A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci
entist can use only these two measurements to calculate the distance between the Sun and the shooting star.
1 answer:
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Answer:
1. (-4,6) there is no a solution to the equation through this point
2. (2,−6) there is no a solution to the equation through this point
3. (−5,39) there is a solution to the equation through this point
4. (−1,45) there is a solution to the equation through this point
Step-by-step explanation:
Using the existence and uniqueness theorem:
Let:
Now, let's find the domain of , due to the square root:
So the domain of the function is:
Now, due to the fraction the denominator must be also different from 0, so:
So, the theorem tells us that for each there exists a unique solution defined in an open interval around
.
1. (-4,6) there is no a solution to the equation through this point because
2. (2,−6) there is no a solution to the equation through this point because
3. (−5,39) there is a solution to the equation through this point because
4. (−1,45) there is a solution to the equation through this point because