just want to make sure i got this answer right….

the question is ==> find the distance between (-2,3) and (-6,-7)

i used the distance formula

and i got this as an answer square root ?116

is this correct?

thanks

February 2nd, 2011 @2:54 am

Let’s see…

?[ (-2 - (-6))^2 + (3 - (-7))^2 ]

?[ (-2+6))^2 + (3+7)^2 ]

?[ (4)^2 + (10)^2 ]

?116

I got the same answer. Though you can simplify it further:

?(4*29)

2?29

February 2nd, 2011 @3:33 am

Yes, it is.

February 2nd, 2011 @4:31 am

absolutely right. although, like someone mentioned, you can simplify it further.

good job!

February 2nd, 2011 @4:45 am

d = sqrt[(-6--2)²+(-7-3)²]

d=sqrt[(-4)²+(-10)²]

d=sqrt(16+100)

d=?116

(?116 simplifies!)

d=?4*?29

d=2?29

Whether you got it right depends on if your teacher would accept ?116 even though it wasn’t fully simplified.

February 2nd, 2011 @4:49 am

distance = sqrt ( sqr ( x2-x1 ) + sqr ( y2-y1 ) )

distance = sqrt ( sqr ( -6–2 ) + sqr ( -7-3 ) )

distance = sqrt ( sqr ( -4 ) + sqr ( -10 ) ) = sqrt ( 16 + 100 ) = sqrt ( 116 )

distance = sqrt ( 116 ) = sqrt ( 29 * 4 ) = sqrt (29) * sqrt (4) = 2*sqrt(29)

So the distance is 2sqrt(29).

sqrt(16 + 100)