Determine which point A(2, 3) or B(1, 4) is closer to the origin?
A) Point $A ( 2,3 )$ is closer to the origin.
B) Point $B ( 1,4 )$ is closer to the origin.

Question

Determine which point A(2, 3) or B(1, 4) is closer to the origin? 
A) Point $A ( 2,3 )$ is closer to the origin.
B) Point $B ( 1,4 )$ is closer to the origin.

Quizplus · Accepted Answer

We can use the distance formula to calculate the distance of each point from the origin.

For point A(2,3):
distance = sqrt((2-0)^2 + (3-0)^2) = sqrt(13)

For point B(1,4):
distance = sqrt((1-0)^2 + (4-0)^2) = sqrt(17)

Since sqrt(13) < sqrt(17), point A (2,3) is closer to the origin.

Determine Which Point A(2, 3) or B(1, 4) Is Closer A(2,3)A ( 2,3 )A(2,3)

Determine Which Point A(2, 3) or B(1, 4) Is Closer $A ( 2,3 )$