Answer:
a
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
<em>Answer:</em>
<em>The answer for this question will be 324 square roots</em>
<em>Step-by-step explanation:</em>
<em>The length and width of a rectangle are interchangeable, however we usually use the longer side for the length.
</em>
<em>If that's the case, </em><em>then the square is 18 x 18 = 324 square units.
</em>
<em>On the other hand, the square could also be 10 x 10 square units. You choose ! In reality, the length and width, like I said, are interchangeable.</em>
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.
