The maximum area that can be enclosed is 64 ft². To achieve the largest area while minimizing the perimeter, the dimensions should be as equal as possible. Allocating 32 feet of fencing for four sides gives us 8 feet per side, resulting in a square with a side length of 8; thus, the area equals 8*8 = 64.
Response:
A quadratic equation has solutions of 6 and -2.
Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).
Thus, the equation can be represented as
(X - 6)(X + 2) = 0
⇒
If the leading coefficient is 3, we can express the equation as
(Response)
Answer:
To express the ratio of a number x with four plus two, you can set up the equation:
= 4x + 2 = 0
= 4x = -2
= x = -2/4 = -1/2
Step-by-step explanation:
I hope this helps!
a) The area of a rectangle is calculated by multiplying the length by the width:
A = l·w
This formula allows us to express the width in terms of area and length. By dividing A by l, we find
A/l = w
We also recognize that the perimeter of a rectangle is the total length around it.
P = l + w + l + w
P = 2(l + w)
We aim to rewrite the perimeter formula to isolate l on one side, using the expression for w derived earlier.
P = 2(l + A/l)
By substituting the known value for A, we can express p(l) as
p(l) = 2(l + 25/l)
p(l) = 2l + 50/l
b) For lengths exceeding widths, we have
l > w
l > A/l
l² > A
l > √A
l > √25
This indicates that the domain of p(l) is
l ∈ (5, ∞)..... meters
I believe the answer should be 14 inches
