Question

. Mercury is 5.79 x 107 kilometers from the Sun. Jupiter

is 7.786 x 108 kilometers from the Sun. When they are
on opposite sides of the Sun, how far apart are Mercury
and Jupiter?​

Answer 1

`83.65* 10^(7)` km

Explanation:

Given:

Distance of Mercury from the Sun,
`d_(m)=5.79* 10^(7)\textrm{ km}`

Distance of Jupiter from the Sun,
`d_(j)=7.786* 10^(8)\textrm{ km}`

When they are on opposite sides of the Sun, the total distance will be the sum of their individual distances from the Sun.

So, The distance between Mercury and Jupiter is equal to

`d_(m)+d_(j)=5.79* 10^(7)+7.786* 10^(8)\\d_(m)+d_(j)=5.79* 10^(7)+77.86* 10^(7)\\d_(m)+d_(j)=(5.79+77.86)* 10^(7)\\d_(m)+d_(j)=83.65* 10^(7)\textrm{ km}`

Therefore, when Mercury and Jupiter are on opposite sides of the Sun, they are
`83.65* 10^(7)` km apart.