Answer:
ian just wasted the last bit of coffee.
Step-by-step explanation:
The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204
The length of one step is 21 inches
Let x = length of one step
Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:
x = (113 inches - 8 inches) / Number of steps
x = (113 inches - 8 inches) / 5
x = 105 inches/5
x= 21 inches
In conclusion, the length of one step is 21 inches
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Let the middle number = X
Smallest number = X-2
Largest number = X +2
Add together:
X + X-2 + X+2 = 114
3X = 114
Divide both sides by 3:
X = 114/3
X = 38
Smallest number = X-2 = 38 -2 = 36
Answer:
The answer is D 1/2 (-1/2-(-1))=1/2
