The curves and are drawn on the same set of axes

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The curves y=x2y = x^{2} and y=2x+1y = 2x + 1 are drawn on the same set of axes. What is the distance between their two points of intersection? (a) 10\sqrt{10} (b) 2102\sqrt{10} (c) 424\sqrt{2} (d) 252\sqrt{5}

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