{"id":3461,"date":"2010-10-03T18:12:30","date_gmt":"2010-10-03T17:12:30","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=3461"},"modified":"2022-01-18T22:41:26","modified_gmt":"2022-01-18T22:41:26","slug":"tres-casas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=3461","title":{"rendered":"Tr\u00eas casas"},"content":{"rendered":"<p><ul id='GTTabs_ul_3461' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_3461' class='GTTabs_curr'><a  id=\"3461_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_3461' ><a  id=\"3461_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_3461'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3465\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=3465\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" data-orig-size=\"613,197\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Casas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" class=\"alignright wp-image-3465\" title=\"Casas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" alt=\"\" width=\"500\" height=\"161\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg 613w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-300x96.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-150x48.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-400x128.jpg 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a>Na figura est\u00e1 representada uma estrada em que existem tr\u00eas casas: A, B e C.<\/p>\n<p>A dist\u00e2ncia entre A e B \u00e9 o triplo da dist\u00e2ncia entre B e C.<\/p>\n<p>Qual a dist\u00e2ncia entre A e B?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_3461' onClick='GTTabs_show(1,3461)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_3461'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3465\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=3465\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" data-orig-size=\"613,197\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Casas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" class=\"alignright wp-image-3465\" title=\"Casas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg\" alt=\"\" width=\"500\" height=\"161\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas.jpg 613w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-300x96.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-150x48.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/casas-400x128.jpg 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/>Designando por $y$ a dist\u00e2ncia entre as casas B e C, ent\u00e3o $3y$ representar\u00e1 a dist\u00e2ncia entre as casas A e B.<\/p>\n<p>Assim, temos: \\[\\begin{array}{*{35}{l}}<br \/>\n3y+y=72 &amp; \\Leftrightarrow\u00a0 &amp; 4y=72\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; y=18\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>Logo, a dist\u00e2ncia entre as casas A e B \u00e9 de 54 Km ($3\\times 18$).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_3461' onClick='GTTabs_show(0,3461)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura est\u00e1 representada uma estrada em que existem tr\u00eas casas: A, B e C. A dist\u00e2ncia entre A e B \u00e9 o triplo da dist\u00e2ncia entre B e C. Qual&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20614,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,101],"tags":[424,425],"series":[],"class_list":["post-3461","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes","tag-8-o-ano","tag-equacoes"],"views":1617,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/7V2Pag067-16_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/3461","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=3461"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/3461\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20614"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3461"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3461"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3461"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=3461"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}