Answer:
0
Step-by-step explanation:
So we have the two functions:

And we want to find:

This is the same as:

So, let's find f(1) and g(1):

Square:

Subtract:


Evaluate:

So:

Multiply:

So, our answer is 0.
And we're done!
Answer:
Option 1: 
Step-by-step explanation:
Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.
Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.
Plug this into point-slope form: 


Answer:
D: (1,5) Apex
Step-by-step explanation:
let's firstly convert the mixed fraction to improper fraction, and then divide.
![\bf \stackrel{mixed}{11\frac{1}{2}}\implies \cfrac{11\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{23}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{2}\div \cfrac{3}{4}\implies \cfrac{23}{2}\cdot \cfrac{4}{3}\implies \cfrac{23}{3}\cdot \cfrac{4}{2}\implies \cfrac{23}{3}\cdot 2\implies \cfrac{46}{3}\implies 15\frac{1}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B11%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B11%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B23%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B23%7D%7B3%7D%5Ccdot%202%5Cimplies%20%5Ccfrac%7B46%7D%7B3%7D%5Cimplies%2015%5Cfrac%7B1%7D%7B3%7D)
(a+b) + c = a + (b + c)
re-arrange the numbers - associative property of addition
Answer
Associative property of addition