The next step of your proof is to subtract (a/b) from both sides.
Then you get, x = (m/n) - (a/b)
Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.
Therefore, x (an irrational number) = a rational number <em>This is a false statement which is a contradiction. So, the assumption was incorrect.</em>
Thus, the sum of a rational and irrational number is an irrational number. QED
Answer:
2187
Step-by-step explanation:
× 3
729 × 3
2187
Answer:
infinity and positive infinity are the same
The author uses paragraph 12 to create tension because of <u>D.The author</u> increases a feeling of discomfort with descriptions of conflict and disagreement.
<h3>What is tension in storytelling?</h3>
Tension is a storytelling technique to ensure that readers do not drop a novel but keep readers engaged.
Creating tension helps the readers of a story to emotionally invest in the story, the characters, and the scenes.
Some authors use the following strategies to create tension?
- Raising the stakes.
- Creating crucial conflicts.
- Making the reader ask questions.
- Allowing tension to ebb and flow.
- Creating secondary sources of tension.
- Creating internal and external conflicts.
- Unfolding the story in a shorter space of time.
- Create engaging characters with opposing goals.
Thus, the author increases a feeling of discomfort with descriptions of conflict and disagreement.
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Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>
The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
- c = x = ?
- a = 4.0 cm
- b = 4.7 cm
- C = 41°
Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
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