TSI Math: Calculating Segment Length with the Distance Formula

How long is the line segment connecting the points (-6, 7) and (5, -4)?

Geometry and MeasurementPlane Geometry
Mathematics and Statistics AssessmentPlane Geometry
Product TypeTSI
TSIMathematics and Statistics Assessment
TSI Math
TSI Mathematics
TSI MathGeometry and Measurement
TSI MathematicsGeometry and Measurement
Test PrepTSI

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