Question

In her playhouse, Josie turns a balloon full of air loose, and it follows the path described by the equation y = - * - 5x - 12. Where will the balloon hit the ceiling if the ceiling is at the x-axis (y = 0)?

A) No solution
B) (-1, 8)
C) (4, -8)
D) (0, )

Answer 1

The balloon will hit the ceiling at the coordinate (-12/5, 0).

Step-by-step explanation:

The given equation for the path of the balloon is y = -5x - 12. To find where the balloon hits the ceiling, we need to find the value of x when y = 0. Substitute y = 0 into the equation:

0 = -5x - 12

5x = -12

x = -12/5

The balloon will hit the ceiling at the coordinate (-12/5, 0).