Answer: β ≠ ±1
Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,
det
≠ 0
Determinant of a 3x3 matrix is calculated by:
det ![\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%261-%5Cbeta%5C%5C2%262%260%5C%5C2-2%5Cbeta%264%260%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%5C%5C2%262%5C%5C2-2%5Cbeta%264%5Cend%7Barray%7D%5Cright%5D)
![8(1-\beta)-[2(2-2\beta)(1-\beta)]](https://tex.z-dn.net/?f=8%281-%5Cbeta%29-%5B2%282-2%5Cbeta%29%281-%5Cbeta%29%5D)




β ≠ ±1
For the system to have only one solution, β ≠ 1 or β ≠ -1.
Answer:
the answer would be the equilibrium of 28.59295
Answer:
<em>The correct option is: 11.5</em>
Step-by-step explanation:
Suppose, the length of the unknown side is 
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and
.
As the given triangle is right angle triangle, so <u>using Pythagorean theorem</u>, we will get.........

<em>(Rounded to the nearest tenth)</em>
So, the length of the unknown side is 11.5
Answer:
3.6° = ext. angle
Step-by-step explanation:
For the shape to be a regular polygon, all interior angles must be congruent.
We can find every interior angle by using the formula:




176.4 = each int. angle
We also know that int. and ext. angles are supplementary!
180 = 176.4 - x
3.6° = ext. angle
The answer is A). 5*4=20 one fifth is 4.