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:
the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye
Answer:
Y = 2
X = 3
Step-by-step explanation:
Substitution:
6(4y-5) - y = 16
24y-30-y=16
23y=46
Y = 2
So then:
6x-2 = 16
6x = 18
X = 3
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
x = 3
Step-by-step explanation:
Since all 3 sides of the triangle are congruent then the triangle is equilateral
The 3 angles are congruent and equal to 60°, thus
25x - 15 = 60 ( add 15 to both sides )
25x = 75 ( divide both sides by 25 )
x = 3
