A hiker is walking down a mountain. She walked 5978 feet in 17 minutes. In that time she descended 1024 feet feom the top of the mountain. She then walked 3927 feet in 7 minutes. In that time she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as unit rate

Two streets intersect at a 30- degree angle. at the intersection, the are four crosswalks formed that are the same length. what type of quadrilateral is formed by the crosswalks?

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."

Write numerical coefficient of y² in the expression 2x² - 15xy – 7y²