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
The slope of BC is 
Step-by-step explanation:
Let us revise some notes about slopes of lines
- If two lines are parallel, then their slopes are equal
- If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is
∵ ABCD is a rectangle
∵ AB // CD
∴ The slope of AB = the slope of CD
∵ BC ⊥ AB
∴ The slope of BC × the slope of AB = -1
∵ The slope of AB = 
- To find the slope of BC reciprocal the slope of AB and reverse its sign
∴ The slope of BC =
The slope of BC is
Learn more:
You can learn more about the slope in brainly.com/question/9801816
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Answer:
80+50P
Step-by-step explanation:
80 is fixed
50 is variable
1 device = 130
2 decices = 180
Since 52% is the same as 52/100, we can multiply 875 by 52/100 in order to find the green buttons.
52/100(875) = 455
455 green marbles
