2 years ago

9x-1=1/2(15x-47) I need help

Mathematics

1 answer:

NikAS [45]2 years ago

6 0

Answer:

The answer is x= -15

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What is the value of n ?

Nina [5.8K]

Answer:

n=10

Step-by-step explanation:

5n-20=3n

-20=-2n

10=n

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3 years ago

Find the angles between -pi and pi that satisfy: (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

Please help me!!! What reason belongs to step 10?

castortr0y [4]

SAS

you see RT = RT

angle TRU = angle RTU

RU = TV

4 0

3 years ago

What is 13 10/15 in the lowest terms?

olga55 [171]

The answer is below:

$13\frac{2}{3}$

5 0

4 years ago

On a number line, A is at -2 and B is at 4.

OleMash [197]

It would be at 2. Here is why: -2 and 4 are 6 places away from each other. Now divide that by 3 (for the thirds). so each third is 2. Now thirds 2will be four, so add that to -2 and you get 2.

3 0

3 years ago