Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The midpoint of line AB is (14,26). One endpoint of line AB is A(32, 40). What are the coordinates of B?
A. B(-4,-12)
B. B(0,0)
C. B(-4,12)
D. B(23,33)

Sagot :

naǫ
The coordinates of the midpoint:
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
(x₁,y₁) - the coordinates of one endpoint
(x₂,y₂) - the coordinates of the other endpoint

The midpoint is (14,26).
One endpoint is A(32,40).
The other endpoint is B.

The x-coordinate of B:
[tex]\frac{32+x}{2}=14 \ \ \ |\times 2 \\ 32+x=28 \ \ \ |-32 \\ x=-4[/tex]

The y-coordinate of B:
[tex]\frac{40+y}{2}=26 \ \ \ |\times 2 \\ 40+y=52 \ \ \ |-40 \\ y=12[/tex]

The coordinates of B are (-4,12) - the answer is C.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.