Quadrilateral RSTU has vertices at RS T  ( 1,11) , (9,12) , (13, 5)     and U (2, 2)  . (a) Show that the diagonals of RSTU are perpendicular.

(b) Show that RS ST  .

(c) Given that RSTU is a quadrilateral with perpendicular

diagonals and two adjacent, congruent sides, why isn't RSTU a

rhombus?

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

Mexico city, mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. its population in 1991 was 20,899,000 people. use the formula p = 20.899e0.032t to predict its population p in millions with t equal to the number of years after 1991. what is the predicted population to the nearest thousand of mexico city for the year 2010?

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36