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:
3500 280
Step-by-step explanation:
280/3500
280 divided by 3500 times 100 (type this into a calculator)
its 8 her savings are 8 percent of her income
Answer: A y= -4x + 2
Step-by-step explanation:
y= mx + b
when x is 0, y is 2 which you make the y intercept (b) 2
going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4
:)