W=width of the pasture, and
<span>320000/w=length (parallel to river) </span>
<span>F=twice width + length </span>
<span>=2w + 320000/w </span>
<span>Find derivative of F with respect to w and equate to zero to find w. </span>
<span>i.e. </span>
<span>Solve for w in </span>
<span>dF/dw=0
hope it helps</span>
Answer:
see explanation
Step-by-step explanation:
A
25x² - 40x + 16 ← is a perfect square of the form
(ax - b)² = a²x² - 2abx + b²
Comparing the coefficients of like terms in the 2 expressions
a² = 25 ⇒ a = 5, b² = 16 ⇒ b = 4
and 2 × 5 × 4 = 40, thus
25x² - 40x + 16 = (5x - 4)²
The side of the square = 5x - 4
B
25x² - 16y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
25x² - 16y²
= (5x)² - (4y)² = (5x - 4y)(5x + 4y)
Dimensions of rectangle are 5x - 4 and 5x + 4
Answer:
Natalie got 3, Veronica got 9.
Step-by-step explanation:
N = Natalie
If Veronica got 3 times as many as Natalie, then she got 3N.
Add them together:
N + 3N = 12
4N = 12
N = 3
Therefore,
Natalie got 3 (N = 3)
Veronica got 9 (3N = 3 x 3 = 9)
