Lisa is using the equation x2 + (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the zero product property, what do the two solutions represent?

a)two numbers that differ by 5 and squares that have a sum of 157
b)one possible number is 5 less than the other number
c)one possible number that can be used to find numbers that differ by 5 and squares that have a sum of 157
d)two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.