Question

Find the distance between the points (5,-3) and (0,2).

• O A.5radical2
• B.26
• C.50
• D.radical26

Answer 1

A

Explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (0, 2)

d =
`√((0-5)^2+(2+3)^2)`

=
`√((-5)^2+5^2)`

=
`√(25+25)`

=
`√(50)` =
`√(25(2))` = 5
`√(2)`

Answer 2

option a

Explanation:

we have the equation of distance between two points :

d=
`√((x2-x1)^2+(y2-y1)^2)`

first point (5,-3)

second point (0,2)

so we have

d=
`√((0-5)^2+(2-(-3))^2)`

d=
`√(25+25)`

d=
`√(50)`

50=(5^2)*2

so we have d=
`√(50)` =
`\sqrt{5^2*2`

d=5
`√(2)`