Answer:
512
Step-by-step explanation:
(a)=a*r^( n − 1)
(9)=2*(-2)^( 9− 1)
=512
hope this help
Answer:
d sqrt(95)/7
Step-by-step explanation:
tan theta = opposite /adjacent
tan B = AC/BC
tan B = sqrt(95)/7
Answer:
220
Step-by-step explanation:
Given,
The total number of people = 12,
Out of which, top 3 finishers will be recognized with the same award,
So, the total possible way = total combination of 3 people out of 12 people
![=^{12}C_3](https://tex.z-dn.net/?f=%3D%5E%7B12%7DC_3)
![=\frac{12!}{3!(12-3)!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%21%7D%7B3%21%2812-3%29%21%7D)
![=\frac{12\times 11\times 10\times 9!}{3\times 2\times 9!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%21%7D%7B3%5Ctimes%202%5Ctimes%209%21%7D)
![=\frac{1320}{6}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1320%7D%7B6%7D)
![=220](https://tex.z-dn.net/?f=%3D220)
Hence, there are 220 ways the top 3 racers can be grouped from the 12 people.
Answer:
(a+b)(c+d)=a c+a d+b c+b d is the formula
Step-by-step explanation:
Solution :
Given the equation :
![$y = x^2 - 6x+3 $](https://tex.z-dn.net/?f=%24y%20%3D%20x%5E2%20-%206x%2B3%20%24)
![$y=1(x^2 - 6x +n)+3$](https://tex.z-dn.net/?f=%24y%3D1%28x%5E2%20-%206x%20%2Bn%29%2B3%24)
![$n = \left(\frac{b}{2}\right)^2$](https://tex.z-dn.net/?f=%24n%20%3D%20%5Cleft%28%5Cfrac%7Bb%7D%7B2%7D%5Cright%29%5E2%24)
![$n = \left(\frac{6}{2}\right)^2$](https://tex.z-dn.net/?f=%24n%20%3D%20%5Cleft%28%5Cfrac%7B6%7D%7B2%7D%5Cright%29%5E2%24)
n = 9
![$y=1(x^2 - 6x +9-9)+3$](https://tex.z-dn.net/?f=%24y%3D1%28x%5E2%20-%206x%20%2B9-9%29%2B3%24)
![$y=1(x^2 - 6x +9)-9+3$](https://tex.z-dn.net/?f=%24y%3D1%28x%5E2%20-%206x%20%2B9%29-9%2B3%24)
![$y=1(x-3)^2- 6$](https://tex.z-dn.net/?f=%24y%3D1%28x-3%29%5E2-%206%24)
Therefore the vertex form of
is
.