Respuesta :

mhanifa

Answer:

  • (1.66, 4.49)

Step-by-step explanation:

Equation of circle:

  • (x - h)² + (y - k)² = r²

Substitute the values of h, k, r to get:

  • x² + (y - 2)² = 3²
  • x² + (y - 2)² = 9

The line is:

  • y = 1.5x + 2

Substitute y into equation of circle and solve for positive x, since we are interested in the intersection in the first quadrant:

  • x² + (1.5x + 2 - 2)² = 9
  • x² + 2.25x² = 9
  • 3.25x² = 9
  • x² = 9/3.25
  • x ≈ 1.66

Find corresponding value of y:

  • y = 1.5*1.66 - 2 = 4.49

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