When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer.
Answer:
45
Step-by-step explanation:
12/15=4/5
4/5=36/x
cross product
5*36=4*x
180=4x
x=180/4
x=45
Using proportions, it is found that it will take you 392 seconds = 6 minutes and 32 seconds to complete 4 laps.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the given rates, the time that is takes to complete one lap of 400 m is given by:
t = 2 x 12(sprint) + 24(half as fast as the sprint, 24 seconds per 100 meters) + 50 = 98 seconds.
Hence for 4 laps, the time is given by:
t = 4 x 98 seconds = 392 seconds = 6 minutes and 32 seconds to complete 4 laps.
More can be learned about proportions at brainly.com/question/24372153
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