Math question help please !

- anonymous

Math question help please !

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- schrodinger

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- anonymous

what is the question?

- anonymous

3 CD is a water pipeline. A and B are two towns. A pumping station is to be located on the pipeline to pump water to A and B. Each town is to pay for their own service pipes and insist on equality of costs.
a Where should C be located for equality of costs to occur?
b What is the total length of service pipe re- quired?
c If the towns agree to pay equal amounts, would it be cheaper to install the service pipeline from D to B to A?

- anonymous

using the graph from this website
http://www.haesemathematics.com.au/samples/sa11gt-5_02.pdf

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## More answers

- anonymous

page 83: number 3

- anonymous

|dw:1327729372654:dw|

- anonymous

A(2,3) B(5,4)

- anonymous

Is anybody answering this?

- anonymous

not me- i forgot how 2, same question i had last year =P all urs

- anonymous

kk :) ill try it

- anonymous

i found A
but im confused on parts B and C

- anonymous

wait, are you doing the IB?

- anonymous

yes

- anonymous

haha, yeah, I'm using the same textbook. Ill post the answers in a few minutes. I'm writing it out.

- anonymous

alright thank you !

- anonymous

ok so is the first one 7/3?

- anonymous

yess

- anonymous

do you know how to do that?

- anonymous

for the second part i got confused on what is the total distance

- anonymous

i used the distance formula for both AC & BC
made them equal eachother

- anonymous

What do they give for an answer??

- anonymous

7/3 for A

- anonymous

for C: 8.03km

- anonymous

i mean for B

- anonymous

and for C yes (6.16 km)

- anonymous

yes, it makes sense

- anonymous

part b is 8.03(i got 8.027 lol)

- anonymous

rounded up for B

- anonymous

but how did you get B?

- anonymous

all you need to do is take one set of the coordinates like (2,3) and use the coordinate of the pipeline and put them into the distance formula. (7/3, 7) You get around 4.0138646.....
multiply that by two as there are two service pipes, one for B and one for A and you get 8.027 or 8.03 as they say

- anonymous

so get the distance between the two points and times it by 2?

- anonymous

yes...getting the distance for one only gives you the cost for one service pipeline. That only gives water to either A or B. Both need it right?

- anonymous

yeahh..

- anonymous

and the second one is 6.16 and yes.
the distance from B to D is 3(just subtract the y-values)
the distance from B to A is 3.16(distance formula should give you sqrt 10 which is 3.16 in decimal)
add them together and you get 6.16 which is a shorter distance then 8.03 so it would be cheaper.

- anonymous

can you do 3b because i got 8.11

- anonymous

nevermind i did it the wrong way !

- anonymous

but im kindda lost on 3C

- anonymous

ok...so what do you need to get in 3C? the distance from D to B to A right?

- anonymous

so i need to find D for 3c

- anonymous

for finding D what points do i use? A and B right?

- anonymous

noooo, no, why would you need to?
the right angle sign indicates that it is a straight line going down.

- anonymous

ohhh so if i find d to b i can get b to a

- anonymous

|dw:1327731671265:dw|

- anonymous

do you get it?

- anonymous

yes i got it !

- anonymous

can you help me with with the next question?

- anonymous

the one where it says
"jason's girlfriend lives in a house on China..."

- anonymous

ok!

- anonymous

thanks !

- anonymous

wait, is it possible for you to write or screen shot the question because my preview just froze from all the pdfs :S sryy

- anonymous

Jason's girlfriend lives in a house on Clifton Highway which has equation y = 8. The distance from Jason's house is 11.73 km. If Jason lives at J(4,1), what are the coordinates of his girlfriend's house?
y=8
o-------------------------------------… <- Clifton Highway
K(a,8) -- let x = a
Distance JK = 11.73 km = 11.73 units
o J(4,1)
Scale: 1 unit = 1 km
Okay legend: o (small o) represents a point.
Point K is imaginary (I placed it there for visual reference i.e. lets pretend that its there, you are trying to find the x value. Point K is the location of Jason's girlfriend's house. And the distance between their houses is 11.73

- anonymous

ok, what's the answer it gives?

- anonymous

im guessing -5.41

- anonymous

yeah i got the probblem !

- anonymous

??you got how to do it?

- anonymous

all right :) good job XD

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