Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
D) 7.6 blocks
Step-by-step explanation:
Interpreting the Problem
The problem asks to find the distance between Mary's school and home in relation to the center of town or the origin.
The word "origin" hints at using a coordinate plane for the word problem.
Let,
- each block represent 1 unit on the coordinate plane,
- directions North and East be positive,
- directions South and West be negative,
- directions East and West be along the x-axis,
- directions North and South be along the y-axis.
Following these guidelines, Mary's home and school are at (-4,-1) and (3,2) respectively.
Distance Formula
The distance between two coordinate points can be calculated using the distance formula or,
                  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex],
where the subscripts 1 and 2 represent which coordinate pair each value originates from.
If we let [tex](x_2,y_2)[/tex] be Mary's home and [tex](x_1,y_1)[/tex] be Mary's school then, the distance between them is,
    [tex]\sqrt{(-4-3)^2+(-1-2)^2}=\sqrt{(-7)^2+(-3)^2}=\sqrt{49+9} =\sqrt{58} \\\Longrightarrow 7.6[/tex].
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
