Question

77(-2,-2)A(2, 2)The distance of AB = [? ]Round to the nearest tenth.Hint: d = √(x₂-x₁)² + (y2 - Y₁)²

Answer 1

Given the points:

( x1 , y1) = (-2, - 2 )

(x2, y2 ) = (2 , 2 )

Apply:

`d=\sqrt[\placeholder{⬚}]{(x2-x1)^(^2)+(y2-y1)^(^2)}`

Replacing:

`d=\sqrt[\placeholder{⬚}]{(2-(-2))^(^2)+(2-(-2)^(^2)}`
`d=\sqrt[\placeholder{⬚}]{(2+2)^(^2)+(2+2)^(^2)}`
`d=\sqrt[\placeholder{⬚}]{4^(^2)+4^(^2)}=\sqrt[\placeholder{⬚}]{16+16}=\sqrt[]{32}=5.7`

Answer:

5.7