{"id":14615,"date":"2018-04-17T18:50:58","date_gmt":"2018-04-17T17:50:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14615"},"modified":"2022-01-09T22:05:21","modified_gmt":"2022-01-09T22:05:21","slug":"duas-grandezas-inversamente-proporcionais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14615","title":{"rendered":"Duas grandezas inversamente proporcionais"},"content":{"rendered":"<p><ul id='GTTabs_ul_14615' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14615' class='GTTabs_curr'><a  id=\"14615_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14615' ><a  id=\"14615_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_14615'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sejam <em>X<\/em> e <em>Y<\/em> duas grandezas inversamente proporcionais.<br \/>\nSabe-se que quando a medida de <em>X<\/em> \u00e9 3, a medida de <em>Y<\/em> \u00e9 4.<\/p>\n<p>Determina uma express\u00e3o alg\u00e9brica para a fun\u00e7\u00e3o de proporcionalidade inversa associada.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14615' onClick='GTTabs_show(1,14615)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14615'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Se <em>X<\/em> e <em>Y<\/em> s\u00e3o duas grandezas inversamente proporcionais e se, quando a medida de <em>X<\/em> \u00e9 3, a medida de <em>Y<\/em> \u00e9 4, ent\u00e3o:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{X \\times Y = 3 \\times 4}&amp; \\Leftrightarrow &amp;{X \\times Y = 12}\\\\{}&amp; \\Leftrightarrow &amp;{Y = \\frac{{12}}{X}}\\end{array}\\]<\/p>\n<p>Portanto, \\({Y = \\frac{{12}}{X}}\\) \u00e9 uma express\u00e3o alg\u00e9brica para\u00a0a fun\u00e7\u00e3o de proporcionalidade inversa associada.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14615' onClick='GTTabs_show(0,14615)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Sejam X e Y duas grandezas inversamente proporcionais. Sabe-se que quando a medida de X \u00e9 3, a medida de Y \u00e9 4. Determina uma express\u00e3o alg\u00e9brica para a fun\u00e7\u00e3o de&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14615","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-proporcionalidade-inversa-2"],"views":2484,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14615","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14615"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14615\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14615"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}