Solve for x in the second equation.
Just add 1 to both sides to get x = 9y + 1
Then plug 9y + 1 into the first equation for x
7(9y+1) - 9y = 1
63y + 7 - 9y = 1
54y + 7 = 1
54y = -6
y = -6/54 or -1/9
Plug y back into one of the equations to get x = 0
Answer: (0, -1/9)
The graph is wrong, the slope is correct but because the sign is less than y that means the line on the graph should be dotted not solid.
The area is:
A = x * y
The perimeter is:
P = 2x + 2y = 100
We clear y:
2y = 100-2x
y = 50-x
We write the area in terms of x:
A (x) = x * (50-x)
Rewriting:
A (x) = 50x-x ^ 2
Deriving:
A '(x) = 50-2x
We equal zero and clear x:
50-2x = 0
x = 50/2
x = 25
Then, the other dimension is given by:
y = 50-x
y = 50-25
y = 25
Therefore, the largest area is:
A = (25) * (25)
A = 625 feet ^ 2
Answer:
the largest area you can enclose using the materials you have is:
A = 625 feet ^ 2
Answer: C
Step-by-step explanation:
You can split the hexagon into 6 triangles. To do so, connect opposite vertices.