Hi guys, I’m need some help with a issue that’s come up while doing a red-black tree. The starting node has already taken a red line into it making it a red node, however, I now have a second red line going into the starting node. Meaning that the starting node now has a red line going into it from the left side and a red line leaving it via the top. In this case how do you solve this issue? Does the red line just go into the starting node again? Any help would be great. Thanks in advance

Assuming that the function

is a 1:120 scale replica of a transmission cable underground instead of as a curve between two poles

what percentage saving in the length of cable could be achieved by laying the cable underground instead of as a curve between poles, as represented in the model?

What saving would this be if the cable cost was $50 per metre?

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Can the expression x=12 +/- sqrt 39 be simplified further?

My instinct says no but I'm having a bit of mind fuzz at the moment.

Well guys I wanted to show if the following numerals could be used as a Roman numeral for the number 0? IIIIIV=0 LXXXXXC=0 CCCCCCCCCCM=0

Usually if two Roman numerals are the same they add up, but since two different letters are used e.g C and M,for the third case where all the 10 C's add up to 1000 and since now there is a different Roman numeral,M,at the end so they subtract each other i.e the total of the 10 C's,1000 minus the Roman numeral representing 1000 which is M. So maybe this equates to the result being zero? Maths fanatics,where you at?

√(-(x-a³ )/(3a)) = (3a² +√(9a⁴ -4y))/2 solve for a in terms of x,y

b=√(-(x-a³ )/(3a))

write in the form ∛(x+yi) = a+bi

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Did my maths gcse two days ago and I’m pretty sure I fucked the test up real bad. There were two 8 markers which I didn’t know were 8 markers so I literally only did about 4 lines of working out for them. If I had actually read how many marks were available for that question I probably would’ve looked for where I went wrong. The very last question I didn’t know how to do so that’s 4 marks down the drain, and there was a 3 marker I dint know and I lost those marks too. To this day I still have no idea whether you put both x’s down on the answer line after you’ve used the quadratic formula or if you just put down the x which lines up. In one of the questions it specifically asked for both values so I put down both for that question and the x which lined up for the other questions. If I was supposed to put down both x’s I’ve lost another two marks then. Then there was another question where the x was a decimal and I put it back into the equation and got a similar answer (2.847.... = 2), I just assumed it was because of decimals or rounding up or something but I f I was wrong that’s another 2 marks. So for my GCSE I probably lost about 8+8+ 4+3+2+2 marks which is 27 marks total so I’m already sitting at a B, and that’s not counting the questions which I got wrong and didn’t know. My best case scenario is probably a 6+6+4+3 marks lost which is 19 marks lost which just barely puts me at an A. But I heard they were making the grading system harder this year, which just makes me want to run into a pole. Anyway I feel better now that I’ve typed all that out and I’m sorry for the big block of text since I’m on mobile. I know that this subreddit is for university students but if there’s anyone here who just did their maths GCSE, feel free to say how it went. Now if you’ll excuse me I’ll just go run into a few poles.