Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
Midpoint: (6.5, 5.5)
Length: 1.41
Explanation:
The midpoint of a segment with endpoints in (x1, y1) and (x2, y2) can be calculated as:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]So, if the coordinates of the endpoints are point C with coordinates (7, 6) and I with coordinates (6, 5), the coordinates of the midpoint are:
[tex](\frac{7+6}{2},\frac{6+5}{2})=(6.5,5.5)[/tex]On the other hand, the distance between two points is calculated as:
[tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]So, the length of the segment that goes from C to I is equal to the distance between points C and I. Then, replacing (x1, y1) by (7, 6) and (x2, y2) by (6, 5), we get:
[tex]\begin{gathered} \sqrt[]{(6-7)^2+(5-6)^2} \\ \sqrt[]{(-1)^2+(-1)^2} \\ \sqrt[]{1+1} \\ \sqrt[]{2}=1.41 \end{gathered}[/tex]Therefore, the coordinates of the midpoint of segment CI are (6.5, 5.5) and the length of the segment is √2 or 1.41 units.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.