Step-by-step explanation:
work is shown and pictured
Stance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,5)(7,3)
d = sqrt (7 - 3)^2 + (3 - 5)^2
d = sqrt 4^2 + (-2^2)
d = sqrt 16 + 4
d = sqrt 20
d = 4.47....rounded = 4.5
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:
#6 would be 15/7
#7 would be 4/90
#8 would be 17/12
i can't see number 9
#11 would be 65/15 or 4.3333333
31 + 34
Step-by-step explanation:
