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nasty-shy [4]
3 years ago
5

What is the rational exponential form of

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​
Mathematics
1 answer:
Ksju [112]3 years ago
3 0
Answer is 3x

Reduce the index of the radical and exponent with 2
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Prove that:
devlian [24]

Answer:

<u>Identities used:</u>

  • <em>1/cosθ = secθ</em>
  • <em>1/sinθ = cosecθ</em>
  • <em>sinθ/cosθ = tanθ</em>
  • <em>cosθ/sinθ = cotθ</em>
  • <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
  • (1 - sinθ)/(1 + sinθ) =        
  • (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
  • (1 - sinθ)² / (1 - sin²θ) =
  • (1 - sinθ)² / cos²θ

<u>Square root of it is:</u>

  • (1 - sinθ)/ cosθ =
  • 1/cosθ - sinθ / cosθ =
  • secθ - tanθ
<h3>Question 2 </h3>

<u>The first part without root:</u>

  • (1 + cosθ) / (1 - cosθ) =
  • (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
  • (1 + cosθ)² / (1 - cos²θ) =
  • (1 + cosθ)² / sin²θ

<u>Its square root is:</u>

  • (1 + cosθ) / sinθ =
  • 1/sinθ + cosθ/sinθ =
  • cosecθ + cotθ

<u>The second part without root:</u>

  • (1 - cosθ) / (1 + cosθ) =
  • (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
  • (1 - cosθ)²/ (1 - cos²θ) =
  • (1 - cosθ)²/sin²θ

<u>Its square root is:</u>

  • (1 - cosθ) / sinθ =
  • 1/sinθ - cosθ / sinθ =
  • cosecθ - cotθ

<u>Sum of the results:</u>

  • cosecθ + cotθ + cosecθ - cotθ =
  • 2cosecθ
4 0
3 years ago
Read 2 more answers
Precal. Find the sum. Show every step you took to get to your answer. I will give brainliest if you are correct and show all wor
Ymorist [56]

Answer:

I think your forgot to add some parts of this question, because you can't do anything with this except simplify it down a little maybe. But, I will provide the simplified version of this.

\frac{x-4}{x^2-2x}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{\left(x+2\right)\left(x-2\right)}

= \frac{\left(x-4\right)\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)}+\frac{4x}{\left(x+2\right)\left(x-2\right)x}

= \frac{\left(x-4\right)\left(x+2\right)+4x}{x\left(x-2\right)\left(x+2\right)}

= \frac{x+4}{x\left(x+2\right)}

Step-by-step explanation:

Hope this helped!

8 0
3 years ago
8 is 25% of what number?
VLD [36.1K]

Answer:

32

Step-by-step explanation:

25% is the same as 1/4

8 times 4 is 32 so 8 is 25% of 32

8 0
2 years ago
Read 2 more answers
How much bigger is 3/8 than 1/3 answer as a fraction
alekssr [168]
You would first need to find a common denominator for 3/8 and 1/3 the common denominator would be 24 because 8 times three is 24 and 3 times 8 is 24. After you find your common denominator your fraction becomes 9/24 + 8/24. This gives you 17/24.
7 0
3 years ago
Here we go another question i'm asking you guys to help me with because i don't understand this!
Alexandra [31]

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.

3 0
2 years ago
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