Answer:
y = -2/3x - 3
Step-by-step explanation:
First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:
y = -2/3x - 3
Hope this helped! :)
To do this problem, we need one more piece of information. He need to know the percent of the quarters that are from New York.
If you had that number, just multiply it by 300.
For example, if 10% of the coins were from New York, just multiply by 0.1.
0.1 x 300 = 30
Answer:
your answer is going to be -158
Step-by-step explanation:
(5)-(3)^2+7×-22=-158
Why not look up "standard deviation" yourself, to be sure? But yes, the std. dev. is the sqrt of the variance.
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.