Astronomers measure large distances in light-years. one light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. suppose a star is 9.8 × 10^1 light-years from earth. in scientific notation, approximately how many miles is it?

miles.

Step-by-step explanation:

Given: One light-year is the distance that light can travel in one year.

And One light year = miles.

Now, The distance of a star from earth =   light-years

Therefore, The distance of a star from earth in miles (d) is given by:-

Hence,  The distance of a star from earth in miles = miles.

answer: 414,377,008

step-by-step explanation:

just multiply it

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