Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
[tex]coordinates\ of\ Q(x,y)\\\\
P(5,2)=(\frac{2+x}{2}\ ;\ \frac{0+y}{2})\\\\5=\frac{2+x}{2}\ \ |*2\\\\10=2+x\\\\
10-2=x\\\\x=8\\\\
2=\frac{0+y}{2}\ \ |*2\\\\
4=y\\\\
Q=(8,4)[/tex]
[tex]N(2,0),\ \ Q(x,y) \ \ midpoint : P(5,2)\\\\ Given \ the \ two \ points \ (x _{1}, y _{1}) and (x _{2}, y _{2}), \\the \ midpoint \ is \ given \ by \ the \ formula: \\\\ (x,y)=(\frac{x_{1}+x_{2}}{2};\frac{y_{1}+y_{2}}{2})\\\\(5,2)=(\frac{2+ x}{2};\frac{0+y}{2}) \frac{2+ x}{2}=5 \ \[/tex]
[tex]\frac{2+ x}{2}=5 \ \ |\ multiply\ both\ sides\ by\ 2 \\\\2+x=10\ \ |\ subtract\ 2 \ to\ both\ sides \\\\x=8[/tex]
[tex]\frac{0+y}{2}=2 \ \ |\ multiply\ both\ sides\ by\ 2 \\\\y=4 \\\\Answer: \ Q (8,4)[/tex]
[tex]\frac{2+ x}{2}=5 \ \ |\ multiply\ both\ sides\ by\ 2 \\\\2+x=10\ \ |\ subtract\ 2 \ to\ both\ sides \\\\x=8[/tex]
[tex]\frac{0+y}{2}=2 \ \ |\ multiply\ both\ sides\ by\ 2 \\\\y=4 \\\\Answer: \ Q (8,4)[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.