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drek231 [11]
3 years ago
10

I got letter C as my answer, is that correct?

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0
Yes it is C if you do the math and simplify it that is what you’ll get
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Distribute and find the value of x : -6(-4+6x)= 24
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Suppose r = 9 + 3s. What is r, if s = 6?
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The answer is
\frac{-6i-3}{5}.

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\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
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\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
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\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
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\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
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