Answer:

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:

Answer:
r = 6.4/(1+sin(θ))
Step-by-step explanation:
As the attachment shows, for the given directrix and eccentricity, the equation is ...

Answer:
1.5
Step-by-step explanation:
Assuming that you mean that Simon is scaling Logan's build, the scale factor is 1.5.
To find this, you divide Simon's fort height by Logans.
7.5/5 = 1.5.
Just do 7/4 and cross multiply with 1/2