥ 35 - 20 = 15
2.5*v ≥ 15
v ≥ 15/2.5 = 6
v ≥ 6
So he needs to make at least 6 visits.
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Answer:
x = -1, -5
Step-by-step explanation:

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Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → C = π - (A + B)
→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))
→ sin C = sin (A + B) cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS: (sin 2A + sin 2B) + sin 2C




![\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]](https://tex.z-dn.net/?f=%5Ctext%7BFactor%3A%7D%5Cqquad%20%5Cqquad%20%5Cqquad%202%5Csin%20C%5Ccdot%20%5B%5Ccos%20%28A-B%29%2B%5Ccos%20%28A%2BB%29%5D)


LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C 