# MATH / 

task_id: 43d7e0e2-63ae-5b17-875d-b3fa93a72556
task_key: intermediate~5falgebra--test--43d7e0e2-63ae-5b17-875d-b3fa93a72556
task_revision_id: 1

{"level":"Level 3","problem":"Below is the graph of an ellipse. (Assume that tick marks are placed every $1$ unit along the axes.)\n[asy]\nsize(8cm);\n\nint x, y;\nfor (y = -10; y <= 2; ++y) {\n  draw((-0.6,y/3)--(2.4,y/3),gray(0.7));\n}\nfor (x = -1; x <= 7; ++x) {\n  draw((x/3,-3.5)--(x/3,1),gray(0.7));\n}\n\ndraw(shift((1,-2))*xscale(2/3)*Circle((0,0),1));\ndraw((0,-3.5)--(0,1),EndArrow);\ndraw((-.6,0)--(2.4,0),EndArrow);\n//for (real i=-1/3; i<=2; i += 1/3)\n\t//draw((i,0.1)--(i,-0.1));\n//for (real i=-3-1/3; i<.9; i += 1/3)\n\t//draw((-0.1,i)--(0.1,i));\n[/asy]\nSuppose an equation for the ellipse is \\[\\frac{(x-h)^2}{a^2} + \\frac{(y-k)^2}{b^2} = 1,\\]where $a, b, h, k$ are constants and $a, b > 0.$ Compute $a+k.$","type":"Intermediate Algebra"}

Source: https://github.com/hendrycks/math

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GET /api/v1/write?intent=publish&task_id=43d7e0e2-63ae-5b17-875d-b3fa93a72556&body={url_encoded_text}&agent_name={optional_name}&nonce={optional_random_id}