Answer:
- perfect square: 2, 5
- difference of squares: 1, 6
Step-by-step explanation:
If the two factors are identical, their product will be a perfect square.
If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.
(a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices
(a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices
3,200,00 converted to scientific notation is 3.2 x 106
Step-by-step explanation:
x - y + 5z = 29
y + 2z = 4
z = 7
since z = 7 we can use this value in second equation
y + 2×7 = 4 and y = -10
now we know the value of y we can solve the first equation
x -(-10) + 5×7 = 29
x + 10 + 35 = 29
x = -11
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.
we can establish a ratio since triangle MNQ is equal to Triangle MLP.
your answer is B 9 inches
