From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
The formula for the volume of a rectangular prism is: l*w*h (length*width*height)
Since the Base area of a 3D figure is always the length times width of the bottom face, all we need to do to find the volume is multiply the Base area by the height.
173.6 (9) = 1562.4 cubic cm
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (0, 7)
Point (-3, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract:

- Simplify:

Answer:
8x - 10
Step-by-step explanation:
Combine like terms:
2x + 6x - 10
= 8x -10
Answer:
Straight
Step-by-step explanation:
If the angle is flat or 180 degrees, it is straight
If the angle is like an L or 90 degrees, it is right
If the angle is less than 90 degrees, it is acute
If the angle is more than 90 degrees, it is obtuse
Hope this helps!!