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TSI Math: Calculating Segment Length with the Distance Formula 6 Views
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Description:
How long is the line segment connecting the points (-6, 7) and (5, -4)?
Transcript
- 00:02
Okay sy Match members were focusing on plane geometry now
- 00:06
which we hope is a lot more interesting than fancy
- 00:09
geometry Okay how long is the line segment connecting the
- 00:12
points Negative six seven and five Negative for hold on
- 00:20
while we take out our trusty mathematical tool box full
Full Transcript
- 00:22
of formulas and serums the right tool for this job
- 00:25
you have the distance formula so distance equals all this
- 00:28
We just need to plug in the given x and
- 00:30
y coordinates that we're done so we just plug him
- 00:33
in Well x two let's call that the this five
- 00:35
right here and that's going to subtract the x one
- 00:39
there knows you're tracking negative sense positive and then we're
- 00:42
going to square it We've gotta do that what's in
- 00:44
the princess first it'll be eleven eleven squared and we're
- 00:47
going to add that See this negative for minus seven
- 00:51
tickets us Yeah hold negative eleven inside squared So it's
- 00:55
square root of eleven squared plus eleven squared and that's
- 00:59
what is that Two times eleven squared and well let's
- 01:02
see since the two squared terms are the same you
- 01:04
don't even need to do any squaring beyond this Instead
- 01:07
just use the properties of square roots and we get
- 01:09
d equals square root of two times eleven square there
- 01:12
orjust back out the eleven and eleven times square root
- 01:14
of to that's the distance on dh we're done We're 00:01:17.989 --> [endTime] smoked That's it
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