Well your third equation is definitely inaccurate. We know at a minimum that the sum in question is not negative since absolute value is never negative. It looks to me like a better bet is to consider values between 2 and -2, in which case the answer is always 4, vs. values outside of that range whi...

We have two rectangles and we know the diagonal of each. Also the diagonals form the hypotenuses of right triangles whose legs are the sides of the rectangle. Statement 1: If the ratio of base to height (width to length) of the two right triangles is the same, the triangles are similar. Like 3-4-5 i...

Very important here to distinguish between the number of factors and the number of prime factors. When you do the prime factorization, you often will keep duplicates, so the prime factorization of 49 is 7*7. But if we are just listing all factors, list each one once. It is true that if a number has ...