Answer:
Below in bold.
Step-by-step explanation:
As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.
The fraction (y/x) for any point will be a constant.
The fraction for (6, 4) is 4/6 = 2/3.
So also on the line we have:
(-9, -6) (because -6/-9 = 2/3).
and (3, 2).
20,194+9,283 - 372 = 29,105
The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area
The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)
The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)
The total area is: A = 54raiz (3) + 18raiz (91)
Answer:
y = amount saved in dollars
x = months
Since the student already has $20 dollars saved (20) and plans to save $10 per month (10x), the equation so far is y = 20 + 10x.
You can use this to solve questions based of the equation/situation by filling in any numbers you are given where the variables are.
Hope this helps! :)
Step-by-step explanation:
Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
