ANSWER
The correct answer is 
.
<u>EXPLANATION</u>
We were given the matrix equation;
![\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%266%5C%5C-19%26m%2B3%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C16%26-8%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
We must first simplify the Left Hand Side of the equation by adding corresponding entries.
![\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%2B-1%266%2B0%5C%5C-19%2B16%26m%2B3-8%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
That is;
![\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-2%266%5C%5C-3%26m-5%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D)
.
Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.
This implies that;
We got this equation from row one-column one entry of both matrices.
Also, the row three-column three entries of both matrices will give us the equation;
Hence the correct answer is .
The correct option is option 2
Answer:
or 
Step-by-step explanation:
The given absolute value inequality is 
Divide both sides of the inequality by -2 and reverse the inequality sign:
By the definition of the absolute value function;
Either or 
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:
The eleventh term of an AP is written as:
If the 7th term is 11 times the 11th term, then;
Expand to get:
We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :
For the second case,
Answer:
I don't know
Step-by-step explanation:
thanks for the pints
Answer:
5
Step-by-step explanation:
You <em>multiply</em> the number of people by the number of each slices each person gets. Which is 100; 50x2.
Each cake has 20 slices so you <em>divide</em> 100 by 20. Which equals 5.
It would take 5 cakes to feed all 50 people 2 slices each.
<em>Hope this helps</em>. :)
