Asked by Jasmine

An electronic toy car only travels along the line 10x-40y=200. A wireless charging station is located at (50,50) and a toy car can be recharged at a distance of 40 units.
1. at what point is the car closest to the station?
2. at this point, how far is it to the station? will it be charged?

Answers

Answered by oobleck
the distance z from any point (x,y) to (50,50) is z = √((50-x)^2 + (50-y)^2)
Since y = (10x+200)/40,
So, z = √((50-x)^2 + (50-(10x+200)/40)^2)

Now just find where dz/dx=0
and yes, it will get charged.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions