Answer:
Step-by-step explanation:
I think option 4 is the correct answer
Answer:
x = w + v - k
Step-by-step explanation:
For this question, we would have to solve for the variable x.
Solve for x:
x + k = w + v
To solve it, we would have to get "x" by itself.
Subtract k from both sides.
x = w + v - k
Since "x" is by itself, we know what the value of "x" is.
Therefore, your answer is x = w + v - k
So at the beginning, the friends eat 3 meat pies in total. So that leaves two meat pies left.
So basically, we divide the meat pies by the number of friends.
2/6 is 1/3
So each friend needs to eat 1/3 of a meat pie
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
<u />
<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 