Answer:
R = -8 1/6
Step-by-step explanation:
We'll solve the given equation for R.
Subtract 3 1/2 from both sides of the equation, to isolate R:
R + 3 1/2 - 3 1/2 = -4 2/3 - 3 1/2, or
R = -4 2/3 - 3 1/2
The LCD here is 6, which is the product of 3 and 2. Converting the fractions to denominator 6, we get:
R = -4 4/6 - 3 3/6, or
R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6
It would take 4 hours for both trains to meet.
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let t represent the time at which both trains meet, and d represent the distance covered by train A, hence:
For train A:
100 = d / t
t = d/100
For train B:
200 = (1200 - d) / t
t = (1200 - d) / 200
d/100 = (1200 - d)/200
2d = 1200 - d
3d = 1200
d = 400 km
t = 400 / 100 = 4 hours
It would take 4 hours for both trains to meet.
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Answer:
The answer to your question is:th first option is correct.
Step-by-step explanation:
Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.
Equation
y - k = ±
Process
Find a, b
a² = 9
a = 3
b² = 5
b = √5
h = 0 and k = 1
Substitution
y - 1 = ±
Equation 1
y = 
Equation 2
y = -
Answer:
Step-by-step explanation:
You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4. You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.
Please note: the middle cube has been mislabeled. Instead of volume = 30 units^3, the volume should be 45 units^3.
Here's the procedure:
Guess an appropriate s value. Let's try s = side length = 3.5
Cube this: (3.5 units)^3 = 42.875. Too small. Choose a larger possible side length, such as 3.7: 3.7^3 = 50.653. Too large.
Try s = 3.6: 3.6^3 = 46.66. Too large.
Choose a smaller s, one between 3.5 and 3.6: 3.55^3 = 44.73. This is the best estimate yet for s. Continue this work just a little further. Try s = 3.57. Cube it. How close is the result to 45 cubic units?
