Mercury is the closest planet to the sun at a distance of 36 million miles. the closest star to the sun is proxima centauri, which is 4.24 light years away. a light year is 5.9 x 10 to the 12th power. how many miles from the sun is proxima centauri?

Proxima Centauri is 2.478 x 10¹³ miles from Sun.

Explanation:

 Distance of Proxima Centauri to sun = 4.24 light years

 1 light year = 5.9 x 10¹² miles.

 Distance of Proxima Centauri to sun in miles = Distance in light years x 5.9 x 10¹² miles

 So, Distance of Proxima Centauri to sun in miles = 4.2 x 5.9 x 10¹² miles

                                                                               = 2.478 x 10¹³ miles

  So Proxima Centauri is 2.478 x 10¹³ miles from Sun.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.