Sin(4x) - sin(8x)
sin(2(2x)) - sin(2(4x))
2sin(2x)cos(2x) - 2sin(4x)cos(4x)
2[sin(x)cos(x)][cos²(x) - sin²(x)] - [2sin(2(2x))cos(2(2x))]
{2[sin(x)cos³(x) - sin³(x)cos(x)]} - [2[2sin(2x)cos(2x)][cos²(x) - sin²(x)]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - {[2[2[sin(x)cos(x)][cos²(x) - sin²(x)]][cos²(x) - sin²(x)]}
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos(x)][cos⁴(x) - 2cos²(x)sin²(x) - sin⁴(x)]]]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos⁵(x) - 2sin³(x)cos³(x) + sin⁵(x)cos(x)]]]
2sin(x)cos³(x) - 2sin³(x)cos(x) - 4sin(x)cos⁵(x) + 8sin³(x)cos³(x) - 4sin⁵(x)cos(x)
3(2m+12) -4m = 20 -3(3m+5)
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
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Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
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Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.
The step 7 is a wrong step, because in the denominator 1 is written in place of 2.
<h3>What is a quadratic equation?</h3>
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
Two of the steps in the derivation of the quadratic formula are shown below.
The equation is given below.

Then the above equation can be written as

The step 7 is a wrong step, because in the denominator 1 is written in place of 2.
More about the quadratic equation link is given below.
brainly.com/question/2263981
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Perimeter is 100 feet
Area is 600 feet