Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
Solve it. First, express y in terms of x from the second equation:
Substitute it into the first equation:
Apply zero product property:
So,
When 
then 
When 
then 
We get two solutions: (5,-4) and (-5,6)
Answer:
False
Step-by-step explanation:
75%
21
28 5.88
21 x 28
100
= 5.88
x 100% = 75%33.3333333333%
28 - 21
21
x 100% = 33.3333333333%
Answer:
39785
Step-by-step explanation:
or,40596×2÷100=811
or,40596-811=39785
Answer: His average speed is 8 miles an hour
Step-by-step explanation: First, two halves make a whole, so we simply multiply how many miles he ran in half an hour by 2!
4 x 2 = 8
Hope this helps :)
