For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Here is your answer and result
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Answer:
12 ft^2
Step-by-step explanation:
48 inches needs to be converted to ft
12 inches = 1 ft
48/12 = 4 ft
36 inches needs to be converted to ft
12 inches = 1 ft
36/12 =3 ft
Find the area
4 ft * 3 ft = 12 ft^2
Answer: the third one
Step-by-step explanation:
The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.
<h3>What is a Hyperbola?</h3>
This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.
The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.
Read more about Hyperbola here brainly.com/question/3351710
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