Answer: 1. Yes
Step-by-step explanation: They are paralell because they create a straight line and will never interscect each other
ANSWER
The correct answer is

EXPLANATION
The number

is a rational number.
Since the set of rational numbers is closed under addition, the number that should be added to

should also be a rational number in order to get another rational number.
This means that, if we add a rational number to an irrational number we get an irrational number.
The only rational number in the options provided is

We add it to

to get

Note that,

Hence the result is a rational number.
As for the remaining options,

are irrational numbers, so adding them to

will not produce a rational number.
The correct excluded value is 2.
Answer:
k determines how many units up or down the parent function will be translated.
Step-by-step explanation:
y=f(x)+k, where k>0 ——> the parent function will be translated up k units
y=f(x)+k, where k<0 ——> the parent function will be translated down k units
A.)7
B.)13
C)5.1
D.)7.6
E.)4.5
Hint: Use the distance formula!