What graph represents the system of linear inequalities? 4x+y> 1 y≤32x+2

The graph in the attached figure

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is

The slope of the dashed line is negative

The y-intercept of the dashed line is the point

The x-intercept of the dashed line is the point

-----> inequality B  

The solution of the inequality B is the shaded area below the solid line

The equation of the solid line is

The slope of the solid line is positive

The y-intercept of the solid line is the point

The x-intercept of the solid line is the point

using a graphing tool

The graph in the attached figure

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)