Consider the system of inequalities
![\left\{ \begin{array}{l} y\ge 2 \\ x\le 6 \\ y\le 3x+2 \\ y\le -x+10. \end{array}\right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bl%7D%20%20y%5Cge%202%20%5C%5C%20%20x%5Cle%206%20%5C%5C%20%20y%5Cle%203x%2B2%20%5C%5C%20%20y%5Cle%20-x%2B10.%20%5Cend%7Barray%7D%5Cright.%20)
1. Plot all lines that are determined by equalities (see attached diagram)
![\left\{ \begin{array}{l} y=2 \text{ (red line)} \\ x= 6 \text{ (blue line)}\\ y=3x+2 \text{ (green line)} \\ y= -x+10 \text{ (orange line)}. \end{array}\right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bl%7D%20%20y%3D2%20%5Ctext%7B%20%28red%20line%29%7D%20%5C%5C%20%20x%3D%206%20%20%5Ctext%7B%20%28blue%20line%29%7D%5C%5C%20%20y%3D3x%2B2%20%5Ctext%7B%20%28green%20line%29%7D%20%5C%5C%20%20y%3D%20-x%2B10%20%20%5Ctext%7B%20%28orange%20line%29%7D.%20%5Cend%7Barray%7D%5Cright.%20)
2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
Parallel lines<span> are coplanar </span>lines<span> that do not intersect</span>
When you rotate the ef counter lock 180 degrees, the new line e'f' will have the same length as ef.
Answer:
5:17pm
Step-by-step explanation:
So, what I did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9 month total cost of $327. Hope from here you are able to set up your equation now you have all the information needed :)