{"id":1306,"date":"2019-06-13T18:38:28","date_gmt":"2019-06-13T22:38:28","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1306"},"modified":"2019-06-13T19:05:34","modified_gmt":"2019-06-13T23:05:34","slug":"answer-key-3-2","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-3-2\/","title":{"raw":"Answer Key 3.2","rendered":"Answer Key 3.2"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(6--6)^2&+&(4--1)^2 \\\\\r\nd^2&=&12^2&+&5^2 \\\\\r\nd^2&=&144&+&25 \\\\\r\nd^2&=&169&& \\\\\r\nd^2&=&\\sqrt{169}&& \\\\\r\nd&=&13&&\r\n\\end{array}\\)<\/li>\r\n \t
  2. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(5-1)^2&+&(-1--4)^2 \\\\\r\nd^2&=&4^2&+&3^2 \\\\\r\nd^2&=&16&+&9 \\\\\r\nd^2&=&25&& \\\\\r\nd^2&=&\\sqrt{25}&& \\\\\r\nd&=&5&&\r\n\\end{array}\\)<\/li>\r\n \t
  3. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(3--5)^2&+&(5--1)^2 \\\\\r\nd^2&=&8^2&+&6^2 \\\\\r\nd^2&=&64&+&36 \\\\\r\nd^2&=&100&& \\\\\r\nd^2&=&\\sqrt{100}&& \\\\\r\nd&=&10&&\r\n\\end{array}\\)<\/li>\r\n \t
  4. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(12-6)^2&+&(4--4)^2 \\\\\r\nd^2&=&6^2&+&8^2 \\\\\r\nd^2&=&36&+&64 \\\\\r\nd^2&=&100&& \\\\\r\nd^2&=&\\sqrt{100}&& \\\\\r\nd&=&10&&\r\n\\end{array}\\)<\/li>\r\n \t
  5. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(4--8)^2&+&(3--2)^2 \\\\\r\nd^2&=&12^2&+&5^2 \\\\\r\nd^2&=&144&+&25 \\\\\r\nd^2&=&169&& \\\\\r\nd^2&=&\\sqrt{169}&& \\\\\r\nd&=&13&&\r\n\\end{array}\\)<\/li>\r\n \t
  6. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(7-3)^2&+&(1--2)^2 \\\\\r\nd^2&=&4^2&+&3^2 \\\\\r\nd^2&=&16&+&9 \\\\\r\nd^2&=&25&& \\\\\r\nd^2&=&\\sqrt{25}&& \\\\\r\nd&=&5&&\r\n\\end{array}\\)<\/li>\r\n \t
  7. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(-2--10)^2&+&(0--6)^2 \\\\\r\nd^2&=&8^2&+&6^2 \\\\\r\nd^2&=&64&+&36 \\\\\r\nd^2&=&100&& \\\\\r\nd^2&=&\\sqrt{100}&& \\\\\r\nd&=&10&&\r\n\\end{array}\\)<\/li>\r\n \t
  8. \\(\\begin{array}{lllll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nd^2&=&\\Delta x^2&+&\\Delta y^2 \\\\\r\nd^2&=&(14-8)^2&+&(6--2)^2 \\\\\r\nd^2&=&6^2&+&8^2 \\\\\r\nd^2&=&36&+&64 \\\\\r\nd^2&=&100&& \\\\\r\nd^2&=&\\sqrt{100}&& \\\\\r\nd&=&10&&\r\n\\end{array}\\)<\/li>\r\n \t
  9. \\(\\left(\\dfrac{6+-6}{2}, \\dfrac{5+-1}{2}\\right)\\Rightarrow \\left(\\dfrac{0}{2}, \\dfrac{4}{2}\\right) \\Rightarrow (0,2)\\)<\/li>\r\n \t
  10. \\(\\left(\\dfrac{5+1}{2}, \\dfrac{-2+-4}{2}\\right)\\Rightarrow \\left(\\dfrac{6}{2}, \\dfrac{-6}{2}\\right)\\Rightarrow (3,-3)\\)<\/li>\r\n \t
  11. \\(\\left(\\dfrac{3+-5}{2}, \\dfrac{5+-1}{2}\\right)\\Rightarrow \\left(\\dfrac{-2}{2}, \\dfrac{4}{2}\\right)\\Rightarrow (-1,2)\\)<\/li>\r\n \t
  12. \\(\\left(\\dfrac{12+6}{2}, \\dfrac{4+-4}{2}\\right)\\Rightarrow \\left(\\dfrac{18}{2}, \\dfrac{0}{2}\\right) \\Rightarrow (9,0)\\)<\/li>\r\n \t
