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Mnenie [13.5K]
2 years ago
11

Plzz help 10 points ill give brainliest write an equation that's parallel to -x + 3y = 9

Mathematics
1 answer:
Feliz [49]2 years ago
7 0

Answer:

x=3y−9

Step-by-step explanation:

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These are two questions and two answers.

Question 1) Which of the following polar equations is equivalent to the parametric equations below? 

<span> x=t²
y=2t</span>

Answer: option <span>A.) r = 4cot(theta)csc(theta)
</span>

Explanation:

1) Polar coordinates ⇒ x = r cosθ and y = r sinθ

2) replace x and y in the parametric equations:

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4) equal both expressions for t²

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5) simplify

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4 = r (sinθ)² / cos θ

r = 4 cosθ / (sinθ)²

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Question 2) Which polar equation is equivalent to the parametric equations below?

<span> x=sin(theta)cos(theta)+cos(theta)
y=sin^2(theta)+sin(theta)</span>

Answer: option B) r = sinθ + 1


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2) replace x and y in the parametric equations:

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3) work both equations

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<span> b) r sinθ =sin²(θ)+sin(θ) ⇒ r sinθ = sinθ [sinθ + 1] ⇒ r = sinθ + 1
</span><span>
</span><span>
</span>Therefore, the answer is r = sinθ + 1 which is the option B.
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