Someone help me with these :( hurry pls
1 answer:
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Answer:
C. (5x - 1)(x + 8)
Step-by-step explanation:
In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:
- <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
- <em>The factors with add to 39 are 40 and -1</em>.
- <em>Set up the problem:</em>
Now, we can fo the math:
8(5x - 1) + x(5x - 1)
<em>Factor (5x - 1) from this:</em>
(5x - 1)(x + 8)
And we have our answer.
Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So .
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for :
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property: