anonymous
  • anonymous
find the point where the normal line to y = x + root x at (4,6) crosses the y-axis.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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phi
  • phi
did you find the equation for the slope of the curve?
anonymous
  • anonymous
wait.. i'll solve for the slope
anonymous
  • anonymous
take the derivative replace \(x\) by \(4\) that gives you the slope take the negative reciprocal, that give you the slope of the normal line use the point slope formula with the point \((4,6)\) to find the equation of the normal line \(y=mx+b\) then \(b\) is where it crosses the y axis

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anonymous
  • anonymous
the value of b is the answer then?
anonymous
  • anonymous
yes, that is the y intecept
anonymous
  • anonymous
ok.. thanks.. i'll try solving for it
phi
  • phi
Here is a plot of the scenario
1 Attachment
anonymous
  • anonymous
thanks! what i got was 31/5 .. is this correct?
phi
  • phi
how ?
anonymous
  • anonymous
i follow the steps satelite gave
phi
  • phi
I think you wandered off the path...
anonymous
  • anonymous
why??
phi
  • phi
see the plot I posted up above
anonymous
  • anonymous
where is the normal line there?
phi
  • phi
the red line
anonymous
  • anonymous
so what do you think is wrong with my answer? is the steps given by satelite somehow have mistakes? i just followed it
phi
  • phi
what did you get for the slope ?
phi
  • phi
first, what did you get for the derivative?
anonymous
  • anonymous
owh wait.. i got a mistake
anonymous
  • anonymous
b = 46/5 .. i believe that is the correct answer now?
phi
  • phi
yes, 9.2 which matches the plot
anonymous
  • anonymous
9.3 :)) thanks so much! help me again.. i'll post a question :)
phi
  • phi
9.3 ?
anonymous
  • anonymous
yes.. divide 46 by 5 right ? then it will be 9... remainder is 15.. that will be 3.. so 9.3?
phi
  • phi
5*9= 45
anonymous
  • anonymous
lol.. i got a mistake again. sorry.. yes.. 9.2

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