Answer:
A function table has values of input and output and a function rule. In the function rule, if we plug in different values for the input, we get corresponding values of output. There is always a pattern in the way input values x and the output values y are related which is given by the function rule.
Answer:
Columbus was the first explorer
I'm not sure if the emphasis is to be put on the fact that the <em>Pope</em> declared or that the event occurred. I'll answer both.
It was significant that the Pope declared it because he was pretty much the only person who had the ability to declare such a thing. Even though the kingdoms of Europe had different rulers, most kingdoms were based on the Catholic religion. Therefore, the Pope had influence. If he declared something, it was as good as God declaring it.
It was significant that a Holy Roman Emperor was declared because it was the first step -- of many -- to achieving German unification. Before Charlemagne, Germany was nothing more than the Germanic tribes. The Holy Roman Empire, which lasted until 1806, kept these kingdoms united.
The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle.