Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centauro é de 2,5 x milhas. A distância da Terra ao Sol é de, aproximadamente, 9,3 x milhas. A sua espaçonave pode viajar a velocidade da luz. Você Sabe que a luz pode percorrer uma distância de 5,88 x milhas em um ano. Será que você consegue chegar a Alfa Centauro a tempo? Justifique.

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

The complete question in English is

You're the commander of a spaceship. Your mission is to reach Alpha Centaur  in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance  from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel  at the speed of light. You know that light can travel a distance of 5.88 x 10^12  miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

The spaceship can travel  at the speed of light

The light can travel a distance of in a year

so

using a proportion

This time is very small in years

Convert to minutes

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

The spaceship can travel  at the speed of light

The light can travel a distance of in a year

so

using a proportion

therefore

The spaceship will get to Alpha Centaur in time

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.