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Stels [109]
3 years ago
15

Choose the dilation that would represent a reduction

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0
For this case, the first thing you should know is that there are two possible cases:

 Case 1:
 If 0 <k <1 then there is a reduction of the orignal figure.

 Case 2:
 
If k> 1 then there is an expansion of the originial figure.

 Therefore, in this case, the scale factor that represents a reduction is given by:
 k = 3/4 = 0.75 (0 <k <1)

 Answer:
 
the dilation that would represent a reduction is:
 
C. k = 3/4
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\dfrac{2}{3} x^2 = 24

---------------------------------------------------------------------
Divide by 2/3 on both sides :
---------------------------------------------------------------------
x^2 = 24 \div  \dfrac{2}{3}

---------------------------------------------------------------------
Change the divide fraction to multiplication fraction :
---------------------------------------------------------------------
x^2 = 24 \times  \dfrac{3}{2}

---------------------------------------------------------------------
Simplify :
---------------------------------------------------------------------
x^2 = 36

---------------------------------------------------------------------
Square root both sides :
---------------------------------------------------------------------
x = \pm \sqrt{36}

---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------
x = \pm6

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Answer: The smallest possible value of x is -6
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Step-by-step explanation:

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