Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have
We can expression one variable in terms of the others as
Since the area is the product of the dimensions, we have
This is a parabola facing down, so it's vertex is the maximum:
So, the maximum is
And since we know that , we have as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
1. Since 9 pages in 3 hours were read, we would find the greatest common factor (GCF) of both numbers, which is 3. So you do 9 divided by 3 (3) and 3 divided by 3 (1) which leaves you with the unit rate 3/1 or 3 pgs. p/ hr.
2. 20/4. The GCF of 20 and 4 is 4. So 20 divided by 4 is 5 and 4 divided by 4 is 1. Therefore leaving you with the unit rate 5/1 or 5 lb. p/ $.
3. 60/2. The GCF of 60 and 2 is 2. 60 divided by 2 is 30. 2 divided by 2 is 1. So the manatee can surface again in 30 seconds. 30/1 or 30 b. p/ sec.
Hope I helped! :)
Answer:
x= -45/4 or -11.25 or -11 1/4
Step-by-step explanation:
-3=4x+42
4x=-45
x=-45/4
Answer:
No it would be a Arithmetic sequence because it’s adding, not multiplying.
Step-by-step explanation:
Arithmetic sequences use addition, so each term is a constant amount (common difference) more or less than the last.
Geometric sequences use multiplication, so each term is multiplied by a constant amount (common ratio) to get the next one.
Plz Brainly :’D
Answer: 4v^4 u^2
Step-by-step explanation: