3 years ago

What’s the answer to 1 = ? • 2 to the 6

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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What multiplies to get 14 and adds to get -9

____ [38]

Hi. I begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.

To be clear: -2 x -7 = 14; and -2 + -7 = -9.

So the answer is -2 and -7.

7 0

4 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$