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3 years ago

What property is shown in the equation below?

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

The answer to the problem is B.

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There are twelve people on the jury there were 4more man than women how many man were <br>there/

irina1246 [14]

$x-the \ number \ of \ women \\ x+4 -the \ number \ of \ men \\\\ x+x+4=12 \\\\ 2x+4=12 \\\\ 2x=12-4 \\\\ 2x=8 \\\\ \boxed{x=\frac{8}{2}=4 \ women} \\\\ x+4= \\\\ = 4+4\to\boxed{8 \ men}$

4 0

3 years ago

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Cot(x)=-3. find sin(x)

ASHA 777 [7]

Answer:

sin(x)=1/ $\sqrt10$

Step-by-step explanation:

The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity

sin²x = 1 /( 1+cot²x )

now cot(x)= -3

⇒ cot²x= (-3)²

⇒ cot²x= 9

sin²x= 1/( 1+9)

⇒ sin²x = 1/10

taking under root on both the sides we get

√sin²x= $\sqrt1$ / $\sqrt10$

⇒ sin(x)=± 1/ $\sqrt10$

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3 years ago

The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second

ehidna [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

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Consider the composite function (g (x) ) = StartRoot StartFraction 1 Over x squared minus 3 EndFraction EndRoot. If g(x) = x2 –

balandron [24]

Answer:

answer is c

Step-by-step explanation:

8 0

4 years ago

The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

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