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4 years ago

20x + 5 + 2x = 16 what is the answer please

Mathematics

1 answer:

Gwar [14]4 years ago

5 0

20x+5y = -16

Take the 20x to the other side to get.

5y = -20x -16

Then divide both sides by 6.

So y = -4x -3

Hope that helps

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What is 7x minus 11 = -19 plus 3x?

drek231 [11]

7x - 11 = -19 + 3x

Let's first get the x isolated to one side, so subtract 3x from both sides:

4x - 11 = -19

Now add 11 to both sides:

4x = -8

Now to get x by itself, divide 4x by 4, and then divide the other side by 4, leaving:

x = -2

Check your work:
7(-2) - 11 = -19 + 3(-2)
-14 - 11 = -19 - 6
-25 = -25
Yep!

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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Sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅

Neko [114]

Answer:

The approximate value of $f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}$ is 1.366.

Step-by-step explanation:

Let $f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}$ , we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

$\sec \theta = \frac{1}{\cos \theta}$ (1)

$\tan\theta = \frac{\sin\theta}{\cos \theta}$ (2)

$\cos^{2}+\sin^{2} = 1$ (3)

Then, we simplify the given formula:

$f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }$

$f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }$

$f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }$

$f(\theta) = 1+\sin \theta$

If we know that $\sin \theta =\frac{\sqrt{3}-1}{2}$ , then the approximate value of the given function is:

$f(\theta) = 1 +\frac{\sqrt{3}-1}{2}$

$f(\theta) = \frac{\sqrt{3}+1}{2}$

$f(\theta) \approx 1.366$

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3 years ago

Is solving a logarithmic equation of the form log_b (x+a)+log_b (x+c)=d why is it essential to check the solutions to the result

Veronika [31]

Knowing that a quadratic equation has two possible solutions, we need to be careful when we solve exponential equations in checking for any quadratic one that appears. Due to 2 possible solutions,

Hope I helped :)

5 0

4 years ago