]Eigenvectors are found by the equation
implying that
. We then can write:
And:
Gives us the characteristic polynomial:
So, solving for each eigenvector subspace:
Gives us the system of equations:
Producing the subspace along the line
We can see then that 3 is the answer.
We need more detail to help with the problem.
1. There is a pattern. In figure 2, there were two toothpicks added.
2.Same thing with the pattern. you add three toothpicks in each figure.
Answer: -4x-34y-32
(I think this is right but I am not completely sure... if its not I am sorry :/ )
Step-by-step explanation:
First Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]
48(-2/24x-17/24y-2/3)
48(-1/12x-17/24y-2/3)
-4x-34y-32
Second Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
12x-16y-16x-18y-32
-4x-34y-32