Write the standard equation of the circle below.
image of a circle with its center at the coordinate 1, negative 2 and radius 3
(x - 1)^2 + (y + 2)^2 = 9

(x + 1)^2 + (y - 2)^2 = 3

(x - 1)2 + (y + 2)2 = 3

(x + 2)^2 + (y - 1)^2 = 9

Write the standard equation of the circle below.
image of a circle with its center at the coordinate zero, negative 2 and radius 3

x^2 + (y - 2)^2 = 9

(x + 2)^2 + y^2 = 9

x^2 + (y + 2)^2 = 3

x^2 + (y + 2)^2 = 9

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?

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per hour. how many hours will it take for the planes to be 2451 miles apart?

Suppose that 15 inches of wire cost 60 cents. at the same rate, how much (in cents) will 12 inches of wire cost