Answer:
r
Step-by-step explanation:
10r - 9r = r
Answer:
Option B.
.
Step-by-step explanation:
The given expression is
In this expression we will simplify
first.
=![\frac{x+2}{x^{2}(x+2)-9(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7Bx%5E%7B2%7D%28x%2B2%29-9%28x%2B2%29%7D)
![=\frac{x+2}{(x+2)(x^{2}-9)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%2B2%7D%7B%28x%2B2%29%28x%5E%7B2%7D-9%29%7D)
![=\frac{1}{x^{2}-9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bx%5E%7B2%7D-9%7D)
Now we can rewrite the given expression as
![=\frac{1}{x^{2}-9}\div \frac{3x+1}{x^{2}-9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bx%5E%7B2%7D-9%7D%5Cdiv%20%5Cfrac%7B3x%2B1%7D%7Bx%5E%7B2%7D-9%7D)
![=\frac{1}{x^{2}-9}\times \frac{x^{2}-9}{3x+1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bx%5E%7B2%7D-9%7D%5Ctimes%20%5Cfrac%7Bx%5E%7B2%7D-9%7D%7B3x%2B1%7D)
![= \frac{1}{3x+1}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B3x%2B1%7D)
So option B.
is the right answer.
Answer: The total number of ways are 792 ways.
Explanation:
The total number of spots available is 7.
The total number of eligible candidate is 12.
To find the number of combinations we have a combination formula.
![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Where n is total number of of objects and r is the number of selected objects.
Since we have to select 7 spots from 12 candidates, therefore the total number of ways is calculated as shown below,
![^{12}C_7=\frac{12!}{7!(12-7)!}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%21%7D%7B7%21%2812-7%29%21%7D)
![^{12}C_7=\frac{12\times 11\times 10\times 9\times 8\times7!}{7!5!}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes7%21%7D%7B7%215%21%7D)
![^{12}C_7=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2\times 1}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%7D%7B5%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%201%7D)
![^{12}C_7=792](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D792)
Therefore, the total number of ways are 792 ways.
Answer:
just pick any answer
Step-by-step explanation:
dont blame me if its wrong tho :)
Answer:
88 cm.
Step-by-step explanation:
You have 11 peices of track. EACH track is 8 cm long. If you hear the word "EACH" you are multiplying.
All you do is multiply 8 and 11.