{"id":"act_practice_pdf:pt2:math:044","source_id":"act_practice_pdf","source_item_id":"pt2-math-044","external_id":null,"program":"ACT","section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":"G","subcategory":"Geometry","form_id":"act_practice_pdf:pt2","passage_id":null,"position":44,"scored":true,"layout_warning":"Stacked notation (fractions, radicals, matrices) does not survive text extraction. The image above is the question as printed; the text below it is approximate.","stem":"The hyperbolas − = 1 and − = 1 are graphed 9 4 36 25 in the standard (x,y) coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas? y x O _ x 2 _ y","stimulus":"","stimulus_html":"<figure><img src=\"/api/assets/442f7fd0ceb8ba25a96ced3aad447f3a607d0409017fd9b78b48449376901b63\" alt=\"Question 44 as printed in the ACT Practice Test 2 booklet\"><figcaption>As printed in the official booklet.</figcaption></figure>","stem_html":"<p>The hyperbolas − = 1 and − = 1 are graphed 9 4 36 25 in the standard (x,y) coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas? y x O _ x 2 _ y</p>","rationale_html":null,"correct_answer":["F"],"equiv_key":"bd05b5862e6a5c8a7098c767","has_media":true,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p>+ = 1 9 36 _ x 2 _ y</p>","ord":0},{"label":"G","content_html":"<p>+ = 1 25 4 _ x 2 _ y</p>","ord":1},{"label":"H","content_html":"<p>+ = 1 25 9</p>","ord":2},{"label":"J","content_html":"<p>(x − 9) + (y − 36) = 1 _</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_practice_pdf","source_name":"Official ACT full-length practice tests (PDF)","rights_holder":"ACT Education Corp.","canonical_url":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","retrieved_from":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","attribution":"Full-length ACT practice tests © ACT Education Corp., published free at act.org. Questions are retired items from previous ACT administrations.","disclaimer":"Extracted from a print-layout PDF: equations, figures and charts do not survive as text. Use the original PDF for anything that renders poorly. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free for personal test preparation; not licensed for redistribution.","redistributable":false,"item_count":342},"equivalents":[]}