Answer:
85m
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
b=72m, l=?
perimeter =314m
314=2(l+72)
314/2= l+72
157=l+72
l=157-72
l=85m
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is 
The cost of material used to make one side is 
The cost of material used to make the other sides is 
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as

=> 
=> 
Now the area of the fence is mathematically represented as

=> 
=> ![C = 9x + 6[\frac{24}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%206%5B%5Cfrac%7B24%7D%7Bx%7D%20%5D)
=> ![C = 9x + [\frac{144}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7Bx%7D%20%5D)
Now differentiating


At minimum 
So




Now substituting for x in the equation above to obtain minimum cost
![C = 9(5.66) + [\frac{144}{5.66} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209%285.66%29%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7B5.66%7D%20%5D)

Slope-intercept you have right:
y=3/4x-7
Point slope form is:
y − y1 = m(x − x1)
so
y +7 = 3/4(x -0)
or
y + 7 = 3/4x
Answer:
we can proove by ASA congruence or SAS congruence rule
It will be the model that has the arrow going to the right with the starting point at 60 having a solid circle.