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4 years ago

13

5y-3x+2=0 to y=mx+b form

1 answer:

Makovka662 [10]4 years ago

8 0

$5y-3x+2=0\\
5y=3x-2\\
y=\dfrac{3}{5}x-\dfrac{2}{5}$

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Which relation is a function?

Brums [2.3K]

The second relation is a function.

For a relation to be a function, each x-value can only have a singular corresponding y-value. Since all other relations feature x-values with multiple y-values, the second relation is a function.

5 0

3 years ago

Find the value of tan(sin^-1(1/2))

suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

$\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3$

###

Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

5 0

3 years ago

Read 2 more answers

PLEASE HELP ME ON QUESTION 6b ASAP.

Serjik [45]

Answer:

y = - sin ( x )

X E R

..............

5 0

3 years ago

What is x/9 = 9/27 help plz

Irina18 [472]

<h3><u>QUES</u><u>TION</u><u>:</u><u> </u></h3>

what is x/9 = 9/27 help plz

<h3><u>ANSWER</u><u> </u><u>AND</u><u> </u><u>SOLU</u><u>TION</u><u>:</u><u> </u></h3>

SOLVING FOR X

<u>Reduce</u><u> </u><u>first</u><u> </u><u>the</u><u> </u><u>fraction</u><u> </u><u>with</u><u> </u><u>9</u>

$\large \sf = \dfrac{x}{9} = \dfrac{ \cancel9}{ \cancel{27}}$

<u> $\large \sf = \dfrac{x}{9} = \dfrac{1}{3}$ </u>

<u>Now</u><u> </u><u>simpli</u><u>fy</u><u> </u><u>using</u><u> </u><u>cross-multiply</u>

<u> $\large \sf = \dfrac{3x}{9} = 1$ </u>

<u> $\large \sf = 3x = 1 \times 9$ </u>

<u> $\large \sf = 3x = 9$ </u>

<u>Lastly</u><u> </u><u>divide</u><u> </u><u>both</u><u> </u><u>sides</u>

<u> $\large \sf = 3x \div 3 = 9 \div 3$ </u>

<u> $\large \sf = x = 9 \div 3$ </u>

<u> $\large \sf = x = 3$ </u>

<h3><u>FINAL</u><u> </u><u>ANSWER</u><u>:</u></h3>

$\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}$

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

7 0

3 years ago

PLSS helpp <br><br> btw have a nice day

Natali5045456 [20]

It’s the first one! The table shows X going up and Y going down, so the slope would be negative!

8 0

3 years ago