Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The points we have are:
[tex]\begin{gathered} M\mleft(5,-2\mright) \\ N\mleft(-7,6\mright) \end{gathered}[/tex]We label this points as follows for reference:
[tex]\begin{gathered} x_1=5 \\ y_1=-2 \\ x_2=-7 \\ y_2=6 \end{gathered}[/tex]We have that the ratio is:
[tex]1\colon3[/tex]Where we will call a=1 and b=3.
And we use the following formula for finding the coordinates of a point given the two endpoints and the ratio:
[tex](\frac{bx_1+a_{}x_2}{a+b},\frac{by_1+ay_2}{a+b})[/tex]Substituting our values:
[tex](\frac{3(5)+1(-7)}{1+3},\frac{3(-2)+1(6)}{1+3})[/tex]We solve the operations:
[tex](\frac{15-7}{4},\frac{-6+6}{4})[/tex][tex]\begin{gathered} (\frac{8}{4},\frac{0}{4}) \\ (2,0) \end{gathered}[/tex]Point P is at (2,0)
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
