Suppose p is the predicate de ned by p(x; y) = x is friends with y, where
x and y are people. (no one is considered to be friends with themselves.)
translate the formal expression 8x9y9z(y 6= z ^ p(x; y) ^ p(x; z)) into
english.

If eh = hg and hg=16, find the diameter of k

An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.

The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?