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
Answer:
18 years
Step-by-step explanation:
2(8+x) = 34+x
16+2x = 34+x
-18 = -x
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
Answer: 31.42 inches.
Step-by-step explanation:
Since the circumference of a circle equation is C = πd (also C = 2πr, in which 2*r = d), you can just substitute d = 10.
Then you get C = π*10 ≈ 31.42 inches.
