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2024 AMC 10B Problem 9

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2024 AMC 10B Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 2 min · position P1-10

Real numbers a,b,a, b, and cc have arithmetic mean 00 . The arithmetic mean of a2,b2,a^2, b^2, and c2c^2 is 1010 . What is the arithmetic mean of ab,ac,ab, ac, and bcbc ?

  1. A)

    −5-5

  2. B)

    −103-\dfrac{10}{3}

  3. C)

    −109-\dfrac{10}{9}

  4. D)

    00

  5. E)

    109\dfrac{10}{9}

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