-5, work backwards. you know 2 + 4 * ? = -18.
start by subtracting 2 from both sides giving you 4 * ? = -20.
now you divide 4 from both sides giving you ? = -5
i used ? to represent the missing number btw!!
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
Answer: Triangle A and Triangle C
The x axis is the horizontal flat axis (think of it as the ground). Reflect triangle A over this horizontal line and you end up with triangle C. The same can be said in reverse from C to A.
Answer:
EZ answer 9+10=21
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is given that
By cofactor expansion across the first row, we get
![\Delta=3\left[(-1)^{1+1}\begin{vmatrix}3&3\\4&-2\end{vmatrix}\right]+0\left[(-1)^{1+2}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{1+3}\begin{vmatrix}2&3\\0&4\end{vmatrix}\right]](https://tex.z-dn.net/?f=%5CDelta%3D3%5Cleft%5B%28-1%29%5E%7B1%2B1%7D%5Cbegin%7Bvmatrix%7D3%263%5C%5C4%26-2%5Cend%7Bvmatrix%7D%5Cright%5D%2B0%5Cleft%5B%28-1%29%5E%7B1%2B2%7D%5Cbegin%7Bvmatrix%7D2%263%5C%5C0%26-2%5Cend%7Bvmatrix%7D%5Cright%5D%2B3%5Cleft%5B%28-1%29%5E%7B1%2B3%7D%5Cbegin%7Bvmatrix%7D2%263%5C%5C0%264%5Cend%7Bvmatrix%7D%5Cright%5D)
![\Delta=3\left[-18\right]+0\left[(-1)(-4)\right]+3\left[8\right]](https://tex.z-dn.net/?f=%5CDelta%3D3%5Cleft%5B-18%5Cright%5D%2B0%5Cleft%5B%28-1%29%28-4%29%5Cright%5D%2B3%5Cleft%5B8%5Cright%5D)
Therefore, the value of determinant is -30.
By cofactor expansion across the second column, we get
![\Delta=0\left[(-1)^{2+1}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{2+2}\begin{vmatrix}3&3\\0&-2\end{vmatrix}\right]+4\left[(-1)^{3+2}\begin{vmatrix}3&3\\2&3\end{vmatrix}\right]](https://tex.z-dn.net/?f=%5CDelta%3D0%5Cleft%5B%28-1%29%5E%7B2%2B1%7D%5Cbegin%7Bvmatrix%7D2%263%5C%5C0%26-2%5Cend%7Bvmatrix%7D%5Cright%5D%2B3%5Cleft%5B%28-1%29%5E%7B2%2B2%7D%5Cbegin%7Bvmatrix%7D3%263%5C%5C0%26-2%5Cend%7Bvmatrix%7D%5Cright%5D%2B4%5Cleft%5B%28-1%29%5E%7B3%2B2%7D%5Cbegin%7Bvmatrix%7D3%263%5C%5C2%263%5Cend%7Bvmatrix%7D%5Cright%5D)
![\Delta=0\left[(-1)(-4)\right]+3\left[(-6)\right]+4\left[(-1)3\right]](https://tex.z-dn.net/?f=%5CDelta%3D0%5Cleft%5B%28-1%29%28-4%29%5Cright%5D%2B3%5Cleft%5B%28-6%29%5Cright%5D%2B4%5Cleft%5B%28-1%293%5Cright%5D)
Therefore, the value of determinant is -30.
