Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>
The first attachment shows the coefficient matrix and its determinant.
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<h3>solution</h3>
The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

This multiplication is shown in the second attachment. It tells us ...
![\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctextbf%7BX%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C4%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
Answer is B hope it helps
Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.
18 * 2 = 36
36 * 2 = 72
There, it means that 18/2 will be subtracted from 20.
20 - 18/2
= 20 - 9
= 11
The next number in the sequence would be 11. Hope this helps!
3 3/4 is the mixed number for the fraction 15/4
hope this helps you
Answer:
A. 62.8 in.
Step-by-step explanation:
Circumference of a circle = πd
Diameter (d) = 20 in.
Substitute
Circumference = π × 20
Circumference = 62.8318531
Circumference = 62.8 in. (Approximated to nearest tenth)