sugaandmochis
sugaandmochis sugaandmochis
  • 13-09-2020
  • Mathematics
contestada

WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

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Averysmartperson
Averysmartperson Averysmartperson
  • 13-09-2020

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal

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