Question

Determine a distância entre os pontos A eB, sendo

a) A(0,-2) e B(-1,1)

b)A(3,4) e B(-1,1)

Answer 1

Olá!!!

Resolução!!!

a)

A ( 0, - 2 ) e B ( - 1, 1 )

`````````````__________________
AB = √ ( x2 - x1 )² + ( y2 - y1 )²
`````````````__________________
AB = √ ( - 1 - 0 )² + ( 1 - ( - 2 ))²
`````````````_______________
AB = √ ( - 1 - 0 )² + ( 1 + 2 )²
`````````````_________
AB = √ ( - 1 )² + 3²
`````````````_____
AB = √ 1 + 9
`````````````____
AB = √ 10

R = √10 unidades

b)

A ( 3, 4 ) e B ( - 1, 1 )

`````````````__________________
AB = √ ( x2 - x1 )² + ( y2 - y1 )²
`````````````________________
AB = √ ( - 1 - 3 )² + ( 1 - 4 )²
`````````````_____________
AB = √ ( - 4 )² + ( - 3 )²
`````````````______
AB = √ 16 + 9
`````````````____
AB = √ 25
AB = 5

R = 5 unidades

Espero ter ajudado!!