To solve this exercise you must follow the proccedure below:
a) Find the maximum height of the tennis ball:
You have that the path of the ball can be represented by h=-16t²<span>+18t+5. Then:
t=-b/2a
t=-18/2(-16)
t=0.562
</span>
h=-16t²+18t+5
h=-16(0.562)²+18(0.562)+5
h=10.06
b) How long will it take to reach the ground?
h=-16t²+18t+5
h=0
-16t²+18t+5=0
You must apply the quadratic equation:
t=(-b±√(b^2-4ac))/2a
a=-16
b=18
c=5
When you substitute the values, you obtain:
t=1.35
Honestly, nothing further can be done because the expression can't be factored over rational numbers, so it just remains as is: x² + 24.
Answer:
x^2 - 5x + 5
Step-by-step explanation:
<u>Step 1: Distribute</u>
5 - x(5 - x)
5 - 5x + x^2
x^2 - 5x + 5
Answer: x^2 - 5x + 5
Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V =
× π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V =
× 3.14 × r² × h.
8,138.88 =
× 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!