What is the formula and slope of (18, -7) and (18, 2)
1 answer:
Answer:
Step-by-step explanation:
Coordinate points: (18, -7) and (18,2)
m= rise / run or
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
So your rise is...
2 - (-7)
and you run is...
18 -18
Rise = 9
Run = 0
Now, do you see the issue...
You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)
The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined
The line is vertical when this happens
*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line
0 divide by 9 is zero
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Answer: Maximum height = 105 feet
And, It takes 9/4 seconds to reach that point.
Step-by-step explanation:
Here the given function that shows the height of the pumpkin,
--------(1)
Where t is the time in second.
Differentiating equation (1) with respect to t,
We get,
Again differentiating above equation with respect to t,
We get,
For maximum or minimum,
At t = 9/4 , h''(t) = Negative value,
Therefore, At t = 9/4 seconds, h(t) is maximum,
And, the maximum value is,
Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds