The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,
and then from Houston to Dallas. How many hours will it take him?
The picture is supposed to be right here
Answers:
7 2/15 hours
7 5/12 hours
4 7/12 hours
7 hours
The picture is supposed to be right here
Answers:
7 2/15 hours
7 5/12 hours
4 7/12 hours
7 hours
1 answer:
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Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
