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bagirrra123 [75]
3 years ago
10

What degree of rotation about the origin will cause the triangle below to map

Mathematics
2 answers:
pychu [463]3 years ago
7 0
Sorry I don’t see any images or diagrams I’m not sure
irinina [24]3 years ago
7 0
360° Would cause the origin to map back onto itself, C. Hope this helps!
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lara31 [8.8K]

One of the rules of logarithms is as follows;

\begin{gathered} \log _ab=x \\ Is\text{ equivalent to,} \\ a^x=b \end{gathered}

We can now insert the corresponding values in the question provided, as shown below;

\begin{gathered} \log _2\frac{1}{16}=-4 \\ \text{This is equivalent to,} \\ 2^{-4}=\frac{1}{16} \end{gathered}

Note that, one of the rules of exponents, states that a number when raised to the power of a negative value, is equivalent to the reciprocal of that expression. An example is shown below;

a^{-x}=\frac{1}{a^x}

Therefore, our equation can now be re-written as follows;

\begin{gathered} 2^{-4}=\frac{1}{16} \\ \frac{1}{2^4}=\frac{1}{16}^{} \\ \frac{1}{16}=\frac{1}{16} \end{gathered}

However, the question requires the answer to be expressed in exponential form. Therefore,

\log _2\frac{1}{16}=2^{-4}

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2 years ago
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