A storm is brewing, and the ship must make it to the
shore as quickly as possible. Use the image below to
find the distance between the ship and the light house.
50 km
130 km

The distance between the ship and the light house is 139.28 km.

Solution:

The given image shows, it is right triangle.

Height = 50 km

Base = 130 km

Hypotenuse = ?

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

Taking square root on both sides, we get

Hypotenuse =

Hypotenuse = 139.28 km

The distance between the ship and the light house is 139.28 km.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!