If there are n people, each person could shake hands with 0 people, 1 person, 2 people,... on up to shaking hands with n − 1
people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?
"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
Answer:
answer is 1 answer is 4-5 = 1 is 3-6 answer is only 3
If XZ=20 then half of that, XY = 10 so if XY is 10 that means YZ is 10, and WX is 10.
Answer:
y=-2x-7
Step-by-step explanation:
lines are typically written in y=mx+b form, where m is the slope and b is the y intercept
we are given the line y=1/2x-4
perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1
so to find the slope of the new line, use this formula:
1/2m=-1
multiply by 2
m=-2
so the slope is -2
here's the equation so far, written in y=mx+b form
y=-2x+b
we need to find b
because the line passes through the point (-4,1), we can use it to solve for b
substiute -4 as x and 1 as y
1=-2(-4)+b
1=8+b
-7=b
so b is -7
therefore the line is:
y=-2x-7
Hope this helps! :D
