The matrix is the reduced echelon matrix for a system with variables x1, x2, x3, and x4. Find the solution set of the system. (If the system has infinitely many solutions, express your answer in terms of k, where x1 = x1(k), x2 = x2(k), x3 = x3(k), and x4 = k. If the system is inconsistent, enter INCONSISTENT.)

1 0 0 0 | −1
0 1 0 0 | 2
0 0 1 0 | −4
0 0 0 1 | 0

(x1, x2, x3, x4) =

, , ,

x1 = -1, x2 = 2, x3 = -4, x4 = 0

If it wants everything in terms of what x4 equals then the system is inconsistent since x4=0

Step-by-step explanation:

Once you have it in that reduced row echelon form it's super easy.  

The first column is x1, second is x2 and so on.

The first row says x1 + 0x2 + 0x3 + 0x4 = -1, or in other words x1 = -1.  You can do this for all the rows.

this does mean that x4 = 0, so if the instructions are saying it wants everything n terms of x4, you can't do that so it is inconsistent.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it