Answer:
8. (Refer to explanation)
Step-by-step explanation:
Factors of 16 and 24:
16:
1 x 16
2 x 8
4 x 4
Factors of 16 are 1, 2, 4, 8 and 16
24:
1 x 24
2 x 12
3 x 8
4 x 6
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
How to find common factor?
To find the common factor, you need to list out the factors and if a factor which is the same number appears from both 16 and 24, it is known as a common factor.
Common factors of 16 and 24 are 1, 2, 4, 8. Since greatest common factor is the number which is a common factor but is the biggest number, the answer is 8.
Step-by-step explanation:
y=55°(corresponding angles are equal)
x=55°(alternate angles are equal).
z+55°=180°
=180-55=z
z=125°
Answer:
-9+11x-8y
Step-by-step explanation:
Answer:
8/12
Step-by-step explanation:
2/3 x 4= 8/12
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.
