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
_____
<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.
Mass = 100 g
Volume = 50 cm³
Density :
D = m / V
D = 100 / 50
D = 2 g/cm³
answer A
hope this helps!.
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6.008 can be written as =
▪️6008 / 100
▪️6008 / 100
= 3004 / 50
= 1502 / 25
= 1502 / 25 in mixed fraction .
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That’s it...
A. x²-14x+49; is a polynomial
Step-by-step explanation:
(x-7)² can be written as (x-7)(x-7)
Expanding the expression
x(x-7)-7(x-7)
x²-7x-7x+49
x²-14x+49 ⇒⇒A quadratic function, which is a polynomial of degree 2
This function demonstrates the closer property of multiplication in that the change in order of multiplication does not change the product. This is called commutative property.
(x-7)(x-7)
-7(x-7)+x(x-7)
-7x+49+x²-7x
x²-14x+49
Learn More
Polynomials :brainly.com/question/9601478
Keywords : product, closure property of multiplication,
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The negative sign show the change in direction, that is the opposite side of the value.
In the number line, 1 is the opposite of -1, that is the digit from the left side is the opposite value of the right side.
Consider an object P is moving in positive x direction than on moving the object into its opposite direction, it will move along the negative x axis.
Answer : A) -
