anonymous
  • anonymous
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used? 1/2 1/3 3 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@imqwerty
anonymous
  • anonymous
@AG23
anonymous
  • anonymous
When you're dealing with scale factors, you're multiply the the pre-image by a number to get the image. So, we get \((N'(2,-1)=N(6k,-3k)\) where k is the scale factor. Can you figure it out from here (aka solve for k)?

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anonymous
  • anonymous
uhh
anonymous
  • anonymous
Ok, to make it a bit simpler, we need to solve for the value of k that would satisfy the equations \[2=6k\]AND\[-1=-3k\]Does that help?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
@imqwerty @Calcmathlete alittle more help please
anonymous
  • anonymous
1.3?
anonymous
  • anonymous
Let's start with the first equation first. How do you solve 6k = 2?
anonymous
  • anonymous
/3
anonymous
  • anonymous
Well, you're trying to get k by itself. k is multiplied by 6, to get rid of it, you divide by 6. on both sides.\[\frac{6k}{6}=\frac26\]\[k=???\]
anonymous
  • anonymous
1/3!
anonymous
  • anonymous
...
thehumantorch10
  • thehumantorch10
yes!!!!!!! you got it
thehumantorch10
  • thehumantorch10
good job i gave you a medal
anonymous
  • anonymous
Yup! k=1/3. You want to make sure that you got the number right, so plug it back in to see if it is correct. When you do plug it in, you see that k works for both equations, and you found the scale factor. :)
imqwerty
  • imqwerty
we have pre image point =(6, -3) and we hav new point = (2,-1) scale factor is the number multiplied with the pre image point (6,-3) to get the new point (2,-1) lets take the scale factor as m so (6m,-3m)=(2,-1) so 6m=2 frm here we get m=1/3 and also -3m=-1 frm here we get m=1/3 so scale factor is 1/3
anonymous
  • anonymous
<3

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