The following were used:Convenience,Systematic and Voluntary.
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
The required number of the given question is 20.
Step-by-step explanation:
Given:
2
is 11% of a given number.
To find:
The given number
Let, the number be "x"
According to the problem,
2 = 11% of x
or, 2 = x ×
or, 
= 
or, 11 ×5x = 100×11 [ by cross multiplication]
or, x = 20
You want to calculate the ratio of 7 2/3 feet to 5 3/4 feet. The correct answer will not have units of measurement.
Convert 7 2/3 and 5 3/4 to improper fractions: 23/3 and 23/4.
What is the quotient of 23/3 to 23/4? It's the same as 1/3 to 1/4: (1/3)(4/1) = 4/3.
Answer:
The answer is X=6 & Y=3 ......
