Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
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<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
The answer is. A) y=-4/5x-7
Just compare, and they will equal each other.
Draw up a right triangle to connect these two points with the line itself being the hypotenuse. Then use pythagorean theorem to solve for the hypotenuse
<span>X is the number of tacos needed to make $210.
3.25X greater than or equal to $210.
X greater than or equal to 210/3.25.
X greater than or equal to 64.6.
The stand needs to sell at least 65 tacos to make a profit. </span>
