The first term is 5. The sequence goes by 2. And 23 is the 9th term. 9x2=18
23-18=5
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
y = mx + c
7 = 4(-8) + c
c = 39
The equation is y = 4x + 39
y - 7 = 4 ( x - (-8))
y -7 = 4 (x +8)
Answer:
D
Step-by-step explanation:
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