The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.)

A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 6 miles. The length BC of the triangle is labeled as 2 miles. This length BC is also the length of an irregular gray shaded shape.

Which of the following choices is closest to the distance (in miles) between points A and B?

3.46 miles
5.66 miles
6.32 miles
7.75 miles

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is