Question

25 POINTS! What is the distance between the points (2, 3) and (5, -4)? (XY AXIS)

Answer 1

`A=(2,3)\qquad\qquad B=(5,-4)\\\\\\d(A,B)=√((5-2)^2+(-4-3)^2)=√(3^2+(-7)^2)=√(9+49)=\\\\=\boxed{√(58)\approx7.61}`

Answer 2

the distance could be calculated as follows:
d =
`\sqrt{ (5-2)^(2) + (-4-3)^2} }`
d =
`\sqrt{ 3^(2) + (-7)^(2)`
d =
`√(58)`