Answer:
see below
Step-by-step explanation:
That is a LOT of questions
complement angles add to 90 suppleent angles add to 180
9) complement = 50 supplelement = 140
13) compl = 40 suppl = 130
14) comp = 45 supple = 135
I think you can do the rest, right?
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Pairs, in this case, relates to a group of 2 or more. We have 6 friends. Let's call them A,B,C,D,E,F. This will allow us to make a [some sort of] combination tree:
1. ABC against DEF
2. ABD against CEF
3. ABE against CDF
4. ABF against CDE
5. ACD against BFE
6. ACE against BDF
7. ACF against BDE
8. ADE against BCF
9. ADF against BCE
10. AEF against BCD
I believe there are 12 combinations... I just can't think of the last 2 though.
Answer:
a
Step-by-step explanation:
I got right on edge
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(5)
x² + (y - 4)² = 25 ← is in standard form
with centre = (h, k) = (0, 4) → A
(6)
here (h, k) = ( 9, - 5) and r = 1, hence
(x - 9)² + (y - (- 5))² = 1², that is
(x - 9)² + (y + 5)² = 1 ← equation of circle
