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Andreyy89
3 years ago
8

3 = 3/2 ( 7x + 10 )

Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

x = -1.142857

Step-by-step explanation:

Start by distributing the 3/2 in the parentheses.

3 = 10.5x + 15

Next, get the variables on one side.  There are a few way to do this, the easiest being to subtract 15 from both sides.

-12 = 10.5x

Now you need to get the variable alone.  Do this by dividing both sides by 10.5.

-1.142857 = x

Hope this helps you out.

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Step-by-step explanation:

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3 years ago
Given cos theta = - 2/5 and sin theta &lt; 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

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\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

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\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
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scoundrel [369]
8 apples

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6 0
3 years ago
Read 2 more answers
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