Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width=
Length =
Width = 
Answer: Choice A
The axis of symmetry for the function is x = 0.
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Explanation:
The vertex is on the axis of symmetry. Since the vertex is on the y axis, this means the y axis itself is the axis of symmetry. The y axis is represented by the equation x = 0. Every point on the y axis has an x coordinate of 0. Example points are (0,2) and (0,5).
This parabola may have 0 roots, 1 root, or 2 roots.
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular hexagon is just the length of one side multiplied with the number of sides. Since a hexagon has 6 sides,
P = 6(15) = 90in
A = 1/2 * 90 * 13
A = 585 square inches
Answer:
V = 270 cm³
Step-by-step explanation:
Remember your volume formula: V=<em>lwh</em>
So, plug in all your variables and multiply:
(6)(5)(9) = 270
And we have our final answer!
