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
Hi!
I believe this will answer your question the parent function of f(x) = 5x − 1 is 5, the parent function of g(x) = 3^x − 9 is 3^x ln (3), and g(x) − f(x) is -5f+g*3^x ln (3)
Answer: Negative
Step-by-step explanation: Since the values of A and B are both negative (because they are below 0), adding them together will also make the sum negative.
The answer depends on the way you solved it.
I am assuming you take the base on which you perceived to be: . 5 and height which is 2.
So you must've ended with 1
But in actuality, you need to use the equation above and plug in 1.5 and 1
Subtract them and you should get 1.25
Do the same to the other side, you should get 6.
.125 x 6 = .875
Answer:
305.78 in2
Step-by-step explanation:
The rocket has two parts: one is a cylinder and the other is a cone.
To find the total volume of the rocket, we need to find firstly the volume of each part.
The cylinder has a radius of 2 inches and a height of 2*12 + 5 - 7 = 22 inches, so its volume is:
V1 = pi * r^2 * h = pi * 2^2 * 22 = 276.46 in2
The cone has a radius of 2 inches and a height of 7 inches, so its volume is:
V2 = (1/3) * pi * r^2 * h = (1/3) * pi * 2^2 * 7 = 29.32 in2
Then, we have that the volume of the rocket is:
V = V1 + V2 = 276.46 + 29.32 = 305.78 in2
