{"id":3914,"date":"2022-02-05T19:55:27","date_gmt":"2022-02-05T19:55:27","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3914"},"modified":"2022-02-28T17:59:57","modified_gmt":"2022-02-28T17:59:57","slug":"distance-formula-problems","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/distance-formula-problems\/","title":{"rendered":"Distance Formula Problems"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Distance Formula Problems<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Find the distance between two points using the distance formula.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Substitute the x- and y-coordinates into the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane\">distance formula<\/a><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=&space;\\sqrt{{(x_{1}-x_{2})^{_{2}}+(y_{1}-y_{2})^{_{2}}}}\" alt=\"\\fn_phv d = \\sqrt{{(x_{1}-x_{2})^{_{2}}+(y_{1}-y_{2})^{_{2}}}}\" align=\"absmiddle\" \/><\/p>\n<p>2. Solve using order of operations.<br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #339966;\">Use the distance formula to find the distance between X(-7, 5) and Y(2, -6). Round the answer to the nearest tenth.<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Substitute the x- and y-coordinates into the distance formula.<\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=&space;\\sqrt{{(x_{1}-x_{2})^{_{2}}+(y_{1}-y_{2})^{_{2}}}}\" alt=\"\\fn_phv d = \\sqrt{{(x_{1}-x_{2})^{_{2}}+(y_{1}-y_{2})^{_{2}}}}\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=&space;\\sqrt{{(-7-2)^{_{2}}+(5-(-6))^{_{2}}}}\" alt=\"\\fn_phv d = \\sqrt{{(-7-2)^{_{2}}+(5-(-6))^{_{2}}}}\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=&space;\\sqrt{(-9)^{_{2}}+(11)^{_{2}}}\" alt=\"\\fn_phv d = \\sqrt{(-9)^{_{2}}+(11)^{_{2}}}\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=&space;\\sqrt{(81+121)}\" alt=\"\\fn_phv d = \\sqrt{(81+121)}\" align=\"absmiddle\" \/><\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;d&space;=\\sqrt{(202)}&space;\\approx&space;{\\color{Red}&space;14.2}\" alt=\"\\fn_phv d =\\sqrt{(202)} \\approx {\\color{Red} 14.2}\" align=\"absmiddle\" \/><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Distance Formula Problems[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Use the distance formula to find the distance between X(-1,2) and Y(2, -4). Round the answer to the nearest tenth.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane\"><img loading=\"lazy\" class=\"alignnone wp-image-2854 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-7.png\" alt=\"Distance Formula Problems Practice Problem 1\" width=\"169\" height=\"48\" \/><\/a><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Anna owns a cornfield and has placed fences around four poles, A, B, C, and D, that define the edges of the field. She needs to drive around every day to check the fences. The four poles are located at A(-4,1), B(8,-4), C(-4,-9), and D(-16,-4) if a map of the field is drawn on the coordinate plane and 1 unit represents 1 km. How many kilometers will Anna drive if she starts at pole A and drives towards pole B?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane\"><img loading=\"lazy\" class=\"alignnone wp-image-2856 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2.png\" alt=\"Distance Formula Problems Practice Problem 2\" width=\"152\" height=\"46\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2.png 152w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2-150x46.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/a><br \/>\n<\/strong><\/span><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 5px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Two lighthouses are located in the ocean. The coastguard on duty needs to calculate how far apart they are. He creates a map on the coordinate plane where each unit on the plane represents 1 kilometer. Lighthouse A is at the point (-10, 7), and lighthouse B is located at the points (7, -3). What is the distance between the lighthouses to the nearest tenth of a kilometer?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane\"><img loading=\"lazy\" class=\"alignnone wp-image-2856 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2.png\" alt=\"Distance Formula Problems Practice Problem 3\" width=\"152\" height=\"46\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2.png 152w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-2-150x46.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/a><br \/>\n<\/strong><\/span><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/distance-on-a-coordinate-plane”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Distance<\/strong>\u00a0is a numerical measurement of how far apart objects or points are. The\u00a0distance\u00a0between two points is the length of a straight line segment that links them.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/pythagorean-theorem\"><span style=\"color: #ed5600;\">Pythagorean Theorem<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/applications-of-the-pythagorean-theorem\"><span style=\"color: #ed5600;\">Applications of the Pythagorean Theorem<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635231888260{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/Graph-Points-on-Coordinate-Plane-g5\"><span style=\"color: #333399;\">Graph Points on Coordinate Plane<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/graph-objects-on-a-coordinate-plane-G6\"><span style=\"color: #333399;\">Graph Objects on a Coordinate Plane<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Trigonometry” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ftrigonometry|title:Trigonometry||”][vc_btn title=”Word Problems” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Distance Formula Problems [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Find the distance between two points using the distance formula.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Substitute the x- and y-coordinates into the distance formula 2. Solve using order of operations. [\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Use […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Distance Formula Problems | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/distance-formula-problems\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Distance Formula Problems\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Distance Formula Problems [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Find the distance between two points using the distance formula.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Substitute the x- and y-coordinates into the distance formula 2. Solve using order of operations. 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Substitute the x- and y-coordinates into the distance formula 2. Solve using order of operations. 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