{"id":124135,"date":"2024-04-22T01:00:36","date_gmt":"2024-04-22T01:00:36","guid":{"rendered":"https:\/\/www.todamateriabr.com.br\/blog\/?p=124135"},"modified":"2025-07-13T15:28:44","modified_gmt":"2025-07-13T15:28:44","slug":"9-y2-z2-1","status":"publish","type":"post","link":"https:\/\/www.todamateriabr.com.br\/blog\/9-y2-z2-1\/","title":{"rendered":"Dada a equa\u00e7\u00e3o geral x2 – 9y2 – 9z2 – 9 = 0, determine a eq"},"content":{"rendered":"

Pergunta:<\/h2>\n

Dada a equa\u00e7\u00e3o geral x2 – 9y2 – 9z2 – 9 = 0, determine a equa\u00e7\u00e3o can\u00f4nica assinalando a alternativa correta:\u200b\u200b\u200b\u200b\u200b\u200b\u200b A. – x2 – y2- z2 = 1. B. x2 – y2 – z2 = 1. C. -x2\/9 + y2 – z2 = 1 D. -x2\/9 – y2 – z2 = 0 E. x2\/9 – y2 – z2 = 1 <\/p>\n

\n
Respostas <\/p>\n\n

<\/p>\n

<\/strong><\/p>\n<\/p>\n

x\u00b2 – 9y\u00b2 – 9z\u00b2 – 9 = 0<\/p>\n

\u00c9 uma hiperbole.<\/p>\n

Forma can\u00f4nica:
x\u00b2\/a\u00b2 – \u00a0y\u00b2\/b\u00b2 – z\u00b2\/c\u00b2 \u00a0= 1<\/p>\n

Confrontando \u00a0com:
x\u00b2 – 9y\u00b2 – 9z\u00b2 – 9 = 0
x\u00b2 – 9y\u00b2 – 9z\u00b2 \u00a0= 9 <\/p>\n

Dividindo tudo por 9
x\u00b2 – 9y\u00b2 – 9z\u00b2 \u00a0= 9
x\u00b2\/9 – \u00a0y\u00b2 – \u00a0z\u00b2 \u00a0= 1 <\/p>\n<\/p>\n

E)
x\u00b2\/9 – y\u00b2 – z\u00b2 = \u00a01<\/strong><\/p>\n

<\/span> <\/p>\n

<\/a> <\/a> <\/a> <\/a> <\/p>\n","protected":false},"excerpt":{"rendered":"

Resposta para a quest\u00e3o:
\nDada a equa\u00e7\u00e3o geral x2 – 9y2 – 9z2 – 9 = 0, determine a equa\u00e7\u00e3o can\u00f4nica assinalando a alternativa correta:\u200b\u200b\u200b\u200b\u200b\u200b\u200b A. – x2 – y2- z2 = 1. B. x2 – y2 – z2 = 1. C. -x2\/9 + y2 – z2 = 1 D. -x2\/9 – y2 – z2 = 0 E. x2\/9 – y2 – z2 = 1 <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-124135","post","type-post","status-publish","format-standard","hentry","category-perguntas-e-respostas"],"_links":{"self":[{"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/posts\/124135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/comments?post=124135"}],"version-history":[{"count":0,"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/posts\/124135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/media?parent=124135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/categories?post=124135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.todamateriabr.com.br\/blog\/wp-json\/wp\/v2\/tags?post=124135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}