A line segment with endpoints Q negative nine comma thirty-six and R forty five comma eighteen is dilated with the origin as the center of dilation. The resulting endpoints are Q prime negative one comma four and R prime five comma two. What is the scale factor?
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OpenStudy (anonymous):
one-ninth
9
3
one-third
OpenStudy (apoorvk):
find out the ratio of distances QR and Q'R'. that will be the scale factor
OpenStudy (anonymous):
how do i do that?
OpenStudy (apoorvk):
know the distance formula?
OpenStudy (anonymous):
nope
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OpenStudy (apoorvk):
for two points A(x,y) and B(x',y') distance AB between them is:
\[AB = \sqrt{(x-x')^2 + (y-y')^2}\]
Use this.
OpenStudy (anonymous):
can you please give me the answer?? im running out of time and if i do i will fail my course
OpenStudy (apoorvk):
I am sorry, but we do not just give away the answers - I explained it to you - it's pretty easy just plug in the values.
OpenStudy (anonymous):
is it 9?
OpenStudy (apoorvk):
If you are trying to guess randomly, then yeah '9'.
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OpenStudy (apoorvk):
- or maybe not
OpenStudy (anonymous):
no i did not guess randomly i did some calculation , is 9 correct