What is the least common denominator of 5/12 and 4/18

Mathematics

1 answer:

Natalija [7]4 years ago

6 0

Answer:

Step-by-step explanation:

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Find all solutions in the region [0,2pi) for the equation cos^2(2x)-sin^2(2x)=0

Lynna [10]

$\cos^{2}(2x)-\sin^{2}(2x)=0$
$\rightarrow \sin^{2}(2x)=\cos^{2}(2x)$
$\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1$
$\rightarrow \tan^{2}(2x)=1$
$\rightarrow \tan(2x)=\pm 1$

$2x$ can range anywhere in $[0, 4\pi)$
So:
$\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}$
$\rightarrow x=\frac{\pi}{8}, \frac{3\pi}{8}, \frac{5\pi}{8}, \frac{7\pi}{8}, \frac{9\pi}{8}, \frac{11\pi}{8}, \frac{13\pi}{8}, \frac{15\pi}{8}$

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4 years ago

Which verbal expression best describes the algebraic expression 2x ÷ 4?

fomenos

The quotient of 2 times some number and four.

Hope this helps and sorry if it is wrong but it’s what I got

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3 years ago

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Complete the sentence below.<br><br> The expression 52x – 169 is equivalent to 13(<br> )

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Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

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3 years ago

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