Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. two lines labeled f of x and g of x. line f of x passes through points negative 4, 0 and negative 3, 1. line g of x passes through points negative 4, 0 and negative 3, negative 2. −2 negative one half one half 2

What properties allow transformation to be used as a problem solving tool

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 tan2a=cot(a+60), find the value of a, where 2a is an acute angle