{"id":25044,"date":"2023-04-14T17:28:21","date_gmt":"2023-04-14T16:28:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25044"},"modified":"2023-04-22T17:03:23","modified_gmt":"2023-04-22T16:03:23","slug":"tres-retas-paralelas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25044","title":{"rendered":"Tr\u00eas retas paralelas"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25044' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25044' class='GTTabs_curr'><a  id=\"25044_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25044' ><a  id=\"25044_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_25044'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na figura, est\u00e3o representadas tr\u00eas retas paralelas <em>r<\/em>, <em>s<\/em> e <em>t<\/em> que representam graficamente tr\u00eas fun\u00e7\u00f5es, respetivamente, <em>f<\/em>, <em>g<\/em> e <em>h<\/em>.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25045\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25045\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\" data-orig-size=\"312,281\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag169-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\" class=\"aligncenter wp-image-25045\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1-300x270.png\" alt=\"\" width=\"300\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1-300x270.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png 312w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Sabendo que a fun\u00e7\u00e3o <em>g<\/em> se define algebricamente por \\(g\\left( x \\right) = 0,8x\\), que a reta <em>r<\/em> passa no ponto \\(R\\left( {0;\\;1,2} \\right)\\) e que a reta <em>t<\/em> passa no ponto \\(T\\left( {0;\\; &#8211; 0,6} \\right)\\), indica uma express\u00e3o alg\u00e9brica para cada uma das fun\u00e7\u00f5es <em>f<\/em> e <em>h<\/em>.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25044' onClick='GTTabs_show(1,25044)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25044'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<blockquote>\n<p>Na figura, est\u00e3o representadas tr\u00eas retas paralelas <em>r<\/em>, <em>s<\/em> e <em>t<\/em> que representam graficamente tr\u00eas fun\u00e7\u00f5es, respetivamente, <em>f<\/em>, <em>g<\/em> e <em>h<\/em>.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25045\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25045\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\" data-orig-size=\"312,281\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag169-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png\" class=\"aligncenter wp-image-25045\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1-300x270.png\" alt=\"\" width=\"300\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1-300x270.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1.png 312w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<blockquote>\n<p>Sabendo que a fun\u00e7\u00e3o <em>g<\/em> se define algebricamente por \\(g\\left( x \\right) = 0,8x\\), que a reta <em>r<\/em> passa no ponto \\(R\\left( {0;\\;1,2} \\right)\\) e que a reta <em>t<\/em> passa no ponto \\(T\\left( {0;\\; &#8211; 0,6} \\right)\\), indica uma express\u00e3o alg\u00e9brica para cada uma das fun\u00e7\u00f5es <em>f<\/em> e <em>h<\/em>.<\/p>\n<\/blockquote>\n<p><br \/>Como as tr\u00eas retas retas s\u00e3o paralelas, ent\u00e3o t\u00eam iguais declives.<br \/>Assim, \\({a_r} = {a_t} = {a_s} = 0,8\\).<\/p>\n<p>Como a reta <em>r<\/em> passa no ponto \\(R\\left( {0;\\;1,2} \\right)\\), ent\u00e3o a ordenada na origem desta reta \u00e9 \\({b_r} = 1,2\\).<br \/>Assim, \\(y = 0,8x + 1,2\\) \u00e9 uma equa\u00e7\u00e3o da reta <em>r<\/em>.<br \/>Logo, \\(f\\left( x \\right) = 0,8x + 1,2\\).<\/p>\n<p>Como a reta <em>t<\/em> passa no ponto \\(T\\left( {0;\\; &#8211; 0,6} \\right)\\), ent\u00e3o a ordenada na origem desta reta \u00e9 \\({ &#8211; 0,6}\\).<br \/>Assim, \\(y = 0,8x &#8211; 0,6\\) \u00e9 uma equa\u00e7\u00e3o da reta <em>t<\/em>.<br \/>Logo, \\(h\\left( x \\right) = 0,8x &#8211; 0,6\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25044' onClick='GTTabs_show(0,25044)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura, est\u00e3o representadas tr\u00eas retas paralelas r, s e t que representam graficamente tr\u00eas fun\u00e7\u00f5es, respetivamente, f, g e h. Sabendo que a fun\u00e7\u00e3o g se define algebricamente por \\(g\\left(&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25046,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344],"series":[],"class_list":["post-25044","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-afim","tag-grafico"],"views":97,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25044","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=25044"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25044\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25046"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25044"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25044"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25044"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25044"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}