Mathematics, 09.07.2019 09:30 Badbpyz7550
Find the coordinates of the point three tenths of the way from a(-4, -8) to b(11, 7)
Answers: 1
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-4,-8)\qquad B(11,7)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:7} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em] ~\dotfill\\\\ C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill](/tpl/images/0068/9545/67282.png)
![\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right) \\\\\\ C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill](/tpl/images/0068/9545/5a1db.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:30, pandamaknae2003
Iwant to know what 3g+5h+4g-2h is my teacher is too selfish to tell us
Answers: 1
Mathematics, 21.06.2019 17:00, joejoefofana
Need on this one asap im almost done with this subject
Answers: 1
Mathematics, 21.06.2019 17:30, ultimateapes
Jacks bank statement shows an account balance of -$25.50. which describes the magnitude, of size, of the debt in dollars
Answers: 2
Mathematics, 21.06.2019 17:30, maddiemalmstrom
Adiverr from the university of florida women’s swimming and diving team is competing in the ncaa zone b championships
Answers: 2
You know the right answer?
Find the coordinates of the point three tenths of the way from a(-4, -8) to b(11, 7)...
Questions in other subjects:
Social Studies, 17.12.2021 17:10
History, 17.12.2021 17:10
History, 17.12.2021 17:10
History, 17.12.2021 17:10
Business, 17.12.2021 17:10
English, 17.12.2021 17:10
