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.
1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent
Answer:
Fr^2/Gm_2=m_1
Step-by-step explanation:
What you do first is you have to cross-multiply so f*r^2 and 1*gm_1m_2 to get
Fr^2=Gm_1m_2. Next you will divide Gm_2 from both sides to get
Fr^2/Gm_2=m_1 as your answer.
Answer:
(4, -1)
Step-by-step explanation:
(4, y) is a solution to x - 2y = 6.
Find the value of y:
The value of y is '-1'.
(4, -1) is a solution to the equation.
Hope this helps.
Answer:
1)Venn diagram is on the attachment
2)5
3)15
4)28
