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Marina86 [1]
3 years ago
13

PLEASE HELP

Mathematics
2 answers:
Inga [223]3 years ago
4 0
<h3>Answer: The scale factor is 5 used to create the dilation.</h3>

Step-by-step explanation: We are given original image ABCD.

The coordinates of the image ABCD are

A (1, 2)

B ( 2, 2)

C ( 2, 1)

D ( 1, 1).

And coordinates of dilated image A'B'C'D' are :

A' (5, 10)

B' ( 10, 10)

C' ( 10, 5)

D' ( 5, 5).

We can see that (x,y) --> (5x, 5y) rule is being applied there.

<em>Therefore, each x and y-coordinate is being multiplied by 5.</em>

<h3>Therefore, the scale factor 5 is used to create the dilation.</h3>
Rama09 [41]3 years ago
3 0
<span>image ​ A′B′C′D′ is 5 times bigger than pre-image ABCD

scale factor = 5</span>
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Answer:

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Step-by-step explanation:

Note that radical zeros occur in conjugate pairs, thus

- 1 + \sqrt{2} is a zero then - 1 - \sqrt{2} is also a zero

\sqrt{3} is a zero then - \sqrt{3} is also a zero

Thus the corresponding factors are

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(x + 1 - \sqrt{2}), (x + 1 + \sqrt{2}), (x - \sqrt{3}), (x + \sqrt{3})

The polynomial is then the product of the roots

f(x) = (x + 1 - \sqrt{2})(x + 1 + \sqrt{2})(x - \sqrt{3})(x + \sqrt{3})

     = ((x + 1)² - (\sqrt{2})²)((x² - (\sqrt{3})²)

     = (x² + 2x + 1 - 2)(x² - 3)

     = (x² + 2x - 1)(x² - 3) ← distribute

     = x^{4} - 3x² + 2x³ - 6x - x² + 3

     = x^{4} + 2x³ - 4x² - 6x + 3

6 0
3 years ago
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3 years ago
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BlackZzzverrR [31]
A ton is equivalent to 1000 pounds so:
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