ohohaye
  • ohohaye
What is the maximum height this rocket will reach? Equation: h= -5t^2+30t+10 Please show me how to do this
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
max is the second coordinate of the vertex
anonymous
  • anonymous
the first coordinate of the vertex of \[y=ax^2+bx+c\] is \(-\frac{b}{2a}\) and the second coordinate is what you get when you replace \(x\) by the first coordinate
anonymous
  • anonymous
in your case \(a=-5,b=30\)

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anonymous
  • anonymous
did you find \[-\frac{b}{2a}=-\frac{30}{2\times (-5)}\]?
ohohaye
  • ohohaye
I'm confused
anonymous
  • anonymous
me too what are you confused about?
ohohaye
  • ohohaye
Oh wait I get it, sorry I got lost
anonymous
  • anonymous
ok good it is brief
ohohaye
  • ohohaye
So all I have to do is solve this and I will get the max height? \[\frac{ 30 }{ 2(-5) }\]
anonymous
  • anonymous
you are off by a minus sign it is \[-\frac{ 30 }{ 2(-5) }\]that will get you the input yes then plug it in
anonymous
  • anonymous
i.e. plug in \(3\) for \(t\)
ohohaye
  • ohohaye
ok, thank you

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