X=side length of a campsite
12x(5+x)=1248 because each campsite has a length of x and there are 12 and from the top of the camp to the water is the 5 yds + a side length and LW=1248
60x+12x^2=1248
12x^2+60x-1248=0
x^2+5-14=0
(x+7)(x-2)=0
x+7=0 or x-2=0
x=-7 or x=2
x=2 because width can't be negative
the width of one campsite is 2 yds
Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
1 gallon of water= 3.79 liters of water
1 liter of water makes 4 1/3 glasses of water
Answer:
x=ln(41)/ln(243)
Step-by-step explanation:
20(3)^5x=820
3^5x=820/20
3^5x=41
5x=ln(41)/ln(3)
x=(1/5)[ln(41)/ln(3)]
x=ln(41)/ln(3^5)
x=ln(41)/ln(243)
Answer:
![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The system of equations is;
-12x-13y +13z =15
7x-10y-3z = 11
7x+14y +5z = -5
The coefficient matrix is ![\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-13%2613%5C%5C7%26-10%26-3%5C%5C7%2614%265%5Cend%7Barray%7D%5Cright%5D)
The constant matrix is ![\left[\begin{array}{c}15\\11\\-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C11%5C%5C-5%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix is
