Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

Enlargement occurs when a dilation does create a larger image.

Reduction occurs when a dilation does create a smaller image.

A dilation shrinks or stretches the original object.
If the scale factor > 1, the image will be a stretch (enlargement)
If the scale factor is between 0 and 1, the image will be shrunk (reduction)
If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

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8 0

3 years ago

Which of the following are the subset of ,B={1,2,3,4,5,6,7,8,9,10}.

Verdich [7]

Answer:

A, C, T

Step-by-step explanation:

A subset simply means a set of which all of its elements are contained in a larger set :

To obtain the subsets of B={1,2,3,4,5,6,7,8,9,10}.

We observe the smaller sets whose entire elements can be found in B

D={0,2,4,6,8,10,12} = not a subset of B ; B does not contain 0

A={5,6,7} = subset of B, all elements Cann be found in B

C={2} = subsets of B, 2 can be found in B

T={1,2,3,4,5,...,8} = subset of B; all elements can be found in B

4 0

3 years ago

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11

Marat540 [252]

Answer: x = 2 ; -11 .
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Explanation:
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Given the equation:
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x² + 9x − 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
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"x² + 9x − 22" ;
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What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; → -2 + 11 = 9 ;
-11, 2; → -11 + 2 = -9 ;
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So we have: "-2" and "11" ;
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So; "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;

So: x − 2 = 0 ;

Add "2" to each side of the equation;

x − 2 + 2 = 0 + 2 ;

x = 2 ;
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x + 11 = 0 ;

Subtract "11" from each side of the equation;

x + 11 − 11 = 0 − 11 ;

x = -11 ;
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Answer: x = 2 ; -11 .
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6 0

3 years ago