James,Brody, and then Darren
Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
__
So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
I think it's 1.77777777778(7 is repeating) to1.
16/9=1.77..............8
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12