dreamer6168
dreamer6168 dreamer6168
  • 23-05-2021
  • Mathematics
contestada

The distance between D(-3,5) and E(x, 9) is 15. Find the value(s) of the
missing coordinate.

The distance between D35 and Ex 9 is 15 Find the values of the missing coordinate class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-05-2021

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

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