Step-by-step explanation:
Discriminant : k² - 4(12)(27) < 0
So k² - 1296 < 0, -36 < k < 36.
Sorry i dont know im not that far in school that's like high school stuff sorry

First, simplify

to

/ Your problem should look like:
Second, simplify

to

/ Your problem should look like:
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like:
Fourth, subtract 2 from both sides. / Your problem should look like:
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like:
Sixth, add 9x to both sides. / Your problem should look like:
Seventh, add 8x + 9x to get 17x. / Your problem should look like:
Eighth, divide both sides by 17. / Your problem should look like:

Answer as fraction: x =

Answer as decimal: x = 0.5882
Given:
Number of people bought tickets for comedy = 
Number of people bought tickets for horror = 
Number of people bought tickets for kids movie = 
To find the number of people who bought tickets for the action movie.
Let us take,
Total number of tickets = 1
Now,
Total number of tickets for comedy, horror and kids movie are = 
So,

LCM of 5,4,10 = 20
= 
= 
Rest are action movie's tickets.
Therefore,
Number of action movie tickets = 
= 
= 
Hence,
The number of people who bought the tickets for action movie is
.
Of your answers, the first one is correct. There are two right triangles in the graph, ABC and A'B'C'. However, only A'B'C' is listed.