H(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Answer:
The output is 23
Step-by-step explanation:
we know that
f(x) ----> is the output
x ----> is the input
we have that
f(x)=3x-1
For x=8 (input)
Find the value of f(x) (output)
f(8)=3(8)-1=23
The output is 23
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:

Then, the equation is of the form:

We substitute the point
and find "b":

Finally, the equation is:

To graph we place the points
and
on the coordinate axis and join the points by a line.
ANswer:

The graphic is attached.
The formula for area is base*height. a square is the same length on each side, so you would do 17*17= your answer
hope that helps!