What is the distance between #(3, 0) # and #(0, 4) #?

Answer 1

Jameson Allen

The distance between (3, 0) and (0, 4) is 5 units.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

It's 5 (Euclidean distance)

Use the Euclidean distance:

#d=sqrt(Δx^2+Δy^2)=sqrt((3-0)^2+(0-4)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5#

Note: The order of the coordinates inside the powers does not matter.

Understanding it: Geometrically speaking, draw a line between these two points in the Cartesian system. Afterwards, draw a vertical line and a horizontal line in each of the points. You can notice that they form 2 triangles which have a #90^o# angle each. Pick one of them and apply the Pythagorean theorem.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.