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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: hello_kitty on February 14, 2011, 07:24:54 pm

Title: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: hello_kitty on February 14, 2011, 07:24:54 pm
Find the value(s) of y so that the distance between the points (5,y) and (8,-1) is 5 units.
Show all working.


What does 5 units mean?


I did...

m = y2 - y1/x2 - x1

5 = -1 - y/8-5
5 = -1 - y/3
15 = -1 -y
16 = -y

I have no idea why i put 5 as m
y = -16

Thnaks!


AND ALSo..
just clarifying...
for a question like:

y -3 = 3/2 (x - 6)
would you expand the bracket first? then multiply the two to the LHS? OR multiply the 2 to the left hand side so it is
2(y - 3) = 3(x-6)?

I tried both ways and got differenet answers :/
could i see both ways workings?


thanks a lot!
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: JinXi on February 14, 2011, 07:28:23 pm
m is the gradient.

the distance is 5 units, not the gradient.

Try using the Pythagoreas Theorem.

You should get y= -5, y=3
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: Greatness on February 14, 2011, 07:29:14 pm
Use the distance formula and rearrange, to make y the subject.
distance=square root ((x1-x2)^2 + (y1-y2)^2)

There may be an easier way to do this. Not quite sure, that was the first method that i thought of.
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: simonhu81292 on February 14, 2011, 07:31:30 pm
for your first question ... m does not equal 5...
you are using the wrong formula as well
they are asking for the distance...
hence .. you should now use this formula
Root[(x2-x1)^2+(y2-y1)^2] ..
now you can try and solve it ...
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: simonhu81292 on February 14, 2011, 07:34:12 pm
for your second question...
both approach will still work
however ...using your first methods would be faster
y -3 = 3/2 (x - 6)
you would expand the RHS, then move the 3 to the RHS by +3
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: hello_kitty on February 14, 2011, 08:21:46 pm
Im a bit stuck when i get to

5 = square root (8-5)^2 + (-1-y)^2

:/
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: ttn on February 14, 2011, 08:35:02 pm
square both sides



Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: simonhu81292 on February 14, 2011, 08:38:16 pm
first get this bit (8-5)^2 , which equals 9
then square both sides ..
you would get 25=9+(-y-1)^2
then you move the 9 on to the LHS
16=(-y-1)^2
expand (-y-1)^2
16=y^2+2y+1
bring the 16 onto the RHS
y^2+2y-15=0
solve for y
and then you will get y= -5 or 3 as your answer
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: ttn on February 14, 2011, 09:11:21 pm
Or instead of expanding, you can just square root both sides

(plus/minus 4)
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: hello_kitty on February 14, 2011, 09:19:10 pm
so the answer can be either 3 or -5??
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: simonhu81292 on February 14, 2011, 10:11:28 pm
Or instead of expanding, you can just square root both sides

(plus/minus 4)
lol...didn't think of it that way ..yeah ~~
faster~ :D
so the answer can be either 3 or -5??
yep ..that's right  ;)=hello_kitty link=topic=38126.msg403523#msg403523 date=1297678750]
so the answer can be either 3 or -5??
[/quote]
yep ..that's right
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: luffy on February 14, 2011, 10:14:52 pm
Honestly, I don't think you are getting anything out of this thread, even though you now know the answer.
Do you actually understand how to do the question?

If not, members of this thread have already told you how to do the question, the only way in which you will understand it properly, is if there is a teacher or someone showing you how to do it face to face, with visual representations.

Tell me if I am wrong because teaching you how to do this question (without you understanding), will not actually teach you how to do these 'type' of questions, if you get what I mean.
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: hello_kitty on February 14, 2011, 11:22:33 pm
i do get it..

25 = 10 +y^2 +2y
15 = y^2 + 2y
y^2 + 2y - 15 = 0

(y + 5) y - 3) = 0

therefore, y = -5 or y = 3.


yeah.. i get it
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: luffy on February 15, 2011, 05:54:14 pm
i do get it..

25 = 10 +y^2 +2y
15 = y^2 + 2y
y^2 + 2y - 15 = 0

(y + 5) y - 3) = 0

therefore, y = -5 or y = 3.


yeah.. i get it

Haha ok. My bad then.
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: hello_kitty on February 15, 2011, 07:35:10 pm
Its alright :)
I just forgot what the method was for..


y2 + 2y - 15 = 0 to (y +5) (y-3) = 0

:/
Title: Re: help with 1 tricky question please :( bit confused! not sure if working is right
Post by: brightsky on February 15, 2011, 07:38:41 pm
5*(-3) = -15
5 - 3 = 2