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3 years ago

10

Which is a solution to the equation 6 x + y = 4

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

The answer is 6x+y

Step-by-step explanation:

Because the variables aren't the same so it would just stay the same.

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Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

A man wants to test for diabetes. His family history shows that the probability of getting diabetes is 0.6. He decides to do a h

lesantik [10]

So,

The probability of the man having diabetes is 0.6 or 60%. Because we are figuring the probability BEFORE the test is taken that he has the disease, we can disregard the test and its accuracy rate. That rate is 60%, the probability of him having diabetes.

The correct option is D.

8 0

3 years ago

Help me please,Thanks

Alborosie

the formula for volume of a prism is base x height

4 0

3 years ago

Is the volume of a triangular prism one-third the volume of a rectangular prism with the same base area and height? ASAP!!!!!!!

alexira [117]

Yes because a triangles are is 1/3 b x h and a rectangles area is just b x h. The triangle would get smaller because it doesn’t have one corner, and the rectangle would keep a constant size.

4 0

4 years ago

What is 1/4 of £42<br><br> and what is 2/5 of £13.50

xxTIMURxx [149]

Divide 42 by 4 for one fourth. Divide 13.5 by 5 and multiply that by 2.

5 0

4 years ago

Read 2 more answers