Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-direction. the first boat follows a path that can be modeled by a quadratic function with a vertex at (1, 10), whereas the second boat follows a path that can be modeled by a quadratic function with a vertex at (0, –7). which system of equations can be used to determine whether the paths of the boats cross?

Step-by-step explanation:

1st boat:

Parabola equation:

The x-coordinate of the vertex:

Equation:

The y-coordinate of the vertex:

Parabola passes through the point (-8,1), so

Solve:

Parabola equation:

2nd boat:

Parabola equation:

The x-coordinate of the vertex:

Equation:

The y-coordinate of the vertex:

Parabola passes through the point (-8,1), so

Solve:

Parabola equation:

System of two equations:

the answer is 375 miles

step-by-step explanation: