50 points for anyone who helps me solve this

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

Find the maximum value of p= 4x + 5y subject to the following constraints :

Consider an example of a deck of 52 cards: example set of 52 playing cards: 13 of each suit clubs, diamonds, hearts, and spades ace 2 3 4 5 6 7 8 9 10 jack queen king clubs diamonds hearts spades what is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.