A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below. http://prntscr.com/80crs3 What is the vertical clearance 2 m from the edge of the tunnel?

  • This Question is Closed
  1. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I would find the equation of the parabola, then use that equation with x=8 (which is 2 m from the edge at x=10)

  2. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the zeros of this parabola are at x=10 and x=-10 (with x=0 the middle of the parbola) in other words, y = a(x-10)(x+10) where we still need to find a luckily we know when x=0 the parabola has height 50 (i.e. y=50) so put in x=0 and y=50: 50 = a(-10)(+10) 50 = a* -100 divide both sides by -100 -1/2 = a and the equation is \[ y= - \frac{1}{2} (x-10)(x+10) \]

  3. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    After posting all of that , I see the zeros are at x=5 and x=-5 oops. but hopefully you can redo the work and get the correct equation?? the zeros of this parabola are at x=5and x=-5 (with x=0 the middle of the parbola) in other words, y = a(x-5)(x+5) where we still need to find a

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a= -2

  5. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, and the equation is y = -2 (x-5)(x+5) and 2 meters in from the edge (at x=5) would be x=3 (or x=-3) so put in x= 3 into the equation and find y

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y=32

  7. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that is what I got.

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So is that the answer?

  9. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks :)

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.