{"status": "success", "data": {"description_md": "A circle has center $(-10,-4)$ and radius $13$. Another circle has center $(3,9)$ and radius $\\sqrt{65}$. The line passing through the two points of intersection of the two circles has equation $x + y = c$. What is $c$?\n\n$\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 3\\sqrt{3}\\qquad\\textbf{(C)}\\ 4\\sqrt{2}\\qquad\\textbf{(D)}\\ 6\\qquad\\textbf{(E)}\\ \\frac{13}{2}$\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>A circle has center  <span class=\"katex--inline\">(-10,-4)</span>  and radius  <span class=\"katex--inline\">13</span> . Another circle has center  <span class=\"katex--inline\">(3,9)</span>  and radius  <span class=\"katex--inline\">\\sqrt{65}</span> . The line passing through the two points of intersection of the two circles has equation  <span class=\"katex--inline\">x + y = c</span> . What is  <span class=\"katex--inline\">c</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 3\\qquad\\textbf{(B)}\\ 3\\sqrt{3}\\qquad\\textbf{(C)}\\ 4\\sqrt{2}\\qquad\\textbf{(D)}\\ 6\\qquad\\textbf{(E)}\\ \\frac{13}{2}</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": 2, "problem_name": "2017 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p10", "prev": "/problem/17_amc12B_p08"}}