Question

Find the distance between the two points. Round to the nearest tenth if necessary.

(1,5), (5,2)
A. 2.6
B. 1
C. 5

Answer 1

C

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )

d =
`√((5-1)^2+(2-5)^2)`

=
`√(4^2+(-3)^2)`

=
`√(16+9)`

=
`√(25)`

= 5

Answer 2

d =5

Explanation:

d =
`√((x2-x1)^2 + (y2-y1)^2)`

at (1,5), (5,2)

d=
`√((5-1)^2 +(2-5)^2)`

`d = √(16 + 9) \\d=√(25)\\ d =5`

Therefore 5 is the distance.