Answer:
A = 12
Step-by-step explanation:
First you need to get the length from the perimeter, the formula is l= p/2 - w
After using the formula, you would get 6 for length. The formula for the area of a rectangle is a = lw, so you would multiply 6 and 2 which would give you 12 as your answer.
I apologize if I made any grammar mistakes or if it is unclear.
Answer:
It depends on the equation.
If the bases are equal and the variables are only in the exponents, set the exponents equal.
If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.
Example 1:
![4^{2x + 5} = 4^9](https://tex.z-dn.net/?f=%204%5E%7B2x%20%2B%205%7D%20%3D%204%5E9%20)
Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.
2x + 5 = 9
2x = 4
x = 2
Example 2:
![3^{2x} = 9^{6}](https://tex.z-dn.net/?f=%203%5E%7B2x%7D%20%3D%209%5E%7B6%7D%20)
The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.
![3^{2x} = (3^2)^{6}](https://tex.z-dn.net/?f=%203%5E%7B2x%7D%20%3D%20%283%5E2%29%5E%7B6%7D%20)
![3^{2x} = 3^{12}](https://tex.z-dn.net/?f=%203%5E%7B2x%7D%20%3D%203%5E%7B12%7D%20)
Now you have equal bases, so the exponents must be equal.
2x = 12
x = 6
Example 3:
![10^{x + 2} = 9](https://tex.z-dn.net/?f=%2010%5E%7Bx%20%2B%202%7D%20%3D%209%20)
Here you can't make the bases equal, so you take the log of both sides and use laws of logs.
![\log(10^{x + 2}) = \log 3^2](https://tex.z-dn.net/?f=%20%5Clog%2810%5E%7Bx%20%2B%202%7D%29%20%3D%20%5Clog%203%5E2%20)
![(x + 2) \log 10 = 2 \log 3](https://tex.z-dn.net/?f=%20%28x%20%2B%202%29%20%5Clog%2010%20%3D%202%20%5Clog%203%20)
Recall that: ![\log 10 = 1](https://tex.z-dn.net/?f=%20%5Clog%2010%20%3D%201%20)
![x + 2 = 2 \log 3](https://tex.z-dn.net/?f=%20x%20%2B%202%20%3D%202%20%5Clog%203%20)
![x = 2 \log 3 - 2](https://tex.z-dn.net/?f=%20x%20%3D%202%20%5Clog%203%20-%202%20)
Answer: The answer would be 1.5
Step-by-step explanation: From 8-6 it is 10 hours. Then you go from 4 inches to 19 inches. So every 10 hours is 15 inches more of snow. If you divide 15 by 10 then it is 1.5
Answer:
John ate 20% of the cookies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the attached file