+0  
 
+1
92
1
avatar+418 

Brenda is going from (-4, 5) to (5, -4), but she needs to stop by the origin on the way. How far does she have to travel?

Logic  Aug 18, 2018
 #1
avatar+7521 
+2

Brenda is going from (-4, 5) to (5, -4), but she needs to stop by the origin on the way. How far does she have to travel?

 

Hi Logic!

 

a) (-4,5) to (0,0)

b) (0,0) to (5,-4)

 

\(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

 

\(d_a=\sqrt{(-4-0)^2+(5-0)^2}=\sqrt{16+25}\\ d_a=\sqrt{41}\)

\(d_b=\sqrt{(0-5)^2+(0-(-4))^2}=\sqrt{25+16}\\ d_b=\sqrt{41}\)

 

\(d_a+d_b=2\cdot \sqrt{41}=12.806..\)

 

Brenda has to travel 12,806 times the local unit of length.

 

Is the origin on the way the origin of the coordinate system?
Or does Brenda travel back to the starting point?


Then:

 

twice (-4,5) to (5,-4)

 

\(d=2\cdot \sqrt{(-4-5)^2+(5-(-4))^2}=2\cdot\sqrt{81+81}\\ d=2\cdot \sqrt{2\cdot 3^4}=2\cdot 3^2\cdot \sqrt{2}\\ \color{blue}d=18\cdot\sqrt{2}=25.4558..\)

 

Brenda has to travel 25.456 times the local unit of length.

 

Greatings

laugh  !

asinus  Aug 18, 2018
edited by asinus  Aug 18, 2018
edited by asinus  Aug 18, 2018
edited by asinus  Aug 18, 2018

14 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.