The formula for an area of a regular parallelogram is:
A = l * w
Where,
l = length
w = width
We are given that the total measurement of fence is only
60 feet and one side of the house is used as one side of the pen. Therefore,
l + 2 w = 60
<span>or simplifying to make an explicit expression for
one variable, say l:</span>
l = 60 – 2 w
<span>Substituting to the 1st equation:</span>
A = (60 – 2 w) * w
A = 60 w – 2 w^2
<span>The maxima are obtained by getting the 1st
derivative then equating dA/dw = 0:</span>
dA/dw
= 60 – 4 w
60 –
4 w = 0
4 w
= 60
w =
15
Since
l = 60 - 2w
l =
60 – 30
l =
30
<span>Therefore
the dimension that will make the largest pen is 15 ft by 30 ft.</span>
<span>ANSWER: C</span>
(1,0) and (7,0) are the x intercepts
Answer:
x = 2 1/6
Step-by-step explanation:
6 1/4 (x− 2/3 )=9 3/8
Change the mixed numbers to improper fractions
6 1/4 = (4*6+1) / 4 = 25/4
9 3/8 = (8*9 +3) /8 = 75/8
25/4 (x-2/3) = 75/8
Multiply each side by 4/25
4/25*25/4 (x-2/3) = 75/8 *4/25
x-2/3 = 75/25 *4/8
x-2/3 = 3 *1/2
x-2/3 = 3/2
Add 2/3 to each side
x-2/3 +2/3 = 3/2 +2/3
x= 3/2 +2/3
Get a common denominator of 6
x = 3/2 *3/3 + 2/3 *2/2
x = 9/6 + 4/6
x = 13/6
6 goes into 13 2 times with 1 left over
x = 2 1/6
Answer:
(IN RELATION TO THE PICTURE)
[YES] [YES]
[YES] [NO ]
Step-by-step explanation:
the first number, 2, represents how many wholes are in the group, beings it is separated from the rest of the fraction by a space
the 2/3 is the fraction itself, in this case the last number, 3, is how many pieces the new whole is divided into, wile the first part is how many of those pieces are there
im running on low sleep and ill edit this answer if im wrong, but i hope this helps you with the current problem
Answer:
I think -7/12
Step-by-step explanation:
