14 Determine the number of solutions for this system. y = 2x+10, y = 1-3x+12 no solution
One
two
infinitely many​

i got no solution

Step-by-step explanation:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,

dx/dt = 0  since dock height doesn't change

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

Therefore, the boat is approaching the dock at rate of 2.14 ft/s