Let
x---------> the length side of the rectangular area
y---------> the width side of the rectangular area
we know that
the area of the rectangle is equal to
-----> equation 
The perimeter of the rectangle is equal to
but remember that the fourth side of the rectangle will be formed by a portion of the barn wall
so
-----> equation 
<em>To minimize the cost we must minimize the perimeter</em>
Substitute the equation in the equation
![P=x+2*[\frac{200}{x} ]](https://tex.z-dn.net/?f=%20P%3Dx%2B2%2A%5B%5Cfrac%7B200%7D%7Bx%7D%20%20%5D%20)
Using a graph tool
see the attached figure
The minimum of the graph is the point 
that means for 
the perimeter is a minimum and equal to 
<u>Find the value of y</u>
The cost of fencing is equal to
therefore
<u>the answer is</u>
the length side of the the fourth wall will be 
(a) The third side could be 6 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) Then you can draw the triangle with Side 1 = 3 cm; Side 2 = 4 cm; Side 3 = 6 cm.
(b) The third side could not be 1 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) This means that you cannot draw the triangle.
Answer:
Distribute or Die part 2: Attack of the PEMDAS!
Answer:
3 x 2 = 6
Step-by-step explanation:
By multiplying both 3 and 2, it equals to 6.
Hope this helps! :)
Answer:
(4a - 9)(4a + 9)
Step-by-step explanation:
Every value in the equation has a square root
The square root of 16 is 4
The square root of a^2 is a
The square root of 81 is 9.
To factor you split the equation by the square roots. For 81, since the original value is negative, one of the roots must be negative so when you multiply it back out to the original, it stays the same.
You can check your answer this way too.
(4a -9)(4a + 9)
= 16a^2 + 36a - 36a - 81
= 16a^2 - 81
I hope this helps!
