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what is the question?
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?
using the graph from this website http://www.haesemathematics.com.au/samples/sa11gt-5_02.pdf
page 83: number 3
Is anybody answering this?
not me- i forgot how 2, same question i had last year =P all urs
kk :) ill try it
i found A but im confused on parts B and C
wait, are you doing the IB?
haha, yeah, I'm using the same textbook. Ill post the answers in a few minutes. I'm writing it out.
alright thank you !
ok so is the first one 7/3?
do you know how to do that?
for the second part i got confused on what is the total distance
i used the distance formula for both AC & BC made them equal eachother
What do they give for an answer??
7/3 for A
for C: 8.03km
i mean for B
and for C yes (6.16 km)
yes, it makes sense
part b is 8.03(i got 8.027 lol)
rounded up for B
but how did you get B?
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
so get the distance between the two points and times it by 2?
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?
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.
can you do 3b because i got 8.11
nevermind i did it the wrong way !
but im kindda lost on 3C
ok...so what do you need to get in 3C? the distance from D to B to A right?
so i need to find D for 3c
for finding D what points do i use? A and B right?
noooo, no, why would you need to? the right angle sign indicates that it is a straight line going down.
ohhh so if i find d to b i can get b to a
do you get it?
yes i got it !
can you help me with with the next question?
the one where it says "jason's girlfriend lives in a house on China..."
wait, is it possible for you to write or screen shot the question because my preview just froze from all the pdfs :S sryy
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
ok, what's the answer it gives?
im guessing -5.41
yeah i got the probblem !
??you got how to do it?
all right :) good job XD