Question

Which expression gives the distance between the points (4,6) and (7,-3)?

A. (4- 7) + (6 +3)?
B. (4-7)2 +6-3)?
C. 14 - 7)2 + (6 - 3)2
D. 14 - 7)2 + (6+3)2

Answer 1

Explanation:

note : distance between A(X1,Y1) an B (X2,Y2) is :

AB= √((X2 - X1)² + (Y2 - Y1)²)

in this exercice : X1 = 4 X2 = 7 Y1 = 6 Y2 = -3 continue .....calculate AB

Answer 2

see explanation

Explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (7, - 3)

d =
`√((7-4)^2+(-3-6)^2)` ← expression for calculating distance

=
`√(3^2+(-3)^2)`

=
`√(9+9)`

=
`√(18)` = 3
`√(2)`