For this case we have to by definition:
If two lines are parallel then their slopes are equal.
If two lines are perpendicular then the product of their slopes is equal to -1.
We have the following equations:
We manipulate the equation to convert it into the slope-intersection form 
Where:
m: It's the slope
y: It is the cut-off point with the y axis.
So:
From the second equation given we have:
We manipulate:
It is observed that the slopes are equal, so the lines are parallel,
ANswer:
The lines are parallel.
Step by step explanation:
You first subtract z on both sides of the equal sign
ax-bx=(z-y)
Since a and b both have a "x" you can subtract them
(a-b)x=(z-y)
then you divide "x" on both sides of the equal sign
Answer:
5.1 days
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula
here N(0) is initial amount of substance
t is time in days
Plug values in the formula
1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t})
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
Please include the following items
The -2 at the end means that while the x remains constant, the y will be smaller - it shifts it 2 units down
the other change is that it's x+4 now, not x, and this shifts the graph left. (the value of function is now the same as previously when x was smaller)
the answer is B!
