So we are given an initial equation of:
.
We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially
, we are going to flip it to make it
and change the sign to make it
.
So now we know that the slope of the perpendicular line is
, we can start a new equation for this line:

We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:

Then solve for b:


So then we plug in our value for b and leave x and y:

So this equation now represents the new path.
Answer:
Step-by-step explanation:
Let number of songs are played in a commercial be a
number of songs are played in a movie be b
Adrian earned a total of $1010 -> a*40 + b*130 = 1010 (1)
14 commercials and movies -> a+b = 14 (2)
(1) - (2)*40 = a*40 + b*130 - a*40 -b*40 = 1010 -14*40
-> b*90 = 450
-> b = 5
-> a = 14-5 = 9
Answer:2,3 hope it help you
Step-by-step explanation:
Answer:
If your question is set up like this
then your answer is No solution.
If your question is set up like this
then your answer is
or x = 0.765
Hope this helps!