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# Recent problems solved by 'Alan3354'

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 Trigonometry-basics/712649: 1+cosec x + cot x/1+cosec x-cot x = cot x + cosec x -1/ cot x - cosec x +1 proove1 solutions Answer 438105 by Alan3354(30965)   on 2013-02-10 07:49:00 (Show Source): You can put this solution on YOUR website!1+cosec x + cot x/1+cosec x-cot x = cot x + cosec x -1/ cot x - cosec x +1 proove ------------ It's not clear what the NUM's and DEN's are. Add parentheses to clarify.
 Polynomials-and-rational-expressions/712664: How to solve: 3p-4q=-17 6p+q=-16 Both of them are related1 solutions Answer 438104 by Alan3354(30965)   on 2013-02-10 07:46:35 (Show Source): You can put this solution on YOUR website!How to solve: 3p-4q =-17 6p+ q =-16 ============== Multiply the 2nd eqn by 4, then add.
 Complex_Numbers/712580: roots of z^4=-21 solutions Answer 438103 by Alan3354(30965)   on 2013-02-10 07:41:14 (Show Source): You can put this solution on YOUR website!roots of z^4=-2 ------ z^4 = 2cis(180) And cis(135), cis(225), cis(315)
 Square-cubic-other-roots/712586: √62-√28= 1 solutions Answer 438063 by Alan3354(30965)   on 2013-02-09 22:05:16 (Show Source): You can put this solution on YOUR website!=~ 2.582505252
 Numbers_Word_Problems/712587: The sum of 4 consecutive even number is 212. Find the 4th number1 solutions Answer 438062 by Alan3354(30965)   on 2013-02-09 22:03:31 (Show Source): You can put this solution on YOUR website!The sum of 4 consecutive even number is 212. Find the 4th number -------- 212/4 = 53, the center --> 50, 52, 54, 56
 sets-and-operations/712602: Convert the following to base ten: a) E0T base 12 b)1011 base 2 c)43 base 5 Any help with this would be great! I am completely lost in these other number systems.1 solutions Answer 438060 by Alan3354(30965)   on 2013-02-09 22:01:12 (Show Source): You can put this solution on YOUR website!Convert the following to base ten: a) E0T base 12 Don't know what that means. ---------- b)1011 base 2 = 8 + 2 + 1 = 11 ------------ c)43 base 5 = 4*5 + 3 = 23
 Square-cubic-other-roots/712603: I need help solving 3/4 square root 125. Can anyone help?1 solutions Answer 438058 by Alan3354(30965)   on 2013-02-09 21:53:56 (Show Source): You can put this solution on YOUR website!I need help solving 3/4 square root 125. ------------- =~ 8.385255
 expressions/712589: evaluate (a^4)^3 when a = (2/3)^-1/61 solutions Answer 438051 by Alan3354(30965)   on 2013-02-09 20:58:01 (Show Source): You can put this solution on YOUR website!evaluate (a^4)^3 when a = (2/3)^-1/6 ------------ = 9/4
 Average/712561: The average of 11 numbers is 9, and the average of 9 other numbers is 11. As a decimal to the nearest tenth, what is the average of all 20 numbers?1 solutions Answer 438048 by Alan3354(30965)   on 2013-02-09 20:20:55 (Show Source): You can put this solution on YOUR website!The average of 11 numbers is 9, and the average of 9 other numbers is 11. As a decimal to the nearest tenth, what is the average of all 20 numbers? ---------- 11*9 = 99 9*11 = 99 ----- (99 + 99)/20 = 9.9
 Volume/712520: Hi please can you help me ? :) I think i have a little idea of how to do this but i need some help please. I think its speed divide time but im not sure, anyway please can i have some help ? Please can you also show the working out of how you did it. Thanks A Liquid has a volume of 58.3 cm3 and a mass of 71.3 grams. Calculate the density,correct to three significant figures. Thanks1 solutions Answer 438047 by Alan3354(30965)   on 2013-02-09 20:18:19 (Show Source): You can put this solution on YOUR website!A Liquid has a volume of 58.3 cm3 and a mass of 71.3 grams. Calculate the density,correct to three significant figures. ------------- d = m/vol = 71.3/58.3 gm/cc d =~ 1.223 gm/cc ----------------- There is no speed or time involved.
 Mixture_Word_Problems/712524: 40 oz of a 35% gold alloy are mixed with 64 oz of a 20% alloy. Find the concentration of the resulting gold alloy.1 solutions Answer 438044 by Alan3354(30965)   on 2013-02-09 20:03:05 (Show Source): You can put this solution on YOUR website!40 oz of a 35% gold alloy are mixed with 64 oz of a 20% alloy. Find the concentration of the resulting gold alloy. ---------- 40*35 + 64*20 = (40 + 64)*C
 Travel_Word_Problems/712531: In a bike race, Drake drove his bike over the 1500 meter course from start to finish in 50 seconds. What was his average speed during the race?1 solutions Answer 438043 by Alan3354(30965)   on 2013-02-09 20:01:51 (Show Source): You can put this solution on YOUR website!In a bike race, Drake drove his bike over the 1500 meter course from start to finish in 50 seconds. What was his average speed during the race? ----------- d = r*t r = d/t
 Pythagorean-theorem/712541: How do you find the area of a regular octagon inscribed in a circle with radius r.1 solutions Answer 438040 by Alan3354(30965)   on 2013-02-09 20:00:45 (Show Source): You can put this solution on YOUR website!How do you find the area of a regular octagon inscribed in a circle with radius r. --------- There's a formula for it, but you can only remember so many formulas. -------- It's 8 isoceles triangle with 2 sides = r The vertex angle is 45 degs.
 Parallelograms/712555: How to prove that quadrilateral abcd is a rhombus? I get different midpoints 1 solutions Answer 438039 by Alan3354(30965)   on 2013-02-09 19:58:13 (Show Source): You can put this solution on YOUR website!How to prove that quadrilateral abcd is a rhombus? --------- Its diagonals are perpendicular.
 Graphs/712540: Hi! would anyone know how to work problem -15x - 4y = -20 and 5x + 7y = 90 and show in detail about how you came up with a solution?1 solutions Answer 438021 by Alan3354(30965)   on 2013-02-09 18:57:43 (Show Source): You can put this solution on YOUR website!-15x - 4y = -20 5x + 7y = 90 ============= Multiply the 2nd eqn by 3, then add them
Polynomials-and-rational-expressions/712487: (2+5/4x-1)= (-2/(4x-1)^2)
I started it already but i do not really understand. This is what I have done:
(2/1+5/4x-1)=(-2/(4x-1)^2)
2(4x-1)^2+5(4x-1)=-2
I do not know what else to do
1 solutions

Answer 437984 by Alan3354(30965)   on 2013-02-09 15:45:59 (Show Source):
You can put this solution on YOUR website!
(2+5/4x-1)= (-2/(4x-1)^2)
I started it already but i do not really understand. This is what I have done:
(2/1+5/4x-1)=(-2/(4x-1)^2)
2(4x-1)^2+5(4x-1)=-2
I do not know what else to do
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 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=144 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.125, -0.25. Here's your graph:

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You can check both, see if they work in the original equation.

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