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
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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
Answer: A 6 hours 15 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 750 / 120
= 6.25 hours
Answer: I believe it is the first one, “a number added five times”
Step-by-step explanation: a number added 5 times would mean that any random number could be multiplied by 5.
With the rest, it’s saying that C is being added on to.
9/9 ( 1 whole class) - 4/9 (number of boys) = 5/9.
5/9 of the class are girls. I hope hope this helps is helps you!
Step-by-step explanation:
step 1. make a triangle with the line being the hypotenuse. let a be the base, b the height, and c the hypotenuse.
step 2. a^2 + b^2 = c^2 pythagorean theorem
step 3. 4^2 + 3^2 = c^2
step 4. c^2 = 25
step 5. c = 5 (answer).
