.
The number of pairs of integers (x,y) that satisfy both x^2+y^2<( is less or equal to) 36 and y=-4 is
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. . . is the same as the number of integers x such that x^2 <= 20,
i.e. 9: {x of Z | x^2 <= 20} = {-4, -3, -2, -1, 0, 1, 2, 3, 4}.