anonymous
  • anonymous
.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Vocaloid
  • Vocaloid
to find the midpoint, you take the average value of the x-coordinates, then the average value of the y-coordinates, then put them together to make a new point (x-average,y-average) we can use #19 as an example G(-4,4) and H(6,4) the x-coordinates are -4 and 6, do you remember how to find the average?
anonymous
  • anonymous
so -4+6 is 2 2/3?
Vocaloid
  • Vocaloid
almost but not quite -4+6 = 2, correct, but we divide by 2, not 3, since there are 2 points 2/2 = 1, with me so far?

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anonymous
  • anonymous
lol sorry i dont know why i said 3 but yes
Vocaloid
  • Vocaloid
ok, now do the same thing with the y-coordinates the average of 4 and 4 is...?
anonymous
  • anonymous
lol4
Vocaloid
  • Vocaloid
right, so the midpoint is (1,4) can you try #20-22 on your own? :) I'll guide you if you get stuck
anonymous
  • anonymous
k just check me
anonymous
  • anonymous
first coordinate is -5? -7-3 -10/2
anonymous
  • anonymous
right?
Vocaloid
  • Vocaloid
yup
anonymous
  • anonymous
-5+7 2 2/2 1
anonymous
  • anonymous
?
Vocaloid
  • Vocaloid
yup, so our midpoint is...?
anonymous
  • anonymous
-5,1
Vocaloid
  • Vocaloid
yup, don't forget the parentheses ready for the next one?
anonymous
  • anonymous
yup
anonymous
  • anonymous
is the first one 3/2? -8+11 3 3/2
Vocaloid
  • Vocaloid
yup
anonymous
  • anonymous
so that would be 1.5
anonymous
  • anonymous
-7+5 -2/2 1
anonymous
  • anonymous
right?
anonymous
  • anonymous
lol -1
Vocaloid
  • Vocaloid
yup, -1, so put them together
anonymous
  • anonymous
(1.5,-1)
Vocaloid
  • Vocaloid
yup, next?
anonymous
  • anonymous
-3-8 -11/2 -5.5
Vocaloid
  • Vocaloid
yup
anonymous
  • anonymous
3+6 9/2 4.5
Vocaloid
  • Vocaloid
yuppp, ready for 23?
anonymous
  • anonymous
yup that one i dont get what they are asking
Vocaloid
  • Vocaloid
well, we're basically doing the same thing that we've been doing so far, except with letters (variables) instead of numbers so, if our first point is (0,0) and our second point is (m,n), we follow the same procedure we add the x-coordinates together and divide by 2, getting...?
Vocaloid
  • Vocaloid
not quite... the x-coordinates are 0 and m, correct? so when we take the average we get (0+m)/2 = m/2, with me so far?
anonymous
  • anonymous
yup
Vocaloid
  • Vocaloid
using the same reasoning for the y-coordinates we get n/2 giving us a final point (m/2,n/2) which is the formula they're looking for
anonymous
  • anonymous
so (m/2,n/2) is the formula? I thought that a midpoint is different than a formula...
Vocaloid
  • Vocaloid
well, it's both a midpoint AND a formula, really. a formula is just a set of instructions to find some value, by manipulating known variables what makes it a "formula" is the fact that we can plug in any m and n to get our midpoint so our formula is midpoint = (m/2,n/2)
anonymous
  • anonymous
ah i get it
Vocaloid
  • Vocaloid
I'm not sure how detailed of an explanation they want when they say "explain your reasoning"
anonymous
  • anonymous
i got it. Can u help with some more
Vocaloid
  • Vocaloid
sure
anonymous
  • anonymous
i think this is the same kind of problem but i would like help. Use the given endpoint R and the midpoint M of RS to find the coordinates of the other endpoint S R(3,0), M(0,5)
anonymous
  • anonymous
R(5,1) M(1,4) R(6,-2) M (5,3)
Vocaloid
  • Vocaloid
well, the same rule applies, but we have to think a bit differently because we are now given a midpoint + an endpoint, rather than two endpoints.
Vocaloid
  • Vocaloid
before, we took the average of the 2 endpoints and got a midpoint, but here we kind of need to work backwards. I'll demonstrate using R(3,0) and M(0,5)
Vocaloid
  • Vocaloid
R = endpoint 1 = (3,0) M = midpoint = (0,5) S = endpoint 2 = (x,y) using our rules from before, we know that (3+x)/2 = 0, with me so far?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
so, if (3+x)/2 = 0, what is x = ?
anonymous
  • anonymous
-3?
Vocaloid
  • Vocaloid
yup, now let's do y R = endpoint 1 = (3,0) M = midpoint = (0,5) S = endpoint 2 = (x,y) (0+y)/2 = 5, so y = ?
anonymous
  • anonymous
10?
Vocaloid
  • Vocaloid
yup, so our point becomes S(-3,10) do you think you can try the others now? just follow the template :)
anonymous
  • anonymous
yes i am good now thank you that is all for the day
anonymous
  • anonymous
you can go help other people that need help
anonymous
  • anonymous
thank you
anonymous
  • anonymous
:)

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