Find the exact area of the octagon. show your reasoning?
1 answer:
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Answer:
Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
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<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.
Answer:
Step-by-step explanation:
4 x 10^7 is 40000000
4 x 10^3 is 4000
We are told that 4x10^7 is something times as much as 4x10^3
So we will work backwards to find the answer,
If you divide 40000000 by 4000 you will get 10000
10000 is the same as 10^4