Answer:
maximum height is 4.058 metres
Time in air = 0.033 second
Step-by-step explanation:
Given that the equation height h
h = -212t^2 + 7t + 4
What is the toy's maximum height?
Let us assume that the equation is a perfect parabola
Time t at Maximum height will be
t = -b/2a
Where b = 7 and a = - 212
t = -7/ - 212 ×2
t = 7/ 424 = 0.0165s
Substitute t in the main equation
h = - 212(7/424)^2 + 7(7/424) + 4
h = - 0.05778 + 0.115567 + 4
h = 4.058 metres
Therefore the maximum height is 4.058 metres
How long is the toy in the air?
The object will go up and return to the ground.
At ground level, h = 0
-212t^2 + 7t + 4 = 0
212t^2 - 7t - 4 = 0
You can factorize the above equation and pick the positive time t since time can't be negative
Or
Since we have assumed that it's a perfect parabola,
Total time in air = (-b/2a) × 2
Time in air = 0.0165 × 2 = 0.033 s
Answer: 576 inches or 48 feet
Step-by-step explanation:
set up a proportion where ![\frac{drawing AB}{actual AB} =\frac{drawing perimeter}{actual perimeter}](https://tex.z-dn.net/?f=%5Cfrac%7Bdrawing%20AB%7D%7Bactual%20AB%7D%20%3D%5Cfrac%7Bdrawing%20perimeter%7D%7Bactual%20perimeter%7D)
so you get drawingAB = 24 in
actualAB = 18 feet = 18 * 12 in = 216 in
drawing perimeter = 64 in
so plug these in to get![\frac{24}{216} =\frac{64}{actual perimeter}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B216%7D%20%3D%5Cfrac%7B64%7D%7Bactual%20perimeter%7D)
rearrange to get ![actual perimeter = \frac{216 * 64}{24}](https://tex.z-dn.net/?f=actual%20perimeter%20%3D%20%5Cfrac%7B216%20%2A%2064%7D%7B24%7D)
and solve to get 576 inches or 576/12 = 48 feet
Answer: the Second one
Step-by-step explanation:
Hope this helps you
Answer:
Connect the dots, just label them on the graph and draw a line almost like connecting the dots
<span><span>x > -3 Hopefully this helps!</span></span>