The endpoints of segment ac are a( – 7, – 3) and c( 8, 4). point b is somewhere in between ac. determine the coordinates of point b if the ratio of the distances between these points is ab : bc = 5 : 2.

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?

What is the volume of this container?

The diagram shows a cuboid abcdefgh abcd is a square with area 25cm². find the volume of the cuboid.