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3 years ago

Which expression is equivalent to sqrt 128x^5y^6/2x^7y^5

1 answer:

7 0

$\sqrt{\dfrac{128x^5y^6}{2x^7y^5}}=\sqrt{\dfrac{128}{2}\cdot\dfrac{x^5}{x^7}\cdot\dfrac{y^6}{y^5}}=\sqrt{64\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}}=\sqrt{64}\cdot\sqrt{\dfrac{1}{x^2}}\cdot\sqrt{y}\\\\=\boxed{\dfrac{8\sqrt{y}}{|x|}}\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=|a|$

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Go math chapter 3 review answerd

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2 years ago

Find the area and perimeter. The area is ... and the perimeter is ...

Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

$a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c$

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

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3 years ago

What is the The product of -2 and a number minus six is greater than -18.

Fed [463]

Answer: x>-6

Explanation: -2x -6>-18
-2x >-12
-x>6
X>-6

6 0

3 years ago

How do you evaluate 3yx+2x when x=4 and y=-2 A. -28 B. -16 C. 8 D. 56

Vikki [24]

Answer:

B: -16

Step-by-step explanation:

Plug the variables in accordingly. 3(-2)(4)+2(4)

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8 0

3 years ago

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word

alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

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2 years ago