Part A
The function y = -16x^2 + c represents the height of the ball at time x
We're told the building is 64 ft tall (roughly 6 stories), so c = 64
That means the function updates to y = -16x^2 + 64
The graph is shown below. Some points of interest on the graph are
- (0, 64) ... y intercept
- (0.5, 60)
- (1, 48)
- (1.5, 28)
- (2, 0) ... x intercept
Plot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.
For example, if you plugged in say x = 1, then,
y = -16x^2 + 64
y = -16*1^2 + 64
y = -16 + 64
y = 48
Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.
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Part B
From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.
The ball hits the ground at 2 seconds (ie the ball is in the air for 2 seconds).
There's not much in terms of steps or explanation here because much of that was already done.
Parallel lines has equal slopes ii.e. slope of required line is 3.
Required equation is y + 1 = 3(x - 2) => y + 1 = 3x - 6
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
![\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B5%7D%3D%5Cfrac%7B6%7D%7B10%7D%5C%5Cr%3D%20%5Cfrac%7B6%7D%7B10%7D%20%5Ctimes%205%3D3~ft)
To convert the number to one that is 1 or greater and less than 10 we must multiply by 10,000. Therefore the converted number is as follows:
Answer:
For me
Step-by-step explanation:
I think it's part to whole because you are comparing holiday celebrated to total students