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Juliette [100K]
3 years ago
13

Convert the equation to polar form. (Use variables r and as needed.) x2 − y2 = 12

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

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Vlad [161]

Answer:

8/28

Step-by-step explanation:

2/7 = x/28

Since you multiply the denominator, 7, by 4 to get 28, you multiply the numerator, 2, to get x

2 x 4 = 8

Fraction is 8/28

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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Rainbow [258]

Answer:

k=42

Step-by-step explanation:

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making an equation from the equation above, we can assume:

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4 years ago
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Sav [38]

Answer:

There are no extraneous solutions

Reasoning:

An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.

first we want to isolate z:

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^2 all      ^2 all

(1+sqrt(z))(1+sqrt(z))=z+5

expand

1+2sqrt(z)+z=z+5

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sqrt(z)=2

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Since there is one solution and it is a real number, there are no extraneous solutions.

4 0
3 years ago
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Answer:

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