Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
To answer this question we will use the following formulas to compute the coordinates of the point that divides a segment with terminal points (x₁,y₁) and (x₂,y₂) at a given ratio a:b:
[tex]\begin{gathered} x=\frac{bx_1+ax_2}{b+a}, \\ y=\frac{by_1_{}+ay_2}{b+a}\text{.} \end{gathered}[/tex]Therefore, the coordinates that represent the location of the layover are:
[tex]\begin{gathered} x=\frac{2\times(-4)+3\times5}{2+3}, \\ y=\frac{2\times0+3\times2}{2+3}\text{.} \end{gathered}[/tex]Simplifying the above results we get:
[tex]\begin{gathered} x=\frac{-8+15}{5}=\frac{7}{5}=1.4, \\ y=\frac{0+6}{5}=\frac{6}{5}=1.2. \end{gathered}[/tex]Now, from the given map, we get that the point (1.4,1.2) is on Iowa.
Answer:
The ordered pair that represents the location of the layover is:
[tex]\mleft(1.4,1.2\mright)\text{.}[/tex]The state at which we will be during the layover is Iowa.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.