At a certain time of day, a tree that is x meters tall casts a shadow that is x-28 meters long. If the distance from the top of the tree to the end of the shadow is x + 8 meters what is the height x of the tree?

What are the coordinates of the hole in the graph of the function f(x) ? f(x)=x2−9x−3 enter your answer in the boxes.

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Inez has a phone card. the graph shows the number of minutes that remain on her phone card a certain number of days.