The height of an arch is modeled by the equation y is equal to negative x squared minus 6 x plus 16 Which of the following gives the width of the arch at its base?

The arch meets the ground where y = 0, so its base endpoints are the zeroes of the equation. Solving −x² − 6x + 16 = 0 gives x = −8 and x = 2. The width is the distance between those endpoints, which is the difference between the zeroes, so the correct choice is “the difference between the zeroes.”

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