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
Answer:
G=0.0728
Step-by-step explanation:
The expression given is:
This expression has the format of a compounded interest at a rate G for a time T. If B = 3,455, A = 1,969, and T = 8, the value of the rate G is determined by:
![3,455=1,969*(1+G)^8\\G = \sqrt[8]{\frac{3,455}{1,969}}-1\\G=0.0728](https://tex.z-dn.net/?f=3%2C455%3D1%2C969%2A%281%2BG%29%5E8%5C%5CG%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B3%2C455%7D%7B1%2C969%7D%7D-1%5C%5CG%3D0.0728)
The rate G is 0.0728.
Answer:
1st one
Step-by-step explanation:
5. Positive
6. Negative
7. Negative
8. Positive
9. No correlation
10. Positive
11. No correlation
12. Positive
Answer:
8x+6
Step-by-step explanation:
4x (4-2)=2
4X*2+6
8x+6
