Product: side x side
sum: side + side + side + side
Answer:
34, 50
Step-by-step explanation:
An amount divide by 17: 34÷17=2
25 less than x: 50-25=25
Answer:
Bradford T. answered • 11/08/20. Tutor. 5 (6). Retired Engineer / Upper level math instructor ... You need to first subtract 4 from both sides of the equation and see if you ... (x +3/2)(x+1/2) = x2 + x/2 + 3x/2 + 3/4 = x2 + 2x + 3/4 = 0 --> 4x2 + 8x + 3 ... You can plug them back into your original question to check.
Step-by-step explanat
i hope this help
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
