Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function 
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula 
, we will find the x-coordinate of vertex of parabola as:
Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer: Option c.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
Solve for "y" in order to write in Slope-Intercept form:
Now you can identify that that the slope and the y-intercept are:
A posive slope means that the the line moves upward from left to right.
With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.
Remember y=mx+b
Since y=2 that means it is a horizontal line at 2 on the y axis which means it does not have a slope. The slope would be zero.
Answer:
sqrt(98) aka 
Step-by-step explanation:
To find the third side we need to use the Pythagorean theorem (a^2 + b^2 = c^2) so let 3 = a and b = sqrt(89) so a^2 = 9 and for b^2 just ignore the square root so b^2 = 89 then we add 9 and 89 89 + 9 = 98 so c^2 = 98 then we do the square root of 98 since the square root of 98 isn't a whole number/ has a decimal we just leave it written as sqrt(98)
