<img src="https://tex.z-dn.net/?f=%283%20%7Bx%7D%5E%7B3%7D%20%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(3 {x}^{3} ) {}^

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inysia [295]

3 years ago

{2} " alt="(3 {x}^{3} ) {}^{2} " align="absmiddle" class="latex-formula">
sovle

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

9 $x^{6}$

Step-by-step explanation:

(3x³)² Distribute the exponent of 2 to everything

(3² $x^{6}$ ) Simplify

9 $x^{6}$

If this answer is correct, please make me Brainliest!

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What's 0 divided by 0?

Vitek1552 [10]

Answer:

Nothing

Step-by-step explanation:

You can't divide by zero

7 0

3 years ago

Read 2 more answers

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

3 years ago

Question 1 of 29

Zina [86]

The characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

<h3>What is tessellation ?</h3>

When we talk about tessellation, our minds go to a situation in which many shapes especially polygons are packed together without spaces between them.

Thus, the characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

Learn more about tessellation: brainly.com/question/3294818

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2 years ago

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andrezito [222]

Machine J's equation would be 30x=y. To find out how many more candies Machine J packets, You would plug in 11 as x and you would get 330.
For Machine K, you would just plug in 11 as x. Your answer is 286.
Now you would subtract. 330-286=44.

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3 years ago

Witch method can be used to find the area of the composite shape?

Setler79 [48]

No idea because there is no image

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3 years ago