  13. \\(\\left(\\dfrac{-8+6}{2}, \\dfrac{-1+7}{2}\\right)\\Rightarrow \\left(\\dfrac{-2}{2}, \\dfrac{6}{2}\\right) \\Rightarrow (-1,3)\\)<\/li>\r\n \t
  14. \\(\\left(\\dfrac{1+3}{2}, \\dfrac{-6+-2}{2}\\right)\\Rightarrow \\left(\\dfrac{4}{2}, \\dfrac{-8}{2}\\right) \\Rightarrow (2,-4)\\)<\/li>\r\n \t
  15. \\(\\left(\\dfrac{-7+3}{2}, \\dfrac{-1+9}{2}\\right)\\Rightarrow \\left(\\dfrac{-4}{2}, \\dfrac{8}{2}\\right) \\Rightarrow (-2,4)\\)<\/li>\r\n \t
  16. \\(\\left(\\dfrac{2+12}{2}, \\dfrac{-2+4}{2}\\right)\\Rightarrow \\left(\\dfrac{14}{2}, \\dfrac{2}{2}\\right) \\Rightarrow (7,1)\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"\begin{array}{lllll}<\/li>\n
    2. \"\begin{array}{lllll}<\/li>\n
    3. \"\begin{array}{lllll}<\/li>\n
    4. \"\begin{array}{lllll}<\/li>\n
    5. \"\begin{array}{lllll}<\/li>\n
    6. \"\begin{array}{lllll}<\/li>\n
    7. \"\begin{array}{lllll}<\/li>\n
    8. \"\begin{array}{lllll}<\/li>\n
    9. \"\left(\dfrac{6+-6}{2}, \dfrac{5+-1}{2}\right)\Rightarrow \left(\dfrac{0}{2}, \dfrac{4}{2}\right) \Rightarrow (0,2)\"<\/li>\n
    10. \"\left(\dfrac{5+1}{2}, \dfrac{-2+-4}{2}\right)\Rightarrow \left(\dfrac{6}{2}, \dfrac{-6}{2}\right)\Rightarrow (3,-3)\"<\/li>\n
    11. \"\left(\dfrac{3+-5}{2}, \dfrac{5+-1}{2}\right)\Rightarrow \left(\dfrac{-2}{2}, \dfrac{4}{2}\right)\Rightarrow (-1,2)\"<\/li>\n
    12. \"\left(\dfrac{12+6}{2}, \dfrac{4+-4}{2}\right)\Rightarrow \left(\dfrac{18}{2}, \dfrac{0}{2}\right) \Rightarrow (9,0)\"<\/li>\n
    13. \"\left(\dfrac{-8+6}{2}, \dfrac{-1+7}{2}\right)\Rightarrow \left(\dfrac{-2}{2}, \dfrac{6}{2}\right) \Rightarrow (-1,3)\"<\/li>\n
    14. \"\left(\dfrac{1+3}{2}, \dfrac{-6+-2}{2}\right)\Rightarrow \left(\dfrac{4}{2}, \dfrac{-8}{2}\right) \Rightarrow (2,-4)\"<\/li>\n
    15. \"\left(\dfrac{-7+3}{2}, \dfrac{-1+9}{2}\right)\Rightarrow \left(\dfrac{-4}{2}, \dfrac{8}{2}\right) \Rightarrow (-2,4)\"<\/li>\n
    16. \"\left(\dfrac{2+12}{2}, \dfrac{-2+4}{2}\right)\Rightarrow \left(\dfrac{14}{2}, \dfrac{2}{2}\right) \Rightarrow (7,1)\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":19,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1306","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1306","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":6,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1306\/revisions"}],"predecessor-version":[{"id":1313,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1306\/revisions\/1313"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1306\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1306"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1306"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1306"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}