2 years ago

The chemical substance in food that help maintain our body are known as what

Health

1 answer:

Umnica [9.8K]2 years ago

3 0

The chemical substance is a nutrient

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2 years ago

If 2^x=3^y=12^z, show that 1÷z=1÷y+2÷x.....

Ostrovityanka [42]

Answer:

Proof of $\dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}$ is shown below.

Explanation:

The given equation is

$2^x=3^y=12^z$

To prove : $\dfrac{1}{z}=\dfrac{1}{y}+\dfrac{2}{x}$

Proof : Let as assume,

$2^x=3^y=12^z=k$

$2^x=k\Rightarrow 2=k^{\frac{1}{x}}$ ...(1)

$3^y=k\Rightarrow 3=k^{\frac{1}{y}}$ ...(2)

$12^z=k\Rightarrow 12=k^{\frac{1}{z}}$ ...(3)

We know that

$12=2\times 2\times 3$

$12=(2)^2\times 3$

Using (1), (2) and (3), we get

$k^{\frac{1}{z}}=(k^{\frac{1}{x}})^2\times k^{\frac{1}{y}}$

$k^{\frac{1}{z}}=k^{\frac{2}{x}}\times k^{\frac{1}{y}}$

$k^{\frac{1}{z}}=k^{\frac{2}{x}+\frac{1}{y}}$

On comparing both sides, we get

$\dfrac{1}{z}}=\dfrac{2}{x}+\dfrac{1}{y}$

$\dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}$

Hence proved.

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Drea has never had alcohol, but she believes her friends when they tell her that almost everybody at their school drinks on a re

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Drea shouldn't drink any. Her "friends" are liars too.

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Drea was just minding her business, and then her friends come along and try to pressure her?! Obviously, they're not her friends. They full face, through the yellow of their alcohol soaked teeth lied to her! Alcohol has a terrible impact on the body, and they wanted to put that on their friend? Not cool.

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