The matrix equation that represents this situation is
![\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right]*\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}13.50\\16.50\\14.00\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%260%5C%5C1%260%264%5C%5C3%261%261%5Cend%7Barray%7D%5Cright%5D%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13.50%5C%5C16.50%5C%5C14.00%5Cend%7Barray%7D%5Cright%5D%20)
Use technology to find the inverse of matrix A:
![A^{-1}= \left[\begin{array}{ccc}-\frac{2}{5}&-\frac{1}{5}&\frac{4}{5}\\ \frac{11}{10}&\frac{3}{10}&-\frac{6}{5}\\\frac{1}{10}&\frac{3}{10}&-\frac{1}{5}\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Cfrac%7B2%7D%7B5%7D%26-%5Cfrac%7B1%7D%7B5%7D%26%5Cfrac%7B4%7D%7B5%7D%5C%5C%0A%5Cfrac%7B11%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B6%7D%7B5%7D%5C%5C%5Cfrac%7B1%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B1%7D%7B5%7D%5Cend%7Barray%7D%5Cright%5D%20)
Multiplying A inverse by B, we get the solution matrix
[tex]\left[\begin{array}{ccc}2.50\\3\\3.50\end{array}\right][\tex]
Answer:
The U.S. has a population of 319.4 million . So it shares 4.4 percent of the world's population.
Step-by-step explanation:
Answer:
∠ZVW= 45
∠ZWV = 31
x=1
Step-by-step explanation:
Properties of a Parallelogram ( including diagonals )
Diagonals of a parallelogram bisect each other.
The diagonals are cut into two equal parts
Opposite angles are congruent
Given this information we need to find x, ∠ZVW and ∠ ZWV
First lets find x
Like stated previously diagonals cut each other into two equal parts
That being said segment WZ ≅ segment ZY
Knowing this we create an equation
2z-1=1
step 1 add 1 to each side
-1 + 1 cancels out
1 + 1 = 2
now we have 2x = 2
step 2 divide each side by 2
2x/2=x
2/2=1
we're left with x = 1
Now lets find ∠ZVW
∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )
This means that because ∠ZXY = 45 ∠ZVW also = 45
Now lets find ∠ZWV
∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)
So because ∠XYZ = 31 ∠ZWV also = 31
Divided 30.5 by 2.833 then tell me what you get should be right.
Answer:
35,43,51,59,67
Step-by-step explanation:
Count by 8
