Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Find x so the distance between (x,2) and (1,5) is 13.

Sagot :

[tex]A(x_1;\ y_1);\ B(x_2;\ y_2)\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\----------------\\\sqrt{(1-x)^2+(5-2)^2}=13\\(1-x)^2+3^2=169\\(1-x)^2=169-9\\(1-x)^2=160\\1-x=\pm\sqrt{160}\\-x=\pm\sqrt{16\times10}-1\\-x=\pm4\sqrt{10}-1\\\boxed{x=1\pm4\sqrt{10}}[/tex]


[tex]\sqrt{(1-x)^2+(5-2)^2}=\sqrt{13}\\(1-x)^2+3^2=13\\(1-x)^2=13-9\\(1-x)^2=4\\1-x=\pm\sqrt4\\-x=\pm2-1\\-x=-2-1\ or\ -x=2-1\\-x=-3\ or\ -x=1\\\boxed{x=3\ or\ x=-1}[/tex]
View image Аноним
View image Аноним
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.