So hmm notice the picture below
I've included the "far arc - near arc" equation to get the angle made by both tangents
now, if we make k = x, which is your case
and we make the "near arc" to "x", which is also the case
and then we make the "far arc" to say "b"
so using the "far arc - near arc" equation, we get that
Okay it’s the right answer
9514 1404 393
Answer:
- domain: all real numbers
- range: y ≥ 0
Step-by-step explanation:
The function is defined for all values of x, so its domain is all real numbers.
The function can produce values of f(x) that are 0 or greater, so its range is ...
y ≥ 0
You can either find the roots of the quadratic formula using the quadratic formula two find the halfway point or you can use the formula t=-b/2a. Both of the two methods gives you the axis of symmetry (the t value for the vertex).
I will use the second method since I don't like using the quadratic formula.
t=-32/(2x-16)
t=1 second
After you find the t value for the axis of symmetry, you plug it into the formula of the graph to find the height.
h=-16+32+14
h=30 feet