Answer:
7/6
Step-by-step explanation:
Assuming the slope of line <em>d</em> is -6/7, the slope of perpendicular line <em>e</em> is ...
-1/(-6/7) = 7/6
_____
Perpendicular lines have slopes that are the negative reciprocals of each other.
No. We claim that
![1=0.\overline{9}](https://tex.z-dn.net/?f=1%3D0.%5Coverline%7B9%7D)
and use algebra to prove the statement.
Let
![x=0.\overline{9}](https://tex.z-dn.net/?f=x%3D0.%5Coverline%7B9%7D)
. Multiply this by ten to get
![10x=9.\overline{9}](https://tex.z-dn.net/?f=10x%3D9.%5Coverline%7B9%7D)
. Subtract the initial equation to give
![9x=9](https://tex.z-dn.net/?f=9x%3D9)
and divide by
![9](https://tex.z-dn.net/?f=9)
to see that
![x=1](https://tex.z-dn.net/?f=x%3D1)
. Substituting into the original equation gives
![1=0.\overline{9}](https://tex.z-dn.net/?f=1%3D0.%5Coverline%7B9%7D)
, proving the desired statement.
Answer: it is d becaues that is the mode