Answer:
Step-by-step explanation:
Note that
sin135° = sin(180 - 135)° = sin45° = = 
Answer:
y = 1
Step-by-step explanation:
6 = 2(y + 2)
6 = 2y + 4
-4 -4
------------------
2 = 2y
/2 /2
-----------------
1 = y
It's not too difficult!! your absolute value expression is already isolated, so now you have to set it up like this:
5v + 3 > -9
and
5v + 3 < 9 (opposite of original, flip inequality symbol)
this is because absolute value only tells you how many units away a number/expression is from 0 on a number line. it could go to the left, or the right--negative, or positive. so you have to allow for both equations
from there, just solve them like normal inequalities
5v + 3 > -9 ... subtract 3
5v > -12 ... divide by 5
v > - 12/5
5v + 3 < 9 ... subtract 3
5v < 6 ... divide by 5
v < 6/5
so, v must be greater than -12/5, and less than 6/5
The domain is the x-values of a function, which are also known as the input. When writing down the domain, you write the numbers from least to greatest. Therefore, the correct answer is A.
