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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);

Segment DE has endpoints at D2 8 and E4 4 If it is dilated about the origin by a factor of 4 which of the following would be the length of its image DE 1 6sqrt5 class=

Respuesta :

clarch19

Answer:

answer 2)  24[tex]\sqrt{5}[/tex]

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 [tex]\sqrt{2880}[/tex] which simplifies to 24[tex]\sqrt{5}[/tex]

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