Answer:
Step-by-step explanation:
<u>Perimeter is</u>
<em>P = 2(l+w), where l= length, w = width</em>
<u>Substitute values to find the value of w:</u>
- 88 = 2(w + 16 + w)
- 2w + 16 = 44
- 2w = 28
- w = 14
Then
Dimensions are 14 ft and 30 ft
Step-by-step explanation:
I assume we are simplifying
1) -6k+7k = k
2) 12r-8-12 = 12r-20
3) n-10+9n-3 = 10n-13
4) -4x-10x = -14x
You reverse the inequality when you divide both sides by a negative number.
example:
-5x>45 (you divide both sides here by -5 to get the value of x)
answer:
x<9 (notice inequality has been has been reversed)
Answer:
x= -6 twice
Step-by-step explanation:
x^2-3x-10/x^2+12x+36
By using undefined fraction we only take the denominator and equate it to 0
x^2+12x+36=0
x^2+6x+6x+36=0
(x^2+6x)+(6x+36)=0
x(x+6)+6(x+6)=0
(x+6)(x+6)=0
x+6=0 or x+6=0
x= -6 or x= -6
therefore x= -6 twice
To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the surface area and the volume of the tank:
2. Solve for 
in the second equation and substitute it into the first one.Then, you have:
3. Now, derivate:
4. When you solve for 
, you obtain:
![2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03](https://tex.z-dn.net/?f=%202x%5E%7B3%7D-256%3D0%5C%5C%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B256%7D%7B2%7D%7D%20%20%5C%5C%20x%3D5.03%20)
5. Now, you must calculate :
Therefore, the dimensions are:
The sides of the base of the tank: 
The height of the tank: 
