Answer:
Step-by-step explanation:
First, to find the original line, employ the slope formula.
The slope of your original line is .
Next, plug in your slope and the third point to the point-slope formula.
To find the line which is perpendicular to the line, take the opposite reciprocal of the slope.
To find the opposite, flip the sign. is negative, so it will become , which is positive.
To find the reciprocal, flip the fraction. would become .
Your slope for the perpendicular line is , so your line is:
The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.
You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).
Multiply each scale factor by the first set of given perimeter and area
As shown in the picture below
I got 7,499.
275+528+750+275+121+(0.03)*185000 = 7499
To explain, I added all the fees first and then took 3%, or 0.03, of 185000 for the commission. I finally added that as well to the original fees to get the final answer.
I hope this helped!
Jeff can run 2/3 of a mile per hour