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Dmitry [639]
3 years ago
7

A figure is rotated and reflected. what can u say about the new figure in relation to the original figure?

Mathematics
1 answer:
mylen [45]3 years ago
8 0
The new figure is formed differently and is not the same as the other ome
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What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Mr. Layton needs to buy some oil for his central heating. He can put up to 2500 litres of oil in his oil tank. There are already
allochka39001 [22]

Answer:

Step-by-step explanation:

If the tank holds 2500 liters and there are already 750 liters in there, he only needs to buy 1750 liters.

If he is saving 6%, he is still spending 94%, so

.94(58.4) = 54.896 (what he'll be paying per liter after the 6% comes off, then

54.896(1750) = $96,068

4 0
3 years ago
99 times the sum of v and 9
pav-90 [236]
99 (v + 9) is the answer
8 0
3 years ago
Which number is between<br> 4 1/5<br> and 4.032
guapka [62]

Answer:

4.115

Step-by-step explanation:

The final answer will be 4.115

5 0
3 years ago
8 (x+8) = 100 - 13x how do i solve this?
patriot [66]

Answer:

x=1.714285714 or x=1.71

Step-by-step explanation:

Distribute 8 to x and 8 (8x+64)

Get rid of -13x on the other side of the equation by doing +13x to both sides.

That should leave you with 21x+64=100.

Subtract 64 from both sides of the equation.

21x=36

Divide 21 from both sides which will leave you with the answer as a long decimal so round it.

x=1.71

5 0
3 years ago
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