Let x be the lengths parallel to the brick side and y be the lengths perpendicular to the brick side...
C=4(2y)+4x+16x
C=8y+20x
The area of this enclosure is xy and we are told that it is equal to 40 ft^2 so:
xy=40, so we can say y=40/x, using this y in our Cost function gives us:
C=8(40/x)+20x
C=320/x+20x
C=(320+20x^2)/x now we can take the derivatives...
dC/dx=(40x^2-20x^2-320)/x^2
dC/dx=(20x^2-320)/x^2
d2C/dx2=(40x^3-40x^3+640x)/x^4
d2C/dx2=640/x^3
Since x>0, the acceleration will always be positive, which means than when dC/dx=0, it will represent an absolute minimum for C(x)...
dC/dx=0 when 20x^2-320=0, x^2=16, x=4
So the sides parallel to the brick wall are 4 feet and those perpendicular to the brick wall are 10 feet when the cost is minimized
Is 7,301,771 divisible by 6?
No.
Remember, divisible by means the given number can be divided by a number without a remainder.
If we divide 7,301,771 by 6, we will get a remainder.
Answer:
y=3/4x+1/2
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3/4(x-2)
y-2=3/4x-3/2
y=3/4x+1/2
9514 1404 393
Answer:
- 1,2: none of these
- 5,6: vertical
Step-by-step explanation:
<u>1 and 2</u>
The angles 1 and 2 have no named relationship to each other. If the lines are parallel, their geometric relation is that of supplementary angles.
none of these
__
<u>5 and 6</u>
The angles 5 and 6 are formed from opposite rays and share a vertex. They are ...
vertical angles
Answer:
A. 11
Step-by-step explanation:
11-3=9
The set does not include 9 because the sign is not underlined so 11 is not a solution.
