Answer:
x=45
Step-by-step explanation:
The angles are supplementary
45+3x=180
-45
3x=135
divide by 3
x=45
Answer:
13/19
Step-by-step explanation:
To find the reciprocal, flip the number.
The reciprocal of 19/13 is 13/19
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The diameter is the distance from one side of a circle to the other, if you cross through the center. The circumference is the distance around the circle. The circumference is equal to two time pi time the radius (C=2*pi*r)
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.
