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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30963 problems
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 Polynomials-and-rational-expressions/243717: Here's another problem that has been giving me a headache Factor the trinomial completely x2 + 24x + 1441 solutions Answer 178529 by Alan3354(30983)   on 2009-11-29 19:56:29 (Show Source): You can put this solution on YOUR website!Factor the trinomial completely x2 + 24x + 144 ------------------ 144 is 12^2 24 is 12*2 Those are big hints. = (x+12)*(x+12)
 Polygons/243696: If the measure of an interior angle of a regular polygon is 120°, what type of polygon will it be? 1 solutions Answer 178500 by Alan3354(30983)   on 2009-11-29 18:49:04 (Show Source): You can put this solution on YOUR website!6 sides = hexagon ----------------- n = 360/(180 - angle) n = 360/60 = 6 sides
 Trigonometry-basics/243638: please help me: theta is an standard position with T(-20/-21) on its terminal ray.Find tan theta here are the possible answers: a)20/21 b)21/20 c)-21/211 solutions Answer 178461 by Alan3354(30983)   on 2009-11-29 17:27:48 (Show Source): You can put this solution on YOUR website!theta is an standard position with T(-20/-21) on its terminal ray.Find tan theta --------------- tan = opp/adj = y/x tan = -21/-20 tan = 21/20
 Polynomials-and-rational-expressions/243632: I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.1 solutions Answer 178459 by Alan3354(30983)   on 2009-11-29 17:25:57 (Show Source): You can put this solution on YOUR website!I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal. -------------- 2+i is a complex number, and complex roots come in conjugate pairs, so the 3rd root is 2-i. The equation is (x-2)*(x -2+i)*(x - 2-i) = 0
 Polynomials-and-rational-expressions/243457: Please help, we don't know whether to solve the problem in the parenthesis first or distribute first, or double the expression??? 3r(-4x^)^ ?1 solutions Answer 178382 by Alan3354(30983)   on 2009-11-29 12:04:43 (Show Source): You can put this solution on YOUR website!What are the exponents? ^ means to the power of something. ^3 is 3rd power, ^2 is squared, etc. ^ by itself doesn't mean anything.
 test/232788: How do you graph the line passing through the given point with the given slope. (0,1) m=21 solutions Answer 178381 by Alan3354(30983)   on 2009-11-29 11:56:55 (Show Source): You can put this solution on YOUR website!How do you graph the line passing through the given point with the given slope. (0,1) m=2 ---------------- m = 2 is the diffy/diffx Find a 2nd point by adding 2 to y and 1 to x --> (3,1) or 4 to y and 2 to x, any 2 to 1 ratio.
 Travel_Word_Problems/243391: Train A is traveling at 60 mph and train B is traveling 80 mph. Train A passes a station at 9:10 pm. If train B passes the same station at 9:25 pm, at that time will train B catch up to train A? 1 solutions Answer 178380 by Alan3354(30983)   on 2009-11-29 11:39:06 (Show Source): You can put this solution on YOUR website!Do these the easy way: In 15 minutes, train A goes 15 miles (60 mph x 1/4 hour) Train B gains on train A at 20 mph (80 - 60) 15 miles/20 mph = 3/4 hour = 45 minutes 9:25 + 45 = 10:10
 Points-lines-and-rays/243452: find the exact distance between the points (12,20) and (2,8)1 solutions Answer 178379 by Alan3354(30983)   on 2009-11-29 11:35:44 (Show Source): You can put this solution on YOUR website!find the exact distance between the points (12,20) and (2,8) ---------- s^2 = diffy^2 + diffx^2 = 12^2 + 10^2 s^2 = 244 s = 2sqrt(61)
 Problems-with-consecutive-odd-even-integers/243450: im having trouble with this problem please answer it for me!!!! for problems 7-9 solve the system of equations using addition to eliminate one variable. if the system has no solution indicate that it is inconsistent. if it has infinite solutions, indicate that it is dependent. if the system check your answer. x+y=3 2y=10-2x check if possible!! please please help!!1 solutions Answer 178378 by Alan3354(30983)   on 2009-11-29 10:45:05 (Show Source): You can put this solution on YOUR website!x+y=3 2y=10-2x --> 2x+2y = 10 --> x+y=5 ---------- x+y can't be both 3 and 5 --> inconsistent, no solution
 Bodies-in-space/243430: What is the volumn in gallons of a tank with a 6' raduius and 3'deep?1 solutions Answer 178370 by Alan3354(30983)   on 2009-11-29 10:03:30 (Show Source): You can put this solution on YOUR website!Vol = pi*r^2*h V = pi*36*3 cubic ft = 108pi cub ft V =~ 2538 gallons (using 231 cubic inches per gallon)
 Trigonometry-basics/243435: verify the identity: cosX/1-sinX = secX + tanX1 solutions Answer 178369 by Alan3354(30983)   on 2009-11-29 10:00:13 (Show Source): You can put this solution on YOUR website!cosX/1-sinX = secX + tanX ------------- cos/(1-sin) = 1/cos + sin/cos = (1+sin)/cos cross multiply cos^2 = 1-sin^2 I'm convinced.
