Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

how do you find the missing endpoint if P is the midpoint of line NQ

N(2,0) P(5,2)

Sagot :

luana
[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]
Lilith
 [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]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.