{"status": "success", "data": {"description_md": "The graph of $y=x^2+2x-15$ intersects the $x$-axis at points $A$ and $C$ and the $y$-axis at point $B$. What is $\\tan(\\angle ABC)$?\n\n$\\textbf{(A) }\\frac{1}{7} \\qquad \\textbf{(B) }\\frac{1}{4} \\qquad \\textbf{(C) }\\frac{3}{7} \\qquad \\textbf{(D) }\\frac{1}{2} \\qquad \\textbf{(E) }\\frac{4}{7}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The graph of  <span class=\"katex--inline\">y=x^2+2x-15</span>  intersects the  <span class=\"katex--inline\">x</span> -axis at points  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">C</span>  and the  <span class=\"katex--inline\">y</span> -axis at point  <span class=\"katex--inline\">B</span> . What is  <span class=\"katex--inline\">\\tan(\\angle ABC)</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac{1}{7} \\qquad \\textbf{(B) }\\frac{1}{4} \\qquad \\textbf{(C) }\\frac{3}{7} \\qquad \\textbf{(D) }\\frac{1}{2} \\qquad \\textbf{(E) }\\frac{4}{7}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2022 AMC 12B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12B_p15", "prev": "/problem/22_amc12B_p13"}}