Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

19. Elein and Naya wanted to meet between their
houses at midpoint (4,1). If Elien's house is at point
A. (7,-1.5)
(10,-4).
B. (-2,6)
Find the coordinates of Naya's house.
C. (0,0)

Sagot :

MrRoyal

Answer:

[tex](-2,6)[/tex]

Step-by-step explanation:

Given

[tex]Elena = (10,-4)[/tex]

[tex]Midpoint = (4,1)[/tex]

Required

Determine the coordinates of Naya's

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

In this case:

[tex](x_1,y_1) = (10,-4)[/tex]

[tex](x,y) = (4,1)[/tex]

So, we have:

[tex](4,1) = \frac{1}{2}(10+x_2,-4+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,1) = \frac{1}{2}(10+x_2,-4+y_2) * 2[/tex]

[tex](8,2) = (10+x_2,-4+y_2)[/tex]

By comparison:

[tex]8 = 10 + x_2[/tex]

[tex]2 = -4 + y_2[/tex]

So:

[tex]8 = 10 + x_2[/tex]

[tex]x_2 = 8 - 10[/tex]

[tex]x_2 = -2[/tex]

[tex]2 = -4 + y_2[/tex]

[tex]y_2 =2+4[/tex]

[tex]y_2 =6[/tex]

So, the coordinate is: [tex](-2,6)[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.