Mathematics: Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and given its coordinates A(5,1) and b(-5,4) (NEED THIS ASAP!!)

Given directed line segment AB determine point

Ответ:

notchasedeibel6575

10.02.2022

Mathematics

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

$(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})$

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

$X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})$

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

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Ответ:

slippedsumo

20.09.2021

Mathematics

Step-by-step explanation:

i just took test on e2020

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Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and given its coordinates A(5,1) and b(-5,4) (NEED THIS ASAP!!)

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