Question

Em cada item,determine a distancia entre os pontos

A) (2,0) e (3,4)

B) (1,-3) e (4,7)

C)(-1,1) e ( 1,-1)

Answer 1

Olá!!

Resolução!!

a)

A ( 2, 0 ) e B ( 3, 4 )

`````````````_________________
AB = √( x1 - x2 )² + ( y1 - y2 )²
`````````````_______________
AB = √( 2 - 3 )² + ( 0 - 4 )²
`````````````____________
AB = √ ( - 1 )² + ( - 4 )²
`````````````______
AB = √ 1 + 16
AB = √17

A distância é √17 u. c

b)

A ( 1, - 3 ) e B ( 4, 7 )

`````````````_________________
AB = √( x1 - x2 )² + ( y1 - y2 )²
`````````````_______________
AB = √( 1 - 4 )² + ( - 3 - 7 )²
`````````````____________
AB = √( - 3 )² + ( - 10 )²
`````````````_______
AB = √9 + 100
AB = √109

A distância é √109 u. c

c)

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

`````````````_________________
AB = √( x1 - x2 )² + ( y1 - y2 )²
`````````````________________
AB = √( - 1 - 1 )² + ( 1 - ( - 1 ))²
`````````````_______________
AB = √( - 2 )² + ( 1 + 1 )²
`````````````_____
AB = √4 + 2²
`````````````_____
AB = √4 + 4
AB = √8
AB = √2² • 2
AB = 2√2

A distância é 2√2 u. c

Espero ter ajudado!!

Answer 2

A)

d=√(3-2)² + (4-0)²

d= √1² + 4²

d= √1+16

d=√17

B)

d=√(4-1)² + (7+3)²

d=√3² + 10²

d=√9 + 100

d=√109

C)

d=√(1+1)² + (-1-1)²

d=√2² - 2²

d=√4+4

d=√8