Question

A dolphin dives down into the ocean and resurfaces along a path that is modeled by x2 – 20x – 4y = 0, where the distances are in feet. How many feet is the dolphin from its starting point along the water's surface?

5 feet
10 feet
20 feet
25 feet

Answer 1

9514 1404 393

Answer:

  (c)  20 feet

Step-by-step explanation:

At the water's surface, y=0. We want to find the values of x for that case.

  x^2 -20x -0 = 0

  x(x -20) = 0 . . . . . . factor

This has solutions x=0 and x=20. The difference between them is ...

  20 - 0 = 20

The dolphin is 20 ft from its starting point on the water's surface.

Answer 2

The dolphin will travel 20 feet from its starting point along the water's surface option third is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

The dolphin dives down into the ocean and resurfaces along a path that is:

x² – 20x – 4y = 0

The dolphin path will be a downside parabola.

The starting point will be (0, 0) and the endpoint will be (20, 0)

The distance between these points:

$\rm d=\sqrt{(0-0)^2+(20-0)^2}$

d = 20 feet

Thus, the dolphin will travel 20 feet from its starting point along the water's surface option third is correct.

Learn more about the parabola here:

brainly.com/question/8708520

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