What is the product? 5 -2 Х -6 2
1 answer:
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Answer:
The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.
Step-by-step explanation:
When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy
h²+b² = 5², since h = 2, h² = 4, as a result
b² = 25-4 = 21, thus
b = √21.
Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.
The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function
We have to compute the derivate of f in x = 0.51. The derivate of f is given by
also,
The plane's distance from the station will increase about 8 miles per minute.
ANSWER
EXPLANATION
We want to factor
out of
The first term is already having a factor of
The constant term which is the second term is not having a factor of
so we need to use a trick of multiplying and dividing by the same factor to obtain,
We can now factor
out of the right hand side to obtain,
Let us rewrite the right most fraction using the normal division symbol.
We simplify to obtain,
This further gives us,
EXPLANATION
We want to factor
out of
The first term is already having a factor of
The constant term which is the second term is not having a factor of
so we need to use a trick of multiplying and dividing by the same factor to obtain,
We can now factor
out of the right hand side to obtain,
Let us rewrite the right most fraction using the normal division symbol.
We simplify to obtain,
This further gives us,