Let's call the length of the rectangular fence 
and the width of the rectangular fence 
.
Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:
Now, let's substitute in the values we are given in the problem:
Now, let's solve the system using substitution.
- Solve for from the first equation
- Substitute this value into the second equation
- Multiply both sides of the equation by
- Subtract
from both sides of the equation
and 
- Use the Zero Product Property and solve both factors
We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:
Thus, our answer is Choice C, or 10 feet by 24 feet.
Answer:
-<u>One Equation</u>: is set equal to a variable
Example:
y = 2x + 1
x + 3y = -12
You already have y, plug it back into x + 3y = -12
x + 3(2x + 1) = -12
x + 6x + 3 = -12
7x + 3 = -12
(Subtract 3 from each side)
7x = -15
(Divide by 7)
x = - 2.14
-<u>No Equation</u>: is set equal to a variable
Example:
2x + y = 10
4× + 2y = -3
Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.
4x + 2(-2x + 10) = -3
4x + -4x + 20 = -3
(Subtract 20 from each side)
4x + -4x = -23
(Add 4x and -4x)
0 = -23
No Solution
<u>-Both</u><u> </u><u>Equations</u>: are set equal to a variable
Example:
y = x + 5
y = -x + 3
(you already have y so plug it into the other equation to solve for x)
-x + 3 = x + 5
(Add -x on both sides)
3 = 2x + 5
(subtract 5 from both sides)
-2 = 2x
(Divide by 2 on each side)
x = -1
I hope this helped!
Answer:
x= 1/3 , -4/3
Step-by-step explanation:
9x^2 + 9x -4 =0
(3x-1) (3x+4) =0
x= 1/3 , -4/3
Answer:
8n^2 8n squared
Step-by-step explanation:
Answer:
number 4 is $223.6 (ADD THE MONEY SYMBOL TOO)
Step-by-step explanation:
44.72 = tip + money she gets per unit of time
then 44.72 x 5 because 5 is how many hours and 44.72 is how much she gets an hour
