What is 2y + x (3y) = - 15

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

$x=\frac{-2y-15}{3y}$

$y=\frac{-15}{3x+2}$

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Murljashka [212]

We can first calculate all the possible sums and then determine the set of possible outcomes.
Possible sums are:
1+2 = 3
1+4 = 5
1+6 = 7
1+8 = 9
2+2 = 4
2+4 = 6
2+6 = 8
2+8 = 10
3+2 = 6
3+4 = 7
3+6 = 9
3+8 = 11
4+2 = 6
4+4 = 8
4+6 = 10
4+8 = 12

From the above possibilities, the outputs would belong to the set:
<span>{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}</span>

3 0

3 years ago

Please help!! 15 points!!

vampirchik [111]

$- 1 = - 3 - 4 \cos(4θ + \frac{2\pi}{3} ) \\ - 1 + 4 \cos(4θ + \frac{2\pi}{3} ) = - 3 \\ 4 \cos(4θ + \frac{2\pi}{3} ) = - 3 + 1 \\ 4 \cos(4θ + \frac{2\pi}{3} ) = - 2 \\ \cos(4θ + \frac{2\pi}{3} ) = - \frac{1}{2} \\ \cos(4θ + \frac{2\pi}{3} ) = - \frac{1}{2} \\ \cos(2\pi - (4θ + \frac{2\pi}{3} )) = - \frac{1}{2} \\ 4θ + \frac{2\pi}{3} = arccos( - \frac{1}{2} ) \\ \cos( \frac{4\pi}{3} - 4θ) = - \frac{1}{2}$