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500/x=600/(x+10) (5000+500x)/(x^2+10x)=600x/(x^2+10x) (making the denominators equal) 5000+500x=600x (multiplying both sides with x^2+10x) -100x=-5000 100x=5000 x=50km/h If you have trouble with any part of that explanation, don't hesitate to ask for more details. What those problems need to be solved, is for you to write them down as an equation, and solving them becomes trivial after that. Edit: Bah, ninja'd. |
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Why I like maths? That's... quite a hard question to answer, but I'll give it a go and probably write about e^3 pages worth of text. I felt the need to spoiler it: Spoiler:
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thanks for the help, smile and shinymeowth :)
i think i get it now :) |
Behold some questions from todays test for me, i got all the right answers but im just gonna throw it out there for you all. (As Quoted directly from the test):
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...Have fun~ |
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b)i) is actually "x^2 -13x+36 = 0" Answer time: Spoiler:
correct answers are in BOLD yay for the irish maths system~ Edit: Note: These were 4 SEPERATE questions. In our maths system the "1) Algebra" is the section " a) " is the question , ergo : question A. and "i" is used for the seperate parts of the question. |
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But from what I have seen, that was probably done due to a "5²=20"-type mistake. |
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and y+1 = 1/y When x = (√5 +1)/2 and when y = (√5 -1)/2 And when you get the fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc. where you take the previous number and add it to the last number to get the next number) and put it as a fraction (1/1, 1/2, 2/3, 3/5, 5/8, 8/13, etc.) the fraction converges to (√5-1)/2. When you flip the fraction (1/1, 2/1, 3/2, 5/3, 8/5, 13/8, etc.) the fraction converges to (√5 +1)/2. Which is also the golden ratio, which is supposed to be related to beauty or something like that. Quote:
I swear I'd have given that stuff a try if I came to the club earlier. |
who like algabra?! (puts hand up)
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Well the formulas arent labeled and there like this in order of the questions(the test was 40 questions long):
-b+-√(b²-4(a)(c)) 2a ax²+bx+c (x+h)² = (x+xh+h) 4/3πr³ |
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How so? Err.. The way I understood your sentence is that Maths = everything but then you limited to physics is just maths. What about Biology and Chemistry? |
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2a ax²+bx+c - General form of a linear equation in 2 variables. (x+h)² = (x+xh+h) - Aren't x and h supposed to be squared and isn't xh supposed to be 2xh? o.o 4/3πr³ - Volume of a sphere |
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And on my test papers, I have all of those as well as: Volume of a pyramid/cone: [base]*[perpendicular height]/3 Volume of a prism: [Area of cross section]*[length] Area of a trapezium: h(a+b)/2 |
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and my teacher decided to give the class a directed investigation, and he's giving us a whole week. the questions are really hard (for me, anyway), and i've only managed to solve 3 out of 5 the first day. i wanna see how people here fair, i'm expecting for all of you to get it in like 5 seconds and make me feel stupid :P , but here they are; A girl thinks of 3 numbers. She adds these numbers in pairs, getting 11, 17 and 22. What are the three numbers? (This took me so long to get, it was like a sudden brain wave and i got the answer. i then spiraled into a 10 minute victory dance with my friend, because we conquered the maths) The sum of two numbers is 8 and the difference between their squares is 34. Find their difference. (This one annoyed me alot, took me a while to realise the seemingly obvious, but i got it) and the other ones a calendar one that i can't be bothered typing. as soon as i finish the others im going to post them and see if others can solve them too :) |
Oh my god~! My classmates are doing trigonometry and they don't even know what's the sine and cosine rules~?!?! :O Unbelievable~!
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Basically, it's how you manipulate the algebra. For the first one, just assign the numbers as x, y and z. Then make an equation for each and solve them accordingly. For the second, it's about factorization. As long as you know that x2 - y2 = (x+y)(x-y), you should be able to do it. |
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how are you so good at maths? i'm so jealous. |
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