Answer:
x = 2
Step-by-step explanation by completing the square:
Solve for x:
x^2 - 4 x + 4 = 0
Write the left hand side as a square:
(x - 2)^2 = 0
Take the square root of both sides:
x - 2 = 0
Add 2 to both sides:
Answer: x = 2
Answer:
x = -1
Step-by-step explanation:
"An undefined slope" indicates that the line in question is a vertical one. The coordinate x = -1 tells us that the equation of the line is just that: x = -1.
Lovely.
The car is traveling at 95 km/h, and the train is at 75 km/h.
Remember the train is 1 km long.
a)
With respect to the train the car is not moving as much as 75 km/h.
The car with respect to the train is moving as much as 95 - 75 = 20 km/h
Recall the train is 1 km long.
Time to cover the 1km long train = Distance / speed = 1 / 20 = (1/20) hour.
= (1/20)*60 minutes = 3 minutes.
So the car would pass the train in 3 minutes.
b)
Now if they are traveling in opposite directions;
the car with respect to the train = 75 + 95 = 170 km/h
Time to cover the 1km long train = Distance / speed = 1 / 170 = (1/170) hour.
<span>= (1/170)*60 minutes = (6/17) minutes
</span>
= (6/17)*60 seconds = 360/17 seconds ≈ 21.176 seconds.
Answer:
what......................
F(x)=-x^2+9x-18
=-(x^2-9x+18)
=-((x-3)(x-6))
As leading coefficient is negative, between the two zeros is the maximum
=(3+6)/2
=(9)/2
x=4.5
=-(4.5)^2+9(4.5)-18
=2.25