If Joy has to post a flag at one-fourth distance from green flag in the line segment joining the green and red flags, then where should he post his flag?
Answers
The coordinates of Niharika's flag =(2,25)
The coordinates of Preet's flag =(8,20)
let A=(2,25)
B=(8,20)
m:n=1:4
x={(1*8)+(4*2)}/5
={8+8}/5
=16/5
=3.2
y={(20*1)+(25*4)}/5
y={20+100}/5
={120}/5
=24
(x,y)=3.2,24
Answer:
Joy should place his flag at a distance of one-fourth of the distance between the green and red flags, measured from the green flag.
Step-by-step explanation:
Let's assume that the distance between the green and red flags is represented by the variable d. According to the problem statement, Joy has to place his flag at one-fourth distance from the green flag. That means the distance between the green flag and Joy's flag is one-fourth of d.
Let's represent the distance between the green flag and Joy's flag by x. Then, the distance between Joy's flag and the red flag is (3/4)d, because we know that the sum of the distances between the green flag and Joy's flag, and between Joy's flag and the red flag is d.
So, we can write:
x + (3/4)d = d
Solving for x, we get:
x = (1/4)d
Therefore, Joy should place his flag at a distance of one-fourth of the distance between the green and red flags, measured from the green flag.
If d = 4 units, then Joy should place his flag at a distance of 1 unit from the green flag, towards the red flag.
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