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Ivan
3 years ago
5

s there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

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Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
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Answer:

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 8x + 5

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<u>Step 2: Find f(g(4))</u>

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(4) = 7(4) - 2
  2. Multiply:                                                                                                             g(4) = 28 - 2
  3. Subtract:                                                                                                            g(4) = 26
  4. Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5
  5. Multiply:                                                                                                              f(g(4)) = 208 + 5
  6. Add:                                                                                                                   f(g(4)) = 213
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