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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. midpoint Pa 9-W 2 , endpoint (p, q) Select one: O A. (a, w) о в (а, w) O D. 3p+a 3g-w

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. midpoint Pa 9-W 2 , endpoint (p, q) Select one: O A. (a, w) о в (а, w) O D. 3p+a 3g-w

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Find the Coordinates of the Other Endpoint of the Segment** Given the midpoint and one endpoint, find the coordinates of the other endpoint of the segment. ### Midpoint Formula: - Given Midpoint: \(\left(\frac{p+a}{2}, \frac{q-w}{2}\right)\) - Endpoint: \((p, q)\) ### Options: Select one: A. \((a, w)\) B. \((a, -w)\) C. \(\left(\frac{a}{2}, -\frac{w}{2}\right)\) D. \(\left(\frac{3p+a}{4}, \frac{3q-w}{4}\right)\) --- **Find the Center-Radius Form of the Equation of the Circle** - Center: \((4, 0)\) - Radius: \(\sqrt{7}\) --- **Explanation**: This problem involves determining the unknown endpoint of a line segment using a given midpoint and one endpoint. Use the midpoint formula to solve for the unknown endpoint. Then, find the equation of a circle with the given center and radius.
Transcribed Image Text:**Find the Coordinates of the Other Endpoint of the Segment** Given the midpoint and one endpoint, find the coordinates of the other endpoint of the segment. ### Midpoint Formula: - Given Midpoint: \(\left(\frac{p+a}{2}, \frac{q-w}{2}\right)\) - Endpoint: \((p, q)\) ### Options: Select one: A. \((a, w)\) B. \((a, -w)\) C. \(\left(\frac{a}{2}, -\frac{w}{2}\right)\) D. \(\left(\frac{3p+a}{4}, \frac{3q-w}{4}\right)\) --- **Find the Center-Radius Form of the Equation of the Circle** - Center: \((4, 0)\) - Radius: \(\sqrt{7}\) --- **Explanation**: This problem involves determining the unknown endpoint of a line segment using a given midpoint and one endpoint. Use the midpoint formula to solve for the unknown endpoint. Then, find the equation of a circle with the given center and radius.
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