Answer: 3
Step-by-step explanation: Substitute the value of the variable into the equation and simplify.
Solution in the attachment.
![\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|](https://tex.z-dn.net/?f=%20%5Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%26-3%5C%5C5%26-6%261%5C%5C0%262%26-1%5Cend%7Barray%7D%5Cright%5D%3D4%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-6%261%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%7C-2%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C0%26-1%5Cend%7Barray%7D%5Cright%7C-3%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%26-6%5C%5C0%262%5Cend%7Barray%7D%5Cright%7C%20)
Answer:
20 cm
Step-by-step explanation:
Since the diagonals have to be prime numbers, and they have to be able to be sides of a triangle, the formula would be 6<x<16. The prime numbers in this group are 7, 11, and 13. Since 7 is the smallest prime number in this group and 13 is the largest, 7+13=20.
There are 3 pictures of the steps.
x = 2
y = -3
