Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Using proportions, it is found that the coordinates of point T are given as follows: T(5,2).
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, point T partitions the segment DF in a 2:1 ratio, hence:
[tex]T - D = \frac{2}{2+1}(F - D)[/tex]
[tex]T - D = \frac{2}{3}(F - D)[/tex]
This is applied for both coordinates, hence, for the x-coordinate:
[tex]x - 1 = \frac{2}{3}(7 - 1)[/tex]
x - 1 = 4
x = 5
For the y-coordinate:
[tex]y - 4 = \frac{2}{3}(1 - 4)[/tex]
y - 4 = -2
y = 2.
Hence, the coordinates of point T are: T(5,2).
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any 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. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
