The equation the fraction with numerator open paren y minus 8 close paren squared and denominator 49 plus the fraction with numerator open paren x minus 1 close paren squared and denominator 36 is equal to 1 represents an ellipse. Which points are the approximate locations of the foci of the ellipse? Round to the nearest tenth.

The ellipse is centered at (1, 8). Its larger denominator is 49, under the y-term, so the major axis is vertical, with a² = 49 and b² = 36. The foci are c = √(a² − b²) = √(49 − 36) = √13 ≈ 3.6 units above and below the center. Thus they are approximately (1, 4.4) and (1, 11.6), the points listed in choice C.

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