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telo118 [61]
3 years ago
8

How do you rewrite 3x-9y=18 as a slop-intercept form?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0
I believe it would be y=-1/3x-2
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If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?
Scorpion4ik [409]
Sinθ = (2/3)    tanθ < 0  Implies tanθ = Negative.

For sin positive and tan negative, implies θ is in the second quadrant.

<span>Sinθ = (2/3) = opposite / Hypotenuse.

Adjacent side:

x</span>² + 2² = 3²

x² + 4 = 9<span>

</span>x<span>² = 9 - 4
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x<span>² = 5
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x = </span>√5 = Adjacent.
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cos</span>θ  =  Adjacent / Hypotenuse =  √5 / 3
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Since </span><span>θ is in the second quadrant, cosine is also negative in the second quadrant.
</span><span>

Therefore:

</span>cos<span>θ  =  - (√5/3)
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The last option from the top :  <span>negative square root of 5 over 3</span>
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p\%=\dfrac{p}{100}=p:100

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7.\ 56\%=\dfrac{56}{100}=\dfrac{56:4}{100:4}=\dfrac{14}{25}\\\\56\%=56:100=0.56\\\\8.\ 66\dfrac{2}{3}\%=\dfrac{66\cdot3+2}{3}\%=\dfrac{200}{3}\%\\\\\dfrac{200}{3}\%=\dfrac{\frac{200}{3}}{100}=\dfrac{200}{3\cdot100}=\dfrac{2}{3}\\\\\dfrac{200}{3}\%=\dfrac{200}{3}:100=66.666...:100=0.666...\approx0.67\\\\9.\ 25\%=\dfrac{25}{100}=\dfrac{25:25}{100:25}=\dfrac{1}{4}\\\\25\%=25:100=0.25

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