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jkpope06
29.01.2020 •
Mathematics
Aman in a rowboat that is a = 2 miles from the nearest point a on a straight shoreline wishes to reach a house located at a point b that is b = 8 miles farther down the shoreline (see the figure). he plans to row to a point p that is between a and b and is x miles from the house, and then he will walk the remainder of the distance. suppose he can row at a rate of 2 mi/hr and can walk at a rate of 4 mi/hr. if t is the total time required to reach the house, express t as a function of x.
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Ответ:
b-x=A by subtracting x from both sides. Therefore, a^2+(b-x)^2=P^2 and by plugging a=2 and b=8 in, we get 2^2+(8-x)^2=P^2. To find out P, we square root both sides, getting P= sqrt(4+(8-x)^2). Since the man rows 2 miles per hour, we can divide P by 2 to get how much time it takes for him to travel to point P, resulting in sqrt(4+(8-x)^2)/2. In addition, we can divide x by 4 as the man walks 4 miles per hour, getting x/4. Adding them up, we get
sqrt(4+(8-x)^2)/2+x/4 as the amount of time it will take to get to point B
Ответ:
2
Step-by-step explanation: