There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
Answer: okay so your problems are like 10000000k through out resons of dum. so x=-1. is a little wrong becayse the x = into a 1 so you make the 1 that factor. so thats why answer for 2.5
Step-by-step explanation:
I think it might be
3,362,461
hopefully that's what you need!!<span />
Answer:
722 cm ^2
Step-by-step explanation: