Answer:
A and C
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
Answer:
-0.75
Step-by-step explanation:
There's a 25 percent chance that both of them land on an odd number.
Answer:
The answer to your question is the third choice.
Step-by-step explanation:
a) 6x - 5y = 8
12x - 10y = 16
We observe that these lines are the same so they have infinite solutions.
b)
7x + 2y = 6
14x + 4y = 16
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
c)
8x - 3y = 10
16x - 6y = 22
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
d)
9x + 6y = 14
18x + 12y = 26
These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.
Answer:
![m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right]](https://tex.z-dn.net/?f=m%20%5Ctimes%20H%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D%5Cboxed%7B-9%7D%20%26%20%5Cboxed%7B36%7D%20%26%20%5Cboxed%7B-%5Cdfrac%7B9%7D%7B2%7D%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
<u>Calculate the value of m</u>
Given:
![3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]](https://tex.z-dn.net/?f=3%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%7D-1%20%26%202%20%5C%5C4%20%26%208%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B2%7D%7B3%7Dm%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%7D-1%20%26%202%20%5C%5C4%20%26%208%5Cend%7Barray%7D%5Cright%5D)
Therefore:
<u>Calculate the value of H</u>
Given:
![\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)](https://tex.z-dn.net/?f=%5Cleft%28H%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D1%20%26%204%20%26%20-2%5Cend%7Barray%7D%5Cright%5D%5Cright%29%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D3%20%26%202%20%26%20-6%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D-2%20%26%208%20%26%20-1%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D1%20%26%204%20%26%20-2%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D3%20%26%202%20%26%20-6%5Cend%7Barray%7D%5Cright%5D%5Cright%29)
Therefore:
![\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]](https://tex.z-dn.net/?f=%5Cimplies%20H%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D-2%20%26%208%20%26%20-1%5Cend%7Barray%7D%5Cright%5D)
<u />
<u>Calculating m × H</u>
<u />
<u />![\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Ctimes%20H%3D%5Cdfrac%7B9%7D%7B2%7D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D-2%20%26%208%20%26%20-1%5Cend%7Barray%7D%5Cright%5D)
<u />![\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right]](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Ctimes%20H%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D%5Cdfrac%7B9%7D%7B2%7D%28-2%29%20%26%20%5Cdfrac%7B9%7D%7B2%7D%288%29%20%26%20%5Cdfrac%7B9%7D%7B2%7D%28-1%29%5Cend%7Barray%7D%5Cright%5D)
![\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right]](https://tex.z-dn.net/?f=%5Cimplies%20m%20%5Ctimes%20H%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%20c%20c%7D-9%20%26%2036%20%26%20-%5Cdfrac%7B9%7D%7B2%7D%5Cend%7Barray%7D%5Cright%5D)
<u />
