Answer: Parallel
Step-by-step explanation:
Answer:
i don't understand anything what grade are you in
Step-by-step explanation:
Answer:
They represent the rise and run of the graph.
Step-by-step explanation:
The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)
The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).
The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.
Answer:
Option D
Step-by-step explanation:
We are given the following equations -
![\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-5x-12y-43z%3D-136%5C%5C%20-4x-14y-52z%3D-146%5C%5C%2021x%2B72y%2B267z%3D756%5Cend%7Bbmatrix%7D)
It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -
First, I swapped the first and third rows.
Leading coefficient of row 2 canceled.
The start value of row 3 was canceled.
Matrix rows 2 and 3 were swapped.
Leading coefficient in row 3 was canceled.
![\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D21%2672%26267%26756%5C%5C%200%26%5Cfrac%7B36%7D%7B7%7D%26%5Cfrac%7B144%7D%7B7%7D%2644%5C%5C%200%260%260%26%5Cfrac%7B4%7D%7B9%7D%5Cend%7Bbmatrix%7D)
And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -
![\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%260%26-1%260%5C%5C%200%261%264%260%5C%5C%200%260%260%261%5Cend%7Bbmatrix%7D)
The positioning of the zeros indicated that there was no solution!
<u><em>Hope that helps!</em></u>
i think the answer is 76.68