Mathematics
5 Online
OpenStudy (anonymous):
Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."
D o,k = (6, 12) ---> (3, 6)
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jimthompson5910 (jim_thompson5910):
hint: multiply the coordinates of (6,12) by k to get (3,6)
OpenStudy (anonymous):
is my answer-3?
jimthompson5910 (jim_thompson5910):
how are you getting -3
OpenStudy (anonymous):
wait. thats not right. i dont know how I subtracted that. Meant to say is my answer 2
OpenStudy (anonymous):
only other answer I came up with
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jimthompson5910 (jim_thompson5910):
how are you getting 2 now?
OpenStudy (anonymous):
2 goes into 3, 6 an can make 12.
jimthompson5910 (jim_thompson5910):
so to go from (6,12) to (3,6)
are you
a) multiplying both coordinates by 2
OR
b) dividing both coordinates by 2
?
OpenStudy (anonymous):
divide
jimthompson5910 (jim_thompson5910):
but you said that k = 2
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jimthompson5910 (jim_thompson5910):
if k = 2, that means that you're multiplying the coordinates by 2
OpenStudy (anonymous):
Honestly I dont know what I am doing. I am confusing myself lol
jimthompson5910 (jim_thompson5910):
the first point is (6,12)
you multiply each coordinate by some number k to get (3,6)
jimthompson5910 (jim_thompson5910):
so...
6*k = 3
and
12*k = 6
OpenStudy (anonymous):
Oh. . that makes sense now lol
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OpenStudy (anonymous):
Thats why theres a 3/6. but what about finding the final answer?
jimthompson5910 (jim_thompson5910):
3/6 isn't fully reduced though
OpenStudy (anonymous):
Hmm
jimthompson5910 (jim_thompson5910):
6*k = 3
6*k/6 = 3/6 ... Divide both sides by 6 to isolate k.
k = ???
OpenStudy (anonymous):
1/2?
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jimthompson5910 (jim_thompson5910):
good, k = 1/2