Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5
Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3
Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular
Answer: Neither (not parallel; not perpendicular)
Step-by-step explanation:
4v+6=2(2y+3)
4v+6=4y+6
-4. -4
6=6
Answer:
247.12 million
Step-by-step explanation:
Given:
In 1990, population=242 million
In 1999, population=244 million
estimated population in 2013=?
Estimated growth is calculated by:
P(t)= Po*e^(kt)
where Po is original population
k is growth rate
t is the time in year
Now putting the values of Po=242, P(t)=244, t=9 (t=1999-1990=9) we have:
244=242e^(9k)
(244/242)=e^(9k)
ln(244/242)=9k
k=1/9ln(244/242)
k=0.00091
Now Putting k=0.00091, Po=242, and t=23 (t=2013-1990=23) we have:
P(t)=242e^(23*0.00091)
P(t)=247.12 million
the population in 2013 estimated to be 247.12 million!
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the following equation given in the problem above:
2. Then, you need to solve for 
, as you can see in the following steps:
3. Therefore, as you can see, the value of is:
