Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
Answer:
m(-1)^n - 1
Step-by-step explanation:
I would write the missing variable as x. It's what everyone uses.
Anyway, 91 divided by x is 65.
The way we can do this is reverse 65 and x.
91 divided by 65 = x.
91 divided by 1.4 = 65
65 x 1.4 = 91
x (or ?) = 1.4
Answer: Choice A
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Explanation:
Recall that 
and 
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to 
Therefore, 
is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.
