On this week's homework assignments, Lydia had scores of 85, 78, 92, 98, and 85. Which measure of central tendency would give Ly
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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the figure, the line goes through the following points:
We found the slope:
By definition, if two lines are perpendicular then the product of their slopes is -1:
Thus, the equation is of the form:
If the line goes through we have:
Finally, the equation is:
Algebraically manipulating we have:
Answer:
Option A
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by
The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:
Using the quadratic formula, the solution for our problem is
The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have
The root is
Then, the maximum height is
1029.99 meters above sea level.