Datasets:
NationalTutoringObservatory
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MathEd-PII

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8
volunteer
you know the coordinates of both A and B right
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student
yes A is (8, 1) and B is (14, 9)
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volunteer
so you have to use the same formula you used earlier to find the distance between them right
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student
what formula the a^2+b^2=c^2
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volunteer
yes
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volunteer
however:
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volunteer
are you sure that you have the correct points for X and Y
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student
for x and y i have 10, 2
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volunteer
your coordinates for x are (10,2)?
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student
yes is that correct
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volunteer
did you find those coordinates mathematically
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volunteer
like using a slope equation
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student
I was with a person in Tutor Provider and they told me to set them equal to each other to find x and y
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volunteer
yes
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volunteer
what was your equation for line U
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student
I think i forgot to do that to find Point Y
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student
my equation for line U is y=-2x+22
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volunteer
how did you get that
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student
I found the slope which is 1/2 for H and S then i pluged it into y=mx+b with y and x being the coordinates for line u
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volunteer
ok thats good
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volunteer
(10,2) is right for X
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volunteer
have you solved for Y
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student
yes now i need to find y
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volunteer
ok let me know what you get for Y
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student
Y is (8, 6)
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volunteer
yes
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student
so what do we do for part c
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volunteer
you need to redo your work for the a^2+b^2=c^2
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volunteer
using (10,2) for X and (8,6) for Y
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student
what so i use the coordinates for my a and b
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volunteer
yes, (8,1) for A and (14,9) for B
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student
no like for the a^2+b^2=c^2
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volunteer
no
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volunteer
you find the difference between X and Y values
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volunteer
so for A-X
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volunteer
you should draw out a graph
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volunteer
so you can visualize what you're finding
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student
so the original square root i had is wrong
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volunteer
let me see
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volunteer
im going to check your work
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student
okay
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volunteer
no your work is correct
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volunteer
now all you have to do is find the distance from A-B
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volunteer
so do the same thing you did for like A-X with the a^2+b^2=c^2 equation to find A-B
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student
how do I know what plugs into A^2 and B^2
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volunteer
the same way you knew what plugged into A^2 and B^2 for the earlier equations
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volunteer
you subtract the y values and the x values
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volunteer
so if A is (8,1) and B is (14,9) the vertical distance is 8 and the horizontal distance is 6
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volunteer
which you'd plug into A^2 and B^2
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volunteer
to find C^2
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student
wait im soo confused
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volunteer
so you find the right triangle, right?
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student
so if i have coordinates how would i plug that into A^2 and B^2
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volunteer
because thats how A^2+b^2=c^2 works
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volunteer
the coordinates help you because you can make a right triangle out of them
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volunteer
to find the straight line distance
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student
but like how do i know which coordinates to plug in if theres 4 points
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volunteer
there's only 2 points
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volunteer
because the second part of (c) is just asking for A to B
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volunteer
the first part was asking for the distance from A to X to Y to B
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volunteer
but the second part is asking what it would be to go straight from A to B
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student
yea but you have your x and y value for the points a and b so how would i know to plug in the y or cx value into a and b
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volunteer
you don't plug in the points to a and b
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volunteer
you plug in the differences
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student
how would i find the difference
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volunteer
so if A is (8,1) and B is (14,9), to find a you do (9-1) and to find b you do (14-8)
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student
ohhh
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student
i got square root 100
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volunteer
what does that simplify to
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student
square root of 10
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student
or 10
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volunteer
yeah
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student
wait is it 10 or square root of 10
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volunteer
10
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student
okay
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volunteer
so 10 is the straight line distance from A to B
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student
what do we do now
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volunteer
what else does part c ask
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student
i shared my screens
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volunteer
you already found the distance from A to X to Y to B and then you found A to B
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volunteer
so now you compare which is shorter
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volunteer
so take the two distances you found and see which one is smaller
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student
A to B is shorter
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volunteer
yes
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volunteer
now in 1-2 sentences you need to explain why A to X to Y to B is longer than A to B
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student
but why is it longer is it because of the intyersection
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volunteer
yes but why else do you think it would be longer
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volunteer
think about going directly from one place to another in a straight line vs. taking sort of a zig-zag route
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volunteer
why would the straight line be shorter
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student
because there is o turns
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volunteer
use all of that information to create a short answer on why the intersection route is longer
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volunteer
I have to go now, but you did a great job
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volunteer
good luck!
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student
Hi
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volunteer
Hi Sarah
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student
one moment my images are loading
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student
My problem is question 14
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student
is the correct answer C?
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volunteer
I'll need to enlarge the upload a bit.
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student
okay
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