A cylinder has a cross-sectional area of 17m² and a length of 14 m what is the volume of the cylinder

Mathematics

1 answer:

LekaFEV [45]1 year ago

3 0

Answer:

your answer please mark me as brainlist

Step-by-step explanation:

238

m³

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Simplify. √192 A. 8√3 B. 64√3 C. 10√6 D. 8√24

ale4655 [162]

The correct answer is: [A]: " 8 √3 " .
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Note:

√192 = √64 * √3 = 8 √3 ; which is: "Answer choice: [A] ."
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3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$