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stepladder [879]
3 years ago
6

OWhich value completes this table?

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

When x = -1, f(x) = 2

Step-by-step explanation:

f(x) = (1/2)^x

When x = -4

f(x) = (1/2)^x

f(x) = (1/2)^-4

= 1 ÷ (1/2)^⁴

= 1 ÷ 1^⁴/2^⁴

= 1 ÷ 1/16

= 1 × 16/1

= 16

When x = -1

f(x) = (1/2)^x

= (1/2)^-1

= 1 ÷ 1/2^1

= 1 ÷ 1/2

= 1 × 2/1

= 1 × 2

= 2

When x = -1, f(x) = 2

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Rectangle A’B’C’D’ is the image of rectangle ABCD after dilation. What is the scale factor of the dilation?
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Answer:

The scale factor of the dilation is 3

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

so

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Remember that

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Let

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we have

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DC=4-1=3\ units  ---> difference of x-coordinates

substitute

z=\frac{9}{3}=3

The scale factor is greater than 1

so

The dilation is a enlargement

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