The path of the ball is an illustration of absolute equation.
The equation of the path is:
The given parameters are:
--- the vertex (i.e. the point where the ball hits the wall)
An absolute function is represented as:
Substitute
Substitute for x and y
Remove absolute bracket
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the path is:
See attachment for graph that models the path
Read more about absolute equations at:
brainly.com/question/2166748
Answer:
78
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define Expression</u>
(2⁵ + 14 ÷ 2) · 2
<u>Step 2: Evaluate</u>
- [Parenthesis] Exponents: (32 + 14 ÷ 2) · 2
- [Parenthesis] Divide: (32 + 7) · 2
- [Parenthesis] Add: 39 · 2
- Multiply: 78
3x + 4y = - 8
The equation of a line in standard form is Ax + By = C
where A is a positive integer and B, C are integers
Express the line in ' slope- intercept form '
y = mx + c → (m is the slope and c is the y-intercept)
here m = - and c = - 2
hence y = - x - 2 → equation in slope- intercept form
multiply all terms by 4
4y = - 3x - 8
add 3x to both sides
3x + 4y = - 8 → in standard form