Absolute Value Equations are equations that look like this:
I x + 5 I = 15
They have 2 solutions almost all the time. To solve this equation we do this:
x+5=15 x+5=-15
Then you solve them:
x+5=15 x+5=-15
x=15-5 x=-15-5
x=10 x=-20
The solutions would be x=10 and x=-20 .
In some cases, you only have one solution:
I x + 5 I = 0
0 cannot be negative, so we only have one equation to solve:
x+5=0
x=0-5
x=-5
The one solution would be x=-5 .
In some OTHER cases, you have no solution. This happens when the absolute value equation equals to a negative number:
I x + 5 I =-10
Absolute value solutions are always going to end up positive because absolute value turns the number, negative or positive, into a positive.
Answer:
I say look it up
Step-by-step explanation:
that may help a little sorry I wasn't any help
Without knowing anything about the sequence, this is impossible to answer. But suppose the sequence is arithmetic, in which case each term differs by some constant 
:
Then we can write
and from the formula above, we see this means the 10th term in the sequence is 
. But that's all the specific info we can gather about such an arithmetic sequence. If we set the first term to be some unknown 
, then the sum of the first 19 terms in the sequence would be
If we knew one more term in the sequence, we could determine the value of and derive the value of 
(if the first term 
is not immediately given), and then go on to find an exact numeric value for the sum.
First, you would have to plug 3 into the equation
15-(3)/9-(3)
Then do the math
12/6
This can be simplified, since 12 and 6 are divisible by 6, which is their greatest common factor
2/1
So the answer is D. 2
Hope this helps!
Answer: 
Step-by-step explanation:
1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.
2. The equation given in the problem is written in Point-slope form:
Where m is the slope.
3. Therefore, the slope of its perpendicular line must be:
4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:
5. In slope intercept form is:
