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:
Chelsey can be a member of the fitness club for <u>10</u> months.
Step-by-step explanation:
Given:
Chelsey wants to join a fitness club.
The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.
She has $250 to spend on a membership at the fitness club.
Now, to find the number of months Chelsey can be a member of the fitness club.
Let the number of months Chelsey can be a member of the fitness club be 
Monthly fee = $19.50.
Membership fee = $55.
Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:


<em>Subtracting both sides by 55 we get:</em>

<em>Dividing both sides by 19.50 we get:</em>

Therefore, Chelsey can be a member of the fitness club for 10 months.
Answer:
0.012
Step-by-step explanation:
Answer:
You need to have a minimum of 16 inches of clearance.
Step-by-step explanation: