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malfutka [58]
3 years ago
14

Which of the following is the result of the equation below after completing

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

C

Step-by-step explanation:

{x}^{2}  + 5x + 8 = 4 \\  =  >  {x}^{2}  + 2 \times  \frac{5}{2}  \times x +  \frac{25}{4}  +  \frac{7}{4}  = 4 \\  =  >  ({x +  \frac{5}{2} }^{2} ) +  \frac{7}{4}  = 4 \\  =  > ({x +  \frac{5}{2} }^{2} ) =  \frac{9}{4}

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Answer:

the answer is 25

Step-by-step explanation:

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2 years ago
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The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

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

3 0
3 years ago
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Answer:

See below for answers and explanations

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Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)

Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)

7 0
3 years ago
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iragen [17]

Answer:

AU(B n C)= (1,3,5,7,9,6)

Step-by-step explanation:

BnC= (6)

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Answer:

it is b

Step-by-step explanation:

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