Answer:
l=4
Step-by-step explanation:
l=A
w=8
2=4
Answer:
factors are any group of number or expressions which, when multiplied, produce another number or expression.
Basic example: 4 can be broken into 2 factors---2 and 2. 2 times 2 = 4
Example using an unknown:
2X + 6 = 2 * (X + 3)
In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.
So: 8X + 7 = 8 ( X + 7/8 )
The following would also be correct:
8X + 7 = 4 ( 2X + 7/4 )
Step-by-step explanation:
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
