When doing vertical subtraction, 800 - 675 will turn out like this:
800
- <u>675
</u><u>
</u>You should know that we start on the right and then end on the left.
<u>
</u>So, we do 0 - 5, 0 - 7, then 8 - 6, right?
No. We have to borrow because you can't have a negative number when doing each number individually, only until the end. In this case, there won't be any negative numbers.
<u>
</u>You can't do 0 - 5 or 0 - 7, so you have to borrow, changing the number to the left of it one lower (unless it's 0, so then you must borrow the the next number after that).<u>
</u>
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
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