The longest side of a triangle is twice as long as the shortest side the remaining side is 25cm find the length of the other two sides if the perimeter is 70 cm

List the 10 possible samples (without replacement) of size 3 3 that can be obtained from the population of five officials.

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?

If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b