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3 years ago

What is the solution of 5/2x-7=3/5x+14? A x= -6 B x=6 C x=8 D x=12

Mathematics

1 answer:

Stels [109]3 years ago

5 0

The solution is D x=12

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<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2

guapka [62]

Step-by-step explanation:

$\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

Use the identity

$\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}$

on the left side.

$\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

Now use the identity

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

on the left side.

$\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

4 0

2 years ago

Which of the following numbers is a factor of 78?

Aloiza [94]

Step-by-step explanation:

78 = 2 * 39 = 2 * 3 * 13.

Since 6 = 2 * 3 and its factors can be found in 78,

Hence the answer is 6. (C)

4 0

3 years ago

Can someone help me this this sheet please and thank you.!

AveGali [126]

Answer:

1- faster 2- rises,sink 3-equater 4-convection idk the rest

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

Nookie1986 [14]

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
\end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k
\\\\\\
13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}$

8 0

2 years ago

Please help me with this!

ella [17]

180° - 36° - 39° - 33° = 72°

x° = 180° - 72°

x° = 108°

So, the value of x is 108°

Hope it helps and is useful :)

4 0

2 years ago

What is the solution of 5/2x-7=3/5x+14? A x= -6 B x=6 C x=8 D x=12​

What is the solution of 5/2x-7=3/5x+14? A x= -6 B x=6 C x=8 D x=12