Question

please help, points U, W, X, and Y are collinear. How many line segments are determined?

Answer 1

collinear = falling on same line
therefore you have many options
do you have more details l

Answer 2

it is based on scenarios
example u-w-x-y
u-x-w-y
and so on
each conditions gives you a set of line segments

Answer 3

\[\frac{1}{4}\frac{x}{1} - 5 = -2\]
\[\frac{1}{4}\frac{x}{1} - 5 +5 = -2 + 5\]
\[\frac{1}{4}\frac{x}{1} - 0 = 3\]
\[\frac{1}{4}\frac{x}{1} = 3\]
\[\frac{1(x)}{4(1)} = 3\]
\[\frac{(x)}{4} = 3\]
\[\frac{(x)}{4}*\frac{4}{1} = 3*4\]
\[\frac{(x)(4)}{4(1)} = 12\]
\[\frac{(x)(1)}{1} = 12\]
\[\frac{(x)}{1} = 12\]
x = 12

Answer 4

you can express any number as a fraction by using 1 as the denominator

Answer 5

and fraction multiplication is easy its just numerator*numerator & denominator*denominator

Answer 6

ok thanks so there is no way of doing this using purely geometric method?

Answer 7

wow I posted this in the wrong question lol damit

Answer 8

my track pack has a mind of its own :( and clicks things randomly

Answer 9

apple really sucks in the quality department never buying a macbook again

Answer 10

its ok, could you still help me solve it though please?

Answer 11

sorry not familiar with this topic of mathematics

Answer 12

there is indeed a simple way of doing it
lets say you have u -x-y-w
then you will have ux, uy, uw, xy, xw, yw as segments
think on same lines for all cases for u
lets say you have x-y-w-u
then you willhave xy, yw, wu, xw, you xu as options

thats the reason, i asked for conditions of collinearlity

Answer 13

ok thanks so you then have 6 line segments?

Answer 14

many because we can also have y-x-w-u

Answer 15

24 line segments for y-x-w-u

Answer 16

similarly for other conditions