the maximum height of a ballon is 58 after 1 sec
Answer:
Point D: 
<em>d</em> = √41
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Pre-Calculus</u>
- Midpoint Formula [3D]:

- Distance Formula [3D]:

Step-by-step explanation:
<u>Step 1: Define</u>
Point A(1, 2, -1)
Point B(-3, -6, 2)
Point C(3, -2, 0)
<u>Step 2: Find Point D</u>
Simply plug in your coordinates B and C into the midpoint formula to find midpoint
- Substitute [MF]:

- Add/Subtract:

- Divide:

<u>Step 3: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates A and D into the distance formula to find distance <em>d</em>
- Substitute [DF]:

- Subtract/Add:

- Exponents:

- Add:

Answer:
![8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m]](https://tex.z-dn.net/?f=8p%20-%203n%20%2B%204q%20-9m%20%3D%204%5B2p%20%2B%20q%5D-%203%5Bn%20%2B3m%5D)
Step-by-step explanation:
Given

Required
The equivalent expression

Rewrite:

Group to 2
![8p - 3n + 4q -9m = [8p + 4q]- [3n +9m]](https://tex.z-dn.net/?f=8p%20-%203n%20%2B%204q%20-9m%20%3D%20%5B8p%20%2B%204q%5D-%20%5B3n%20%2B9m%5D)
Factorize each group
![8p - 3n + 4q -9m = 4[2p + q]- 3[n +3m]](https://tex.z-dn.net/?f=8p%20-%203n%20%2B%204q%20-9m%20%3D%204%5B2p%20%2B%20q%5D-%203%5Bn%20%2B3m%5D)
<em>Solved</em>
Answer:
12*x^18
Step-by-step explanation:
144=(2^4)*(3^2)
then
sqrt (144 x^36)=sqrt (144)*sqrt (x^36)
sqrt (144)=sqrt ((2^4)*(3^2))=2² * 3=12
sqrt (x^36) =x^(36/2)=x^18
therefore
sqrt (144 x^36)=sqrt (144)*sqrt (x^36)=12*x^18
the answer is 12*x^18
The answer would be 160in. Just multiply 20 x 8 (I think)