Simplifying
a + 5 = -5a + 5
Reorder the terms:
5 + a = -5a + 5
Reorder the terms:
5 + a = 5 + -5a
Add '-5' to each side of the equation.
5 + -5 + a = 5 + -5 + -5a
Combine like terms: 5 + -5 = 0
0 + a = 5 + -5 + -5a
a = 5 + -5 + -5a
Combine like terms: 5 + -5 = 0
a = 0 + -5a
a = -5a
Solving
a = -5a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '5a' to each side of the equation.
a + 5a = -5a + 5a
Combine like terms: a + 5a = 6a
6a = -5a + 5a
Combine like terms: -5a + 5a = 0
6a = 0
Divide each side by '6'.
a = 0
Simplifying
a = 0
Answer: 9/7
Step-by-step explanation:
(7/9)^-1 means you have to find the reciprocal, which is 9/7
The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:

<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Rocio drops a ball from a height of 4 meters, hence A(0) = 4.
- Each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, hence 1 - r = 0.79.
Thus, the equation is given by:

More can be learned about exponential equations at brainly.com/question/25537936
Answer:
Area of part 1: 3 *
= 
Area of part 2: 

Area of entire rectangle: 
Step-by-step explanation:
The area of a rectangle can be found by using formula : length * width.
The area of part 1 can be simplified to this:
3 *
= 
Area of part 2:


The area of the entire rectangle can simply be added from part 1 and part 2.
For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.