p -> q is represented as "If you have a library card, then you can check out books"
~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.
q -> p is represented as "If you can check out books, then you have a library card" This is the converse
~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse
p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.
Answer:
80 percent of 16 is 12.8 I'm sorry but that's all I know
Answer:
Step-by-step explanation:
( a - b)² = ( a +b)² - 4ab
or
( a + b)² - (a-b)² = 4ab
LHS
( a + b)² - (a-b)²
= (a² + 2ab + b²) - (a² - 2ab + b²)
= a² + 2ab + b² - a² + 2ab - b²
= 4ab
RHS proved