Answer:
Step-by-step explanation:
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer:
The answer would be B.
Because if you multiply all the numbers of ABC then go through the list of the A'B'C' options only B matches up
Answer:
Step-by-step explanation
Volume of tank = l* b*h
= 18*16*13
=3744 cubic cm
Volume of cylinder = volume of tank
πr²h = 3744
3.14* (17/2)² * h = 3744
h= 3744 *2 *2/*17*17*3.14
h=16.5 cm
Well since the GCF of 6, (6x7)+(6x12) would be the distributive property, which would be 114