168k views
4 votes
A circus acrobat jumps off a raised platform. He lands on a trampoline at stage level below. His path can be modeled by the relation h=-0.5d^2+0.5d+6, where h is his height above the stage and d is his horizontal distance from the edge of the platform, both in meters.

a) What is the height of his platform?

User Adeena
by
7.8k points

1 Answer

6 votes

Final answer:

The height of the platform can be determined by solving the quadratic equation.

Step-by-step explanation:

The height of the platform can be determined by setting h=0 and solving for d in the given equation.

0=-0.5d^2+0.5d+6

Using the quadratic formula, we can find the value of d.

  1. Plug in the values a=-0.5, b=0.5, and c=6 into the quadratic formula: d = (-b ± √(b^2 - 4ac))/2a
  2. Solve for d: d = (-0.5 ± √(0.25 - 4(-0.5)(6)))/2(-0.5)
  3. Simplify and calculate the two possible values of d.
  4. The larger value of d represents the distance from the edge of the platform to the landing position on the trampoline, so the height of the platform would be 6 meters plus this distance.

Thus, by solving the quadratic equation, we can find the height of the platform.

User Anaika
by
9.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories