Answers:
Center = (0, 10)
Radius = 4
========================================================
Work Shown:
Rewrite the equation into
(x - 0)^2 + (y - 10)^2 = 4^2
Then note how it is in the form
(x - h)^2 + (y - k)^2 = r^2
We see that the center is (h,k) = (0,10) and the radius is r = 4.
Answer: 
, 
, 
, 15/2, 7.5
Step-by-step explanation: This is a bit tricky because 15/2 is equal to 7.5 !!
√40 = 6.32455532
7 1/5 = 7.2
3√6 = 7.348469228
15/2 = 7.5
7.5 = 7.5
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
