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:
n=-20
Step-by-step explanation:
First subtract four from both sides then you'll get
-4=n/5
Second multiply 5 to both sides then you'll get
n=-20
Answer: 19.20
Step-by-step explanation: What I did was figure out what 10% of 12 was (1.2) then multiplied it by 6 which was 7.2. Then I added that to 12 and got 19.2.
Let me know if this was helpful! :D
Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
Answer 10:
<em>X </em>= (5,0)
Answer 11:
<em>AB</em> = 11.18
Answer 12:
<em>N/A</em>
Step-by-step explanation: