The distance between points
and
can be calculated using formula

1.

2.

3.

Then

Answer: correct choice is C.
Answer:
Choice B
Step-by-step explanation:
Given radical expression:
![\sqrt[4]{1296 {x}^{16} {y}^{12} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B1296%20%7Bx%7D%5E%7B16%7D%20%20%7By%7D%5E%7B12%7D%20%7D%20)
To Find:
The Simpler form of this expression
Soln:
![= \sqrt[4]{1296 {x}^{16} {y}^{12} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B4%5D%7B1296%20%7Bx%7D%5E%7B16%7D%20%20%7By%7D%5E%7B12%7D%20%7D%20)
We could re-write the given expression, according to the law of exponents:
![= \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Csqrt%5B4%5D%7B%286x%20%7B%7D%5E%7B4%7Dy%20%7B%7D%5E%7B3%7D%29%20%20%7B%7D%5E%7B4%7D%20%20%7D%20)
Now we need to bring terms out of the radical as:

Bring out 6x^4 from the absolute & put y^3 only in it:

Choice B is accurate.
Given:
The formula for total cost is

where, p is the price of item and s is the sales tax rate (as a percent).
You pay $14.77 for an item priced at $14.
To find:
The the tax rate.
Solution:
You pay $14.77 for an item priced at $14. So,
Total cost (T) = $14.77
Price of item (p) = $14
Putting T=14.77 and p=14 in given formula, we get



Multiply both sides by 100.

Divide both sides by 14.


Therefore, the tax rate is 5.5%.
Answer:
|x-5|=2
Step-by-step explanation:
1- Find the mid value between the given numbers 3 and 7
(3+7)/2= 10/2 = 5
2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.
|5-3|= 2 or |7-5|=2
3- Arrange the absolute equation like this:
|x-mid value from step 1|= absolute difference from step 2
|x-5|=2
4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2
|3-5|=2 correct
|7-5|=2 correct
Answer:
Step-by-step explanation:
Is called a letter that stands for the number