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:
Answer:
x=-7,y=-2
Step-by-step explanation:
2y=-32-4x
y=-16-2x
7x+(-16-2x)=-51
5x-16=-51
5x=-35
x=-7
<3
Red
Angle COD is 60 degrees
angle BOC is 80 degrees
Because angle DOE is vertically opposite to angle boa, it is also 40 degrees. we know that angle DOF is 120, so angle FOE is 120-40 = 80 degree, and angle BOC is vertically opposite do <em>it </em>is 80 degrees.
since angle COD lies on a straight line it adds up to 180 degrees, so 180- 120 = 60 degrees
