Using S = ut + 1/2gt², from rest, u = 0
S = 1/2gt², g ≈ 9.8 m/s²
S = <span>1/2 *9.8*3²
</span>S = 0.5<span> *9.8*3*3
</span>
<span>S ≈ 44.1 m</span>
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
Answer:
Answer is 2a + 8 because 2 times a is 2a and 2 times 4 is 8
Slope-intercept form is

, where m is the slope and b is the y-intercept.
Here, we first need to distribute the 1/3.

Next, we add 3 to both sides of the equation.
9514 1404 393
Answer:
y = -2/5x +36/5 . . . . . slope-intercept form
2x +5y = 36 . . . . . . . . standard form
Step-by-step explanation:
You can use the 2-point form of the equation of a line to find it.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (4 -6)/(8 -3)(x -3) +6
y = -2/5(x -3) +6
y = -2/5x +36/5 . . . . slope-intercept form
2x +5y = 36 . . . . . . . standard form