What is the vertex of the function f(x) =1/2 x2 + 3x +3/2 ?

The customer price index(cpi), which measures the cost of a typical package of customer goods,was 208.8 in 2011 and 244.1 in 2016.let x=11 corresponding to the year 2011 an estimate to cpi into 2013 and 2014. assume that the data can be modeled by a straight line and the trend to continue idenfinitely.use data points to find such a line and then estimate the requested quantities

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

What is the distance between the points (2, 5) and (5,9)?