Answer:its is a line that intersects another line at 45 degree angle
ex. lines with the slope of 2/3 and -3/2 are perpendicular cause they intersect leaving a 45 degree angle
Step-by-step explanation:
For this case we have the following variables:
x: number of hours that it takes Mr. David to complete a job working alone.
y: number of hours it takes Mr. Ludwing to complete a job working alone.
k: number of hours it takes for both of them to do a job working together.
We now write the equation that models the problem.
To do this, we must add the work rate per hour of each and equal to the rate of work per hour of both.

We have then:
Answer:
The algebraic expression that models the problem is:

Being simplified the answer is 30a^2b^3x^2.
Answer:
D
Step-by-step explanation:
First, let us figure out what is graphed and then manipulate each answer to try to match it.
The one with a positive slope is

The one with the negative slope is

Now that we have our graphed system of inequalities, we can try to match them to an answer.
A. while the x-2 is the same, the other does not have an x, so it cannot match.
B. The second inequality has the wrong sign, so it is impossible for this to be our answer.
C. When each of these are solved for y, you get
. Neither of these match so this cannot be correct.
D. When the first inequality is solved you get 
When the second inequality is solved you get 
As both of these answers match our graphed inequalities, D is the correct answer.