Your school football team wants to make a new banner to display at the district tournament. the banner will be dark red, with a white ribbon border. the length of the banner needs to be 15 feet. what are the possible widths of the banner, if the entire length of ribbon used for the border can be no more than 46 feet?

question 1: : write a literal equation (formula) for finding the border of the banner.

Prove that quadrilateral is a rhombus.

Identify the type of observational study described. a statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years. cross-sectional retrospective prospective

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?