Answer:
Step-by-step explanation:
Let the one of the side lengths of the rectangle be 
and the other be 
.
We can write the following equations, where will be the side opposite to the wall:
From the first equation, we can isolate 
and substitute into the second equation:
Therefore, the parabola 
denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.
The x-coordinate of the vertex of a parabola in standard form 
is given by 
.
Therefore, the vertex is:
Plug in 
to the equation to get the y-coordinate:
Thus the vertex of the parabola is at 
. This tells us the following:
- The maximum area occurs when one side (y) of the rectangle is equal to 25
- The maximum area of the enclosure is 1,250 square meters
- The other dimension, from
, must be 
And therefore, the desired answers are:
$24.22 which was rounded from 24.215
Answer:
8
Step-by-step explanation:
When you divide by a fraction, you can also say that you are multiplying by the reciprocal.
So 
Answer:
Step-by-step explanation:
Let the number by x
Sum of x and 8: x +8
(x + 8)³
If you would like to simplify the expression (x - 8y) - (2x - 4y), you can do this using the following steps:
(x - 8y) - (2x - 4y) = x - 8y - 2x + 4y = -x - 4y
ax + by = -x - 4y
a = -1
b = -4
The value of b would be -4.
If you would like to simplify the expression (4x - 6) - (3x + 6), you can do this using the following steps:
(4x - 6) - (3x + 6) = 4x - 6 - 3x - 6 = x - 12
The correct result would be x - 12.
