What closer to the origin (2,3) or (-1,4)?

Answer 1

calc the disctance to the origin of each point

(2,3)
dist = sqrt [ 2^2 + 3^3 ]
= sqrt [ 13 ]

(-1,4)
dist = sqrt [ -1^2 + 4^2 ]
=sqrt [ 17 ]

(2,3) is closer to the origin

Answer 2

The distance of (2,3) to the origin is square root of (2^2 + 3^2).

The distance of (-1,4) to the origin is square root of ((-1)^2 + 4^2).

Once you do the arithmetic, you can answer the question.

Answer 3

the distance between origin(0,0) and (2, 3)

sqrt(2^2 + 3^2) = sqrt(4 + 9) = sqrt(13)

distance between origin and (-1,4)
sqrt(1 + 16) = sqrt(17)
sqrt(13)
so (2,3) is closer to origin

Answer 4

Compute the distance for each point:

d = sqrt((x-x0)^2 + (y-y0)^2) where x0 = 0, y0 = 0

d(2,3) = sqrt(4+9) = sqrt(13)

d(-1,4) = sqrt(1+16) = sqrt(17)

(2,3) is closer

Answer 5

http://purplemath.com/modules/distform.htm
Sorry, I have no time to figure it out. Just susbtitute one of them in for ( 0, 0 ) and the other for ( x, y) same with the other one.