Pls help me........
1 answer:
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Answer:
They most have common denominators.
Step-by-step explanation:
Let the following two rational expressions:
where p,a,q, b are integers, a and b the denominators are not 0, i.e.
We can add rational expressions only if their denominator is same.
That is why we find LCD to be .
Then,
Let the following two rational expressions:
where p,a,q, b are integers, a and b the denominators are not 0, i.e.
We can add rational expressions only if their denominator is same.
That is why we find LCD to be .
Then,
So, the correct answer is the last option that we can sum rational expressions if they have common denominator.
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by
Differentiating the above equation with respect to time yields,
dx/dt = 0 since dock height doesn't change
The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,
Therefore, the boat is approaching the dock at rate of 2.14 ft/s
