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:
Step-by-step explanation:
We have two mixed numbers and are asked to multiply them together.
2 1/4 * 1 2/3
First we convert the mixed numbers into improper fractions to make it easier for us. So follow the MA rule.
Multiply the whole number by the denominator and add the numerator.
2 1/4 * 1 2/3
9/4 * 5/3
Now multiply across,
Now we need to convert this back into a mixed number.
So how many times does 45 go into 12?
3 times, and 3 are left.
Answer:
u = -4(w - 1) + 5
Step-by-step explanation:
u - 5 = -4(w - 1)
add 5 to both sides
u = -4(w - 1) + 5
Answer:
m<r =75
PS=2.1 cm
Step-by-step explanation:
they are equal so you should be able to figure it out eventually
