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Ludmilka [50]
3 years ago
9

How to solve 10 = 1\3( x - 15 )

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

x=45

Step-by-step explanation:

In order to solve for x, you would need to get the variable by itself. First, we would divide 1/3 on both sides.

10 = 1/3 (x - 15)

10 / (1/3) = (x - 15)

30 = x - 15

Then we would add 15 to both sides.

45 = x

Then, we can check our work by plugging the value of x into the original equation.

10 = 1/3 (x - 15)

10 = 1/3 (30)

10=10

The correct answer is x = 45

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Taking the square root of both sides gives two possible cases,

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9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

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so in the equations above, we can write

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Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

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