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SVETLANKA909090 [29]
3 years ago
14

The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente

d in the graph?

Mathematics
1 answer:
diamong [38]3 years ago
3 0

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

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Answer:

ok

Step-by-step explanation:

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3 years ago
What is the question?
max2010maxim [7]

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate <em>y</em>

5y = 20

y = 4

Step 6: Find <em>x</em>

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E%7B-2%7D%20%7D%7Bb%5E%7B4%7D%20%7D" id="TexFormula1" title="\frac{b^{-2} }{b^{4}
MAXImum [283]

Answer: \frac{1}{b^6}   or b^{-6}  

Step-by-step explanation:

\frac{b^-2+2}{b^4+2}   Add the exponent two to both sides.  After adding -2 and     2 you get 0 and any number raised to the zero power is one. And 4 plus two is 6

\frac{b^0}{b^6}   = \frac{1}{b^6}

3 0
3 years ago
Solve for x and explain how I show work
DaniilM [7]

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180  

2x - 20 = 180

<u>    + 20    +20</u>

2x = 200

x = 200/2

x = 100

3 0
3 years ago
Find f ( - 3 ) for the function below.<br><br> { ( - 3, 2 ), ( - 1, 0 ), ( 1, 1 ), ( 3, - 3 ) }
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Question

Comment

The f(x) notation means that were ever you see n x on the right you put the value of x.  

The question is which point has x = - 3 and what is the associated y value?

You could do it this way, just so you understand it.

<h2>X                        Y</h2>

=========================

-3                                      2       <======

-1                                       0

1                                         1

3                                        -3

The answer must be the first one

6 0
2 years ago
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