 Square-cubic-other-roots/243433: multiply and simplify (4 - 3 square root 2)(2 + 4 square root 2)1 solutions Answer 178368 by Alan3354(30983)   on 2009-11-29 09:54:26 (Show Source): You can put this solution on YOUR website!(4 - 3 square root 2)(2 + 4 square root 2) = 8 -24 + 10sqrt(2) = -16 + 10sqrt(2)
 Linear-equations/243337: Find an equation of the line containing the given pair of points (1/4,-1/2) and (3/4,2) What is the equation of the line? y=? Simplify your answer Can anyone help please1 solutions Answer 178367 by Alan3354(30983)   on 2009-11-29 09:52:59 (Show Source): You can put this solution on YOUR website!Find an equation of the line containing the given pair of points (1/4,-1/2) and (3/4,2) What is the equation of the line? Find the slope, m m = diffy/diffx = (5/2)/(1/2) m = 5 -------- Use y = mx + b with either point to find b, the y-intercept 2 = 5*(3/4) + b b = -7/4 y = 5x - (7/4) slope-intercept form 20x - 4y = 7 standard form -------------- Simplify your answer Simplify in what way?
 expressions/243415: Let a + b + c + d = 29 a + c = 13 and a + b + d = 19 what is the value of a ?1 solutions Answer 178360 by Alan3354(30983)   on 2009-11-29 09:32:10 (Show Source): You can put this solution on YOUR website!Let a + b + c + d = 29 a + c = 13 and a + b + d = 19 what is the value of a ? ---------- c = 13-a b+d = 19-a ----------- a + (13-a) + (19-a) = 29 -a + 32 = 29 -a = -3 a = 3
 Volume/243425: please help me with this. an irrigation canal is 10 kilometers long and 2 meters deep. it is 4 meters wide at the top and 2 meters wide at the bottom. how many cubic meters of earth were excavated to make the canal? thanks1 solutions Answer 178358 by Alan3354(30983)   on 2009-11-29 08:59:51 (Show Source): You can put this solution on YOUR website!please help me with this. an irrigation canal is 10 kilometers long and 2 meters deep. it is 4 meters wide at the top and 2 meters wide at the bottom. how many cubic meters of earth were excavated to make the canal? thanks --------------------- The cross-sectional area is 2*(4+2)/2 sq m, = 6 sq meters The volume is the area time the length Vol = 6*10000 = 60000 cubic meters
 test/243368: I'm not sure that I'm asking this in the right section, but I'm not really sure where I would need to ask it anyways. The answer is: 3p/2 The problem is this: ((2p-2)/p) * ((6p^2)/(8p*8)) I'm not sure how to get to that answer and I think I don't have a clue on how to even start this one. I started by put the 2 sides together (2p-2)6p^2 ---------- p(8p*8) 3(x-1)1 solutions Answer 178299 by Alan3354(30983)   on 2009-11-28 21:47:26 (Show Source): You can put this solution on YOUR website!The answer is: 3p/2 The problem is this: ((2p-2)/p) * ((6p^2)/(8p*8)) I'm not sure how to get to that answer and I think I don't have a clue on how to even start this one. I started by put the 2 sides together (2p-2)6p^2 ---------- p(8p*8) ---------- That's a good start = Cancel the p^2 terms = = = 3(p-1)/16
