Please help me! Thanks in advance

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

1st one as they go up in constant values

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Find a cartesian equation for the curve. r = 9 sin(θ)

Paul [167]

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

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2 years ago

Please help ‼️‼️ I’m doing functions

eduard

In this problem, you're looking for the value of t, so that f(t) = 48. That means if you put t into 5t-7, you'll get 48. To do this set up and solve an equation for t by setting 48 equal to 5t-7:
$5t-7=48$

Isolate the variable by adding 7 to both sides.
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3 years ago

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faltersainse [42]

Answer:

(2/3)³

2³/3³

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Step-by-step explanation:

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