davimancebo davimancebo
  • 24-07-2020
  • Mathematics
contestada

Determine the points of intersection of the equation circumference x² + (y-3) ² = 25 with the coordinate axes.

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valerieulbrich
valerieulbrich valerieulbrich
  • 24-07-2020

Answer:

(4, 0), (-4, 0), (0, -2), (0, 8)

Step-by-step explanation:

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sqdancefan
sqdancefan sqdancefan
  • 24-07-2020

Answer:

  (0, -2), (4, 0), (0, 8), (-4, 0)

Step-by-step explanation:

The y-intercepts are found by solving for y when x=0.

  (y -3)² = 25

  y -3 = ±5 . . . . . take the square root

  y = 3 ± 5 = {-2, 8}

The x-intercepts are found by solving for x when y=0.

  x² +(0-3)² = 25

  x² = 16 . . . . . . . . subtract 9

  x = ±4 . . . . . . . . .take the square root

The y-intercepts are (0, -2) and (0, 8).

The x-intercepts are (-4, 0) and (4, 0).

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