Well, if something is in-between the absolute value signs it is automatically positive no matter what. Therefore #19 is actually saying: 16-12 which is 4.
I hope this helps!
Answer:
G and F are the lines I guess? You have to use them to answer the rest of the questions.
23: √6.91, √49, 15/2, 7 1/8
( i will do the rest in the comments as i finish them)
Answer:
a) linear
Step-by-step explanation:
Linear keeps a steady pace throughout the function. in the graph, the function is decreasing by 0.5
Given:
Consider the equation is:

To prove:
by using the properties of logarithms.
Solution:
We have,

Taking left hand side (LHS), we get

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

Hence proved.