A pair of weak earthquakes are modeled by nonlinear inequalities. One earthquake occurred roughly 15 km
south and 18 km west of the center of Salt Lake City,
Utah. The quake could be felt 16 km away. A couple of
days later another earthquake occurred 9 km north and 4
km east of the center of Salt Lake City and could be felt
21 km away. If Salt Lake City is located at (0, 0) on a
coordinate grid, the system below represents this
scenario.

Select the lengths in centimeters that would form a right triangle

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Astudent has created the give circuit diagram. it consists of a battery, a resistor, and a light bulb. in one minute, 1.2c of charge flows through the resistor. how much charge flows through the light bulb in one minute?