 test/243303: The function y=x^4+bx^2+8x+1 has a horizontal tangent and a point of inflection for the same value of x. What must be the value of b? (A) -6 (B) -1 (C) 1 (D) 4 (E) 61 solutions Answer 178234 by Alan3354(30983)   on 2009-11-28 16:43:26 (Show Source): You can put this solution on YOUR website!The function y=x^4+bx^2+8x+1 has a horizontal tangent and a point of inflection for the same value of x. What must be the value of b? (A) -6 (B) -1 (C) 1 (D) 4 (E) 6 ---------- y' = 4x^3 + 2bx + 8 = 0 slope = 0 y'' = 12x^2 + 2b = 0 inflection ----------------- 2x^3 + bx + 4 = 0 6x^2 + b = 0 --------------- b = -6 (x = 1)
 Exponents/232953: What is the value of x when 1.0E-25 =(3x)^3(2x)^21 solutions Answer 178223 by Alan3354(30983)   on 2009-11-28 14:52:40 (Show Source): You can put this solution on YOUR website!What is the value of x when 1.0E-25 =(3x)^3(2x)^2 1.0E-25 = 27x^3*4x^2 = 108x^5 x^5 = 1000E-28/108 =~ 9.259E-28 x^5 = 925.9E-30 x = 3.92E-6
 Graphs/243188: need to solve by graphing: x-y=2 x+y=-4 I know this sounds basic -- but been out of school and for some reason, i can't graph or figure this out! thanks so much1 solutions Answer 178209 by Alan3354(30983)   on 2009-11-28 13:11:46 (Show Source): You can put this solution on YOUR website! solve by graphing: x-y=2 x+y=-4 ---------- Each eqn is a straight. 2 points is sufficient to plot a straight line. x-y=2 x = y+2 Pick values for y and find x y...x 0...2 --> (2,0) 4...6 --> (6,4) Plot the 2 points and draw a line thru them. ------------- x+y=-4 y = -x-4 x...y 0...-4 --> (0,-4) 4...0 ---> (4,0) Draw a line thru the points. Where they intersect is the solution.
 Polynomials-and-rational-expressions/243235: divide 57r^11/-3r^71 solutions Answer 178208 by Alan3354(30983)   on 2009-11-28 13:06:18 (Show Source): You can put this solution on YOUR website!divide 57r^11/-3r^7 57/3 = 19 r^11/r^7 = r^4 Odd number of minus signs --> - =
 Polynomials-and-rational-expressions/243189: I have done all the margin exercises and practice and I am still having a very difficult time figuring this one out. I believe y will go into y to the 4th power 4 times but it does not look right. I would appreciate any guidance. Thank you so much!! (y to the 4th power + a squared) / (y+a)1 solutions Answer 178200 by Alan3354(30983)   on 2009-11-28 11:45:07 (Show Source): You can put this solution on YOUR website!(y to the 4th power + a squared) / (y+a) ---------------------- That doesn't reduce. You can divide it and get a remainder: = REM a^4
 Volume/243210: I help finding the Right circular cone with r = 6 cm, h = 5 cm 1 solutions Answer 178198 by Alan3354(30983)   on 2009-11-28 11:39:44 (Show Source): You can put this solution on YOUR website!Finding what?
