The matrix given is
![\left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%5C%5C1%264%5Cend%7Barray%7D%5Cright%5D%20)
To find determinant
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20)
we do

So, the determinant of the given matrix is
Let x be the length of third side.
12 + x > 13
x > 1-------------(1)
13 + x > 12
x > -1 ------------(2)
by combining (1) and (2)
we have x > -1
Answer:
1. 36
2. 5390
Step-by-step explanation:
1. V=1wh/3
4 x 3 x 9 = 108
108/3 = 36
2. V=lwh/3
22 x 21 x 35 = 16170
16170/3 = 5390
Answer:
Option The product of
is
is correct.
That is 
Step-by-step explanation:
Given expression is 
To find the product of the given expression :
( By using the distributive property each term in the factor is multiplied by each term in the another factor )
![=[-x(x^2)+(-x)(3x)+(-x)(-3)]+[4(x^2)+4(3x)+4(-3)]](https://tex.z-dn.net/?f=%3D%5B-x%28x%5E2%29%2B%28-x%29%283x%29%2B%28-x%29%28-3%29%5D%2B%5B4%28x%5E2%29%2B4%283x%29%2B4%28-3%29%5D)
( adding the like terms )

Therefore 
Therefore Option The product of
is
is correct.
That is 
0+x*7=14
X=2 is the correct answer