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ale4655 [162]
3 years ago
8

Segment DE has endpoints at D(2, - 8) and E(-4, 4) . If it is dilated about the origin by a factor of 4, which of the following

would be the length of its image, D’E’
1.) 6sqrt(5);

2.) 24sqrt(5);

3.) 144sqrt(5);

4.) 10sqrt(5);

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

answer 2)  24\sqrt{5}

Step-by-step explanation:

after the dilation pt D is (8,-32)

after the dilation pt E is (-16,16)

if you use the distance formula for these two points you get \sqrt{2880} which simplifies to 24\sqrt{5}

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