Answer:
The solutions on the given interval are :
Step-by-step explanation:
We will need the double angle identity .
Let's begin:
Use double angle identity mentioned on left hand side:
Simplify a little bit on left side:
Subtract on both sides:
Factor left hand side:
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:
The first is easy what angles are -coordinates on the unit circle 0. That happens at and on the given range of (this is not be confused with the -coordinate).
Now let's look at the second equation:
Isolate .
Add 1 on both sides:
Divide both sides by 4:
This is not as easy as finding on the unit circle.
We know will render us a value between and .
So one solution on the given interval for x is .
We know cosine function is even.
So an equivalent equation is:
Apply to both sides:
Multiply both sides by -1:
This going to be negative in the 4th quadrant but if we wrap around the unit circle, , we will get an answer between and .
So the solutions on the given interval are :
Dude it’s easy
For onions: 5 x 0.96=4.8
For squash: 0.75x
For corn: 0.84y
Add em up
We get the expression as:
075x+0.84y +4.8
Hope this helps
It is the commutative property and that is when the order wont matter whem adding
If you had a pic I could answer
Step-by-step explanation:
4x + 2y = 10 --------(1)
2x + 3y = 33 -----------(2)
Multiply 2 with eq. (1) and 4 with eq. (2)
8x + 4y = 20 ____________(3)
8x + 12y = 132 ______(4)
Subtracting (3) from (4),
8x + 4y = 20
- 8x -12y = -132
----------------------
0 -8y = -112
y = 112/8
y = 4 is the answer.
Putting the vakue of y in eq. (2),
2x + 12 = 33
2x = 33-12
2x = 21
x = 21/2 is the answer.