olymmath

AMC 12 2022b Problem 14

  • Paper

The graph of y=x2+2x−15y=x^2+2x-15 intersects the xx-axis at points AA and CC and the yy-axis at point BB. What is tan⁡(∠ABC)\tan(\angle ABC)?

(A) 17(B) 14(C) 37(D) 12(E) 47\textbf{(A) }\frac{1}{7} \textbf{(B) }\frac{1}{4} \textbf{(C) }\frac{3}{7} \textbf{(D) }\frac{1}{2} \textbf{(E) }\frac{4}{7}

Dataset text AMC 12 2000 to 2025. Quoted with source.

Show the answer

E

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator amc12/2022b/p14 · Tag 31YMGPWV8D · Edit this page on GitHub · Keys: j next, k previous