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bogdanovich [222]
3 years ago
7

Point A is located at ​(4, 8)​ and point B is located at ​(14, 10)​ .

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

point is (13/4 , 17/2)

Step-by-step explanation:

Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,

x = x1 + p/w(x2 - x1)  and y= y1 + p/w(y2 - y1) where w = p+q

It is given that,

Point A is located at ​(4, 8)​ and point B is located at ​(14, 10)​ .

Let P be the point on AB such that P divides AB in the ratio 1:3

<u>Find the coordinates of P(x,y)</u>

w = 1+3 = 4

x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4

y= y1 + p/w(y2 - y1)  = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2

point is (13/4 , 17/2)

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