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2 years ago

Which expressions are equivalent to

Mathematics

2 answers:

klio [65]2 years ago

7 0

Answer:

Tired

Step-by-step explanation:

riadik2000 [5.3K]2 years ago

4 0

<h3>Given ↓</h3>

The expression 6+12x

Which expressions are equivalent to 6+12x?

<h3>Calculations ↓</h3>

Let's see the other options :

7(1+2x)

Use the distributive property :

7+14x

Is 7+14x equivalent to 6+12x? No.

The expression equivalent to 6+12x is :

6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses

hope helpful ~

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the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

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The surface area of a cylinder is calculated as:

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Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

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