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3 years ago

If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k

Mathematics

1 answer:

ASHA 777 [7]3 years ago

5 0

Answer:

k = 0.5

Step-by-step explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k

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The san paulo community swimming pool can be filled in 12 hr if water enters through a pipe alone or in 30 hr if water enters th

Nuetrik [128]

Alright, lets gets started.

If water enters through a pipe alone, swimming pool can be filled in 12 hr.

Or say, in 12 hrs, swimming pool can be filled with help of pipe.

It means in 1 hr, the part of swimming pool filled = $\frac{1}{12}$ (For pipe only)

Similarly, with hose only, , in 1 hr, the part of swimming pool filled = $\frac{1}{30}$

So, water is coming from both, pipe and hose , then in 1 hr, the part of pool filled will be = $\frac{1}{12} + \frac{1}{30}$

Suppose in x hrs, with both supplies, pipe and hose, pool is filled.

Means

$\frac{1}{12} + \frac{1}{30} = \frac{1}{x}$

making common denominator

$\frac{30}{360} + \frac{12}{360} = \frac{1}{x}$

$\frac{30 + 12}{360} = \frac{1}{x}$

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Flipping

$\frac{360}{42} = x$

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Means 8.57 hrs : Answer

Hope it will help :)

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3 years ago

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Veronika [31]

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3 years ago

What is the GCF of 6 and 16?

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)

satela [25.4K]

Answer:

$\large\boxed{2a+14}$

Step-by-step explanation:

$4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14$

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3 years ago

Identify the greatest common factor. 20x^5 - 8x^4 +12x^2

Ugo [173]

4x^2 is the greatest commonly factor for these exponents.

Hope this helps you! :)

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