Which ones do not represent a function and which ones do represent a function and why?
1 answer:
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The closest point on a line, to another point, will be a point that's on a normal of that line, or a line that is perpendicular to it, notice picture below
so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or
so, we know that line passes through the point 20,0, and has a slope of -1/2
if we plug that in the point-slope form, we get
now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph
thus
solve for "x'
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not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation
so, y = 2x, has a slope of 2, a perpendicular line to it, will have a slope of negative reciprocal that, or
so, we know that line passes through the point 20,0, and has a slope of -1/2
if we plug that in the point-slope form, we get
now, the point that's on 2x and is also on that perpendicular line, is the closest to 20,0 from 2x, thus, is where both graphs intersect, as you can see in the graph
thus
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not sure on the 2nd part, but sounds like, what's the distance from that point to 20,0, well, if that's the case, just use the distance equation
Home is 0.6 miles away from the store
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:-
Total time taken by girl to complete the trip = 15 minutes = hours
Speed while riding going = 6 miles per hour
Speed while coming back = 4 miles per hour
Total time taken by girl =
Time taken while going + Time taken while coming back - (1)
Let x be distance from home to store
= Time taken while going
= Time taken while coming back
Substituting in (1) we get
x = 0.6 miles
Thus home is 0.6 miles away from the store
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