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aev [14]
3 years ago
9

How to solve 2x-8y=16

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0
The answer of your question is x - 4 y=8
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Verify the identity. cot(x - pi/2) = -tan(x)
gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

8 0
3 years ago
Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200
wolverine [178]

Answer:

156.37°

Step-by-step explanation:

We solve this above question, using Cosine rule which is given as:

Cos C = a² + b² - c²/2ab

Let the Angle be represented as: x

Cos x = 310² + 200² - 150²/2 × 310 × 200

x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]

x = 23.63°

The angle, in degrees, that he must turn through to head straight for Island B is given as:

180° - 23.63°

= 156.37°

4 0
3 years ago
Write the standard form of the equation of the line through (4, 4) and parallel to y = -6x + 5.
valina [46]

Answer:

y

=

−

6

x

+

5

.

y

=

−

6

x

+

28

Step-by-step explanation:

5 0
2 years ago
When you flip a biased coin the probability of getting a tail is 0.42.
ddd [48]

Answer:

0.58 or 58%

Step-by-step explanation:

If the highest probability is 1, and you already have 0.42, you have to find what is left, so our equation is:

1 - 0.41 = 0.58

So the probability of getting a head is 0.58 or 58%

8 0
3 years ago
A shoemaker makes 15,200$ and 912$ in commission (included in 15,200). What is the percent he made in commission to he whole amo
kodGreya [7K]

The total amount of money he only made is calculated by the formula:

amount made = 15,200 – 912

amount made = 14,288

 

Therefore the percentage commission was:

% commission = 912 / 14,288 * 100%

<span>% commission = 6.38 %</span>

6 0
3 years ago
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