5. explain why |z + w| ≤ |z| + |w| and |z − w| ≤ |z| + |w| geometricaly. (hint: triangle inequality theorem)

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?