contestada

You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 9x + 8 and the path of the dog is modeled by y = 3x + 8, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?

Yes, they intersect at the coordinates (0, 8) and (3,17)

Yes, they intersect at the coordinates (0, 8) and (4, 20)

Yes, they intersect at the coordinates (0, 8) and (6, 26)

No, the paths do not cross

Respuesta :

Solving a quadratic equation, the correct option is given by:

Yes, they intersect at the coordinates (0, 8) and (6, 26).

What is a quadratic function?

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are:

x1 = (-b + sqrt(Delta))/2a

x2 = (-b - sqrt(Delta))/2a

In which:

Delta = b² - 4ac

The equation for this system if:

-x² + 9x + 8 = 3x + 8

x² - 6x = 0

x(x - 6) = 0

Then:

  • x = 0 -> y = 3 x 0 + 8 = 8.
  • x - 6 = 0 -> x = 6, y = 3 x 6 + 8 = 26.

Which means that the correct option is:

Yes, they intersect at the coordinates (0, 8) and (6, 26).

More can be learned about quadratic equations at https://brainly.com/question/28061776

#SPJ1

Otras preguntas