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Len [333]
2 years ago
11

Which of the following graphs shows runners moving at the same speed? Explain/show your work.

Social Studies
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

In a linear equation, like the ones in the graphs, the slope is equivalent to the rate of change. And we know that speed is defined as the rate of the position, thus the slope of these lines is exactly equal to the speed.

From this, we will see that the correct option is D.

Knowing this, two runners will have exactly the same speed if and only if both slopes (one for each runner) are exactly equal. This means that we will see two parallel lines.

This makes a lot of sense, because if they run at the same speed, then they will never meet (like two parallel lines), instead if they run at different speeds and the one that is behind runs faster, at some given point the one that goes last will reach the other, and in this point we would see that the lines intersect in the graph (like in options A, B, and C).

So from this we already can see the correct option, it is the graph with the two parallel lines, the graph D.

Explanation:

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You’d see a lot of changes when looking at a map of present-day Europe and comparing it to a 30 year old one. Belarus, Moldova, Ukraine and the Baltic States were all part of the USSR. Yugoslavia and Czechoslovakia still stated. Go back even further and the map looks even stranger. Putting all those different people under the same banner and keeping them that way was and still is next to impossible. Many have tried and most have failed, but the first to even come close was the Romans. Their inheritors, the Byzantines, managed to keep it together for over 1100 years, thus creating the longest-living Empire on the continent. Here’s how they did it.

When talking about an empire, its location kind of becomes redundant after a while because you’re pretty much everywhere and you have your hands in all the cookie jars. Nevertheless, knowing where to put your capital city is essential no matter how big you are.

For the Byzantines it all started in 330 AD, when the Roman Emperor Constantine I moved the state’s capital from Rome to the newly founded city of, you guessed it, New Rome, later to be named Constantinople and what is now present-day Istanbul. Its location was excellent! It’s right on top of the strait of Bosphorus, which connects the Black Sea to the Mediterranean and separates Europe from Asia. From here you can literally keep an eye on what goes in and out of the empire, what others transport to and from their kingdoms through your backyard, and how much you can tax them for doing so.

Besides its economic advantages, having the capital in the east was a major plus because the east was where all the good fighting was going on. With the Bulgarians to the north and the Persians and later all the Islamic Caliphates to the east, keeping these wealthier provinces safe was essential and by no means easy. Having the capital so close to danger would seem counter-intuitive, but back then sending messages back and forth between the capital and the frontline would take weeks or even months and shortening that time was strategically crucial. Information is power!

Defending your capital from would-be invaders is a great example of forward thinking. And what better way to do so than by building the largest wall Europe had ever seen? The west end of Constantinople had no natural protection from invasion, so Emperor Constantine the Great started building one in 324 AD. Not even a hundred years later, Constantinople outgrew its boundaries and Emperor Theodosius II started construction on a second wall one mile west of the old one, which spans from the Sea of Marmara to the Golden Horn.

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Constantinople also had sea walls that completely surrounded the city. These weren’t as big or as fortified as the main walls, but access to the Golden Horn was restricted by a heavy chain and strong currents on the Marmara coast made an effective attack by a fleet next to impossible.

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