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amyeaglin2003
28.06.2020 •
Mathematics
Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P and (60 comma 0 )(60,0)?
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Ответ:
Step-by-step explanation:
We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.
We want to find the point on the line y=3x which is closest to Q.
Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.
If x=a, y=3a, so the point P has the coordinates (a,3a).
Distance between point Q and P
To minimize D, we find its derivative
Therefore, the y-coordinate for P is 3*6=18.
The point P=(6,18).
Next, we calculate the distance between P(6,18) and (60,0).
Ответ:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego
of an hour to complete the lap =
x 1 hour =
hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed =![\frac{distance}{time taken}](/tpl/images/1122/5525/da388.png)
=![\frac{1}{\frac{1}{8} }](/tpl/images/1122/5525/77930.png)
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.