SOLUTION: To get to a friend's house from his apartment, a student walks 4 blocks west and 6 blocks south. Usine the origin of a coordinate plane as the starting point, Find the coordinates

Algebra ->  Length-and-distance -> SOLUTION: To get to a friend's house from his apartment, a student walks 4 blocks west and 6 blocks south. Usine the origin of a coordinate plane as the starting point, Find the coordinates      Log On


   

Question 159479This question is from textbook Introductory and intermediate algebra through applications
: To get to a friend's house from his apartment, a student walks 4 blocks west and 6 blocks south. Usine the origin of a coordinate plane as the starting point,
Find the coordinates of the locateion of the friends apartment
How far from the student's apartment is the friend's house? This question is from textbook Introductory and intermediate algebra through applications

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
To get to a friend's house from his apartment, a student walks 4 blocks west and 6 blocks south. Usine the origin of a coordinate plane as the starting point,
Find the coordinates of the locateion of the friends apartment
How far from the student's apartment is the friend's house?
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West is negative along the x-axis, and South is negative on the y-axis (per conventions), so he walked to the point (-4,-6) (using the blocks as units).
(-4,-6) are the coordinates.
The distance he walked was 10 blocks, but the straight line distance is:
sqrt%284%5E2+%2B+6%5E2%29
= sqrt%2852%29
= 2sqrt%2813%29
Which is apx 7.211 blocks