casepeyton99
casepeyton99 casepeyton99
  • 25-08-2021
  • Mathematics
contestada

find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4)​ K(5,-3)​

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devishri1977
devishri1977 devishri1977
  • 25-08-2021

Answer:

Step-by-step explanation:

J (-1,4)​  ⇒      x₁ = -1 & y₁ = 4

K(5,-3)​  ⇒      x₂ = 5  ; y₂ = -3

m : n = 1/3 : 2/3 = 1 :2

[tex]X \left(\dfrac{mx_{2}+nx_{1}}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\\\X \left(\dfrac{1*5+2*(-1)}{1+2},\dfrac{1*(-3)+2*4}{1+2} \right) \\\\\\X \left(\dfrac{5-2}{3},\dfrac{-3+8}{3} \right)\\\\\\X \left(\dfrac{3}{3},\dfrac{5}{3} \right)\\\\\\X \left( 1 , \dfrac{5}{3} \right)[/tex]

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ciscero9323 ciscero9323
  • 01-09-2021
The answer to this question is D
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