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Andre45 [30]
3 years ago
6

Which law would you use to simplify the expression (x^4)^9?

Mathematics
2 answers:
Monica [59]3 years ago
7 0
The Power of a Power Rule. In this case, you basically multiply the two exponents together, and simplify (x^4)^9 to equal x^36
irina1246 [14]3 years ago
6 0
The answer is a power to a power because then you can find the way to simplify the expression. 

Hope this helps, byeee :)
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One leg in a right triangle is 11 ​m, and the hypotenuse measures 11√2 m. Find the length of the other leg.
ipn [44]

Answer:

\boxed{11m}

Step-by-step explanation:

Method #1: 45-45-90 Triangle

You can use the rules for a 45-45-90 triangle. These are:

→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.

→ The triangle will have 2 legs, <em>x</em>, and one hypotenuse, <em>x</em>√2.

Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.

Method #2: Pythagorean Theorem

You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on <u>right</u> triangles.

The Pythagorean Theorem is defined as a^{2} + b^{2} = c^{2}, where <em>a</em> and <em>b</em> are both legs of the triangle and <em>c</em> is the hypotenuse.

Therefore, substitute the known value for <em>a</em>, 11, and the known value for <em>c</em>, 11√2. Then, evaluate each value to its power (except for <em>b </em>- it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to b^{2}= ?, you should take the square root of both sides of the equation to get the value for <em>b</em>.

11^{2} +b^{2} =(11\sqrt{2} )^{2}\\121 + b^{2} = 242\\b^{2}=121\\b=11

4 0
3 years ago
You have a garden ABCD that you decide to move to another
o-na [289]

Answer: no

Step-by-step explanation: no

8 0
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hram777 [196]
Answer:

Each fraction is greater than the previous fraction.

Explanation:

The bigger the denominator, the smaller the fraction.
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Kisachek [45]
The answer is x= 9 and -3

You must fine 2 number that multiply to equal -27 and add to equal -6

(x-9) (x+3)
Then equal the parts of the binomial to zero

x - 9 = 0
x + 3 = 0

You must get x by its self.
When you do so, you'll have the answer as -3 and 9
7 0
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What is 4823.04 rounded to the nearest millimeter?
DanielleElmas [232]

what is 4823.04 rounded to the nearest millimeter?

Answer:

4823.040

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