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Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant does the line with equation y=2.5x+2 intersect the circle with radius 6 and center (0, 2)?

Respuesta :

wolffiegirl
x² + ((1.5x + 3) - 3)² = 16 
x² + (1.5x)² = 16 
x² + 2.25x² = 16 
3.25x² = 16 
x = 8√(13)/13 
x ≈ 2.219 
and so 
y = 1.5(8√(13)/13)+ 3 
   ≈ 6.328 
so 
(2.219, 6.328) 

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