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If W ((-7)/(2),4) and X(11,4) then the ...

If ` W ((-7)/(2),4)` and X(11,4) then the distance between points W and X is _ _ _ _ _ _ _ _ _ _

Text Solution

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Suppose the coordinates of point `W` are `(x_(1),y_(1))` and of point X are `(x_(2),y_(2))`.
`:.x_(1)=(-7)/2,y_(1)-4,x_(2)=11` and `y_(2)=4`
By distance formula,
`WX=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))`
`=sqrt([11-((-7)/2)]^(2)+(4-4)^(2))`
`=sqrt((11+7/2)^(2)+0^(2))`
`=sqrt((29/2)^(2)+0^(2))`
`=sqrt((29/2)^(2))`
`=29/2`
`=14.5`
distance between points W and X is 14.5.
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