Answer:
Step-by-step explanation:
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:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangle ABC and ADE are congruent triangles by SSS Theorem postulate
therefore

The statement is "8 less than the product of 6 and a number, x." "Less than" indicates subtraction - you will subtract 8 from a number. That number is "the product of 6 and a number, x." "The product" of these numbers will result with multiplication - you are multiplying 6 and x.
All this gives you the expression: 6x - 8.