 Exponents/243177: How can you express an equation that is positive, then turn it into a negative exponent. Example: 1 over 6 ^2 Thanks Michelle1 solutions Answer 178168 by Alan3354(30983)   on 2009-11-28 09:05:28 (Show Source): You can put this solution on YOUR website!1/6^2 = 6^-2 ------------ Look at them like this: 1/a^2 Multiply NUM and DEN by a^-2 = a^-2/a^0 = a^-2/1 = a^-2
 Linear-systems/243004: heres my question its about finding x between jupiter and Io,using the equation x+300,000+400,000+800,000=4 3/4x moons orbit /Io europa ganymede callisto distance from jupiter ? ? ? ? can u help me with this sir/mom im having problem with this one i dont know how to find the x between those jupiter1 solutions Answer 178115 by Alan3354(30983)   on 2009-11-27 21:45:07 (Show Source): You can put this solution on YOUR website!x+300,000+400,000+800,000=4 3/4x ------------ Add the numbers x + 1,500,000 = (4 3/4)x I think that's what you mean. Subtrace x from both sides 1,500,000 = (3 3/4)x 1,500,000 = 15x/4 Multiply both sides by 4 6,000,000 = 15x Divide by 15 x = 400,000 (miles? kilometers?)
 Linear-equations/243091: is the point 9,3 a solution of the equation y=5x+31 solutions Answer 178110 by Alan3354(30983)   on 2009-11-27 21:24:36 (Show Source): You can put this solution on YOUR website!is the point 9,3 a solution of the equation y=5x+3 If you sub 9 for x, do you get 3? y = 5*9 + 3 = 48 ------------- The point (9,48) is, not (9,3).
 Trigonometry-basics/243020: please help me: Which of the following is the function rule for the graph of the sin function from 0 to 2pi if the amplitude is 1.5 and the period is pi/2? a)1.5sin2x b)1.5sin4x c)1.5sin(pi/4)x 1 solutions Answer 178087 by Alan3354(30983)   on 2009-11-27 19:32:44 (Show Source):
 logarithm/242562: log2^3x-5=71 solutions Answer 178086 by Alan3354(30983)   on 2009-11-27 19:30:34 (Show Source): You can put this solution on YOUR website!log2^3x-5=7 log(2^3x) = 12 3x*log(2) = 12 x = 4/log(2) x =~ 13.2877
 Trigonometry-basics/243037: please help me: Find the phase shift of the function y=sec(x-3) HERE ARE THE POSSIBLE ANSWERS: a)3 left b)3 right c)3pi right1 solutions Answer 178083 by Alan3354(30983)   on 2009-11-27 19:17:12 (Show Source): You can put this solution on YOUR website!Shifted 3 right
 Graphs/243055: how do i use a table of values to graph the equation y = - x + 4 1 solutions Answer 178081 by Alan3354(30983)   on 2009-11-27 19:14:08 (Show Source): You can put this solution on YOUR website!You only need 2 points for a straight line. Pick a value for x and find y. x = 0, y = 4 x = 4, y = 0 ------------ Plot (0,4) and (4,0) and draw a line thru them.
 Travel_Word_Problems/243019: I am stuck on this question I hope you can help Suppose that the kicker for the chargers has a punt that can be modeled by h(t)=-2t^2+200, where its height from the ground can be found based on how many seconds (t) have passed since the kick. Given this how long will it take for the foot ball to hit the ground? P.s. I can figure out to type in exponents so the 2t^2 is supposed to be 2t squared1 solutions Answer 178035 by Alan3354(30983)   on 2009-11-27 16:05:15 (Show Source): You can put this solution on YOUR website!h(t)=-2t^2+200 -------------- At t = 0, the ball is 200 feet up? I think it's h(t)=-2t^2+200t ---------------- It hits the ground when h(t) = 0 h(t)=-2t^2+200t = 0 2t^2 = 200t t = 0 (at the start) t = 100 (at impact) ------------------- No units were given. 100 seconds is a long time, but the gravity is weak. Maybe this is on Phobos or Diemos.
 Linear-systems/243010: Find an equation in slope-intercept form if possible through (-8, 1), with undefined slope1 solutions Answer 178022 by Alan3354(30983)   on 2009-11-27 14:26:51 (Show Source): You can put this solution on YOUR website!x = -8 or x+8 = 0 ------------- There's no y term, so y = mx+b won't work.