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allochka39001 [22]
3 years ago
14

Find the following quotient. (5−4i)/(5+4i) Answer in the form (a+bi)/c .

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{5-4i}{5+4i}=\frac{(5-4i)*(5-4i)}{(5+4i)*(5-4i)}\\\\

Now numerator is in the form (a - b)² & denominator in the form (a+b)(a - b)

(a -b)² = a² - 2ab + b²

(a + b)(a-b) = a² - b²

\frac{(5-4i)^{2}}{(5)^{2}-(4i)^{2}}=\frac{5^{2}-2*5*4i+(4i)^{2}}{25-16i^{2}}\\\\=\frac{25-40i+16i^{2}}{25-16*(-1)}\\\\=\frac{25-40i+16*(-1)}{25+16}\\\\=\frac{25-40i-16}{41}\\\\=\frac{9-40i}{41}

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Answer:

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Which function is graphed?
Alexandra [31]

Hey there! :)

Answer:

C. {x² + 4, x < 2

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Step-by-step explanation:

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y = x²+ 4

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The function x² + 4 is graphed where x < 2. (< is used because the circle is open)

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Therefore, the correct answer is:

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4 0
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