The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
<span>The geese are required to make a 5000 meter journey. For every 500 meters they travel forward they are blown back 50 meters. Therefore rather than traveling forward 500 meters, they travel forward only 450 meters. Presumably this happens during the whole course of each section of the flight, so when they travel fractions of the distance they are blown back in the same proportion. Since each 450 meter gain requires 3 minutes, and it will take 11.11111 450 meter sections of flight, it will take 33.333333 minutes. Since they leave at 11:30, they will arrive at 12:03 and roughly twenty seconds.</span>
Answer:
44,55,000 cubic meters of treasure could fit the pyramid.
Step-by-step explanation:
We are given the following in the question:
Base measure = 450 meters
Height = 66 meters
The volume of the pyramid is given by:
where A is the ares of the base and H is the height of the pyramid.
Putting values, we get,
Thus, 4455000 cubic meters of treasure could fit the pyramid.
<span>Euclid is considered the father of Geometry.</span>
Answer:
I am pretty sure the answer is A.
