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# Recent problems solved by 'Alan3354'

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 Exponents-negative-and-fractional/261452: answer in the form of a+bi -4__ i1 solutions Answer 192640 by Alan3354(30993)   on 2010-01-26 18:18:39 (Show Source): You can put this solution on YOUR website!Is it -4/i ?? If so = 4i or 0 + 4i, but just 4i is sufficient.
 Linear_Equations_And_Systems_Word_Problems/261209: 1.The sum of a number and its reciprocal is 10/3. Find the number. 1 solutions Answer 192552 by Alan3354(30993)   on 2010-01-26 15:21:19 (Show Source): You can put this solution on YOUR website!It's 3. The 3 in the DEN is a clue.
 logarithm/261358: logbase9 5x = logbase9 6 + logbase9 (x-2)1 solutions Answer 192550 by Alan3354(30993)   on 2010-01-26 15:13:27 (Show Source): You can put this solution on YOUR website!Do it like this one. logbase3 12+ logbase3 x = 3 ---------- 12x = 27 x = 9/4
 logarithm/261360: logbase9 5x = logbase9 6 + logbase9 (x-2)1 solutions Answer 192549 by Alan3354(30993)   on 2010-01-26 15:12:52 (Show Source): You can put this solution on YOUR website!Do it like this one: logbase3 12+ logbase3 x = 3 ---------- 12x = 27 x = 9/4
 logarithm/261361: logbase3 12+ logbase3 x = 31 solutions Answer 192547 by Alan3354(30993)   on 2010-01-26 15:10:54 (Show Source): You can put this solution on YOUR website!logbase3 12+ logbase3 x = 3 ---------- 12x = 27 x = 9/4
 Linear-equations/261329: (7,8);3x + y = 2 The equation of the line is Y= ?1 solutions Answer 192536 by Alan3354(30993)   on 2010-01-26 14:54:11 (Show Source): You can put this solution on YOUR website!The equation of what line?
 Problems-with-consecutive-odd-even-integers/261347: The sum of 3 consecutive odd intergers is 171. What are these intergers?1 solutions Answer 192533 by Alan3354(30993)   on 2010-01-26 14:45:29 (Show Source): You can put this solution on YOUR website!171/3 = 57, which is the middle number. Can you guess the other 2?
 Linear-equations/261307: (x) = 4b^2 - 6x + 13b x = -2 x = 4 Help with this please1 solutions Answer 192527 by Alan3354(30993)   on 2010-01-26 14:21:17 (Show Source): You can put this solution on YOUR website!(x) = 4b^2 - 6x + 13b x = -2 x = 4 Help with this please ---------------- What is it you want to do? There are 3 equations shown.
 Geometry_Word_Problems/261337: A cylindrical drum has a diameter of 2.5 feet and stands 4 feet high. What is the volume of the drum? Use V=nr^2h. Show all steps necessary to arrive at your solution.1 solutions Answer 192524 by Alan3354(30993)   on 2010-01-26 14:11:46 (Show Source): You can put this solution on YOUR website!A cylindrical drum has a diameter of 2.5 feet and stands 4 feet high. What is the volume of the drum? Use V=nr^2h. Show all steps necessary to arrive at your solution. -------------- You have the equation for volume. r = 2.5/2 = 1.25 feet What answer do you get?
 Equations/261268: 4r^2-1211 solutions Answer 192466 by Alan3354(30993)   on 2010-01-26 11:21:50 (Show Source): You can put this solution on YOUR website!Do you have a question? ------------------ What would you do if you got a phone call and someone said: "Four r squared minus 121." ??
 Equations/261277: 4z + 27 + x5 =1 solutions Answer 192464 by Alan3354(30993)   on 2010-01-26 11:19:17 (Show Source): You can put this solution on YOUR website!What do you want to do with that?
 Miscellaneous_Word_Problems/261222: In the USA, the symbol 5/2 means the fifth month, second day, or May 2. But in England, 5/2 means the fifth day, second month, or February 5. How many days of the year have the same symbol in both the USA and England?1 solutions Answer 192461 by Alan3354(30993)   on 2010-01-26 11:09:46 (Show Source): You can put this solution on YOUR website!12
 Miscellaneous_Word_Problems/261269: If you go 28 minutes to go 50 miles how fast are you going? how do you figure it out?1 solutions Answer 192459 by Alan3354(30993)   on 2010-01-26 11:07:49 (Show Source): You can put this solution on YOUR website!If you go 28 minutes to go 50 miles how fast are you going? how do you figure it out? -------------- 50 miles/28 min = 25/14 miles/minute =~ 1.786 miles per minute ------------------ No particular units were asked for, so it's miles per minute. =~ 157 feet/second
 logarithm/261253: log3381 solutions Answer 192448 by Alan3354(30993)   on 2010-01-26 10:10:08 (Show Source): You can put this solution on YOUR website!Do you not have a calculator?
 Numbers_Word_Problems/261224: Each letter in a cryptorithm stands for a different digit. Every time a letter is used it has the same value. No two different letters have the same value. Find the values of I, B, and L in the following puzzle. I + B B ____________ I L L1 solutions Answer 192439 by Alan3354(30993)   on 2010-01-26 09:24:49 (Show Source): You can put this solution on YOUR website!I = 1 and B = 9 will work.
 Permutations/261244: How many combinations on a pizza can you create? 1 solutions Answer 192438 by Alan3354(30993)   on 2010-01-26 09:23:33 (Show Source): You can put this solution on YOUR website!Combinations of what?
 Quadratic_Equations/261214: Factor the trinomial completely. a^3-5a^2-14a Thank you so much for your help.1 solutions Answer 192436 by Alan3354(30993)   on 2010-01-26 09:22:46 (Show Source): You can put this solution on YOUR website!What did you try? Do you see any common factors, common to all the terms?
 Quadratic_Equations/261216: Solve.... The solution or solutions is/are r = ________ r^2+2r-35=0 Thank you so much for your time.1 solutions Answer 192433 by Alan3354(30993)   on 2010-01-26 09:21:14 (Show Source): You can put this solution on YOUR website!You can factor that easily. 35 = 1 times 35 or 5 times 7
 Quadratic_Equations/261243: A student opens a mathematics book to two facing pages. The product of the page numbers is 600. what are the two page numbers?1 solutions Answer 192431 by Alan3354(30993)   on 2010-01-26 09:19:08 (Show Source): You can put this solution on YOUR website!sqrt(600) is between 24 and 25 pages are 24 and 25.
 Problems-with-consecutive-odd-even-integers/261226: Find four consecutive integers whose sum is -38. 1 solutions Answer 192430 by Alan3354(30993)   on 2010-01-26 09:18:05 (Show Source): You can put this solution on YOUR website!The easy way: -38/4 = -9.5 which is the center. 2 numbers are adjacent on either side. --> -11, -10, -9, -8
 Triangles/261235: 1. Angle A=72 degrees Side C=14 in. Side A= ? inches1 solutions Answer 192427 by Alan3354(30993)   on 2010-01-26 09:14:12 (Show Source): You can put this solution on YOUR website!Not enough info.
Pythagorean-theorem/261102: a right triangle has hypotenuse of lenght 13 and legs A and B. If the area of the triangle is 14, what is the sum A+B? We do not think this is possible. If the Square of the hypotenuse is 169, and it is an equilateral triangle, the sides would be about 9, and one half of 9*9 (the area of the triangle) is more like 40 than 14
1 solutions

Answer 192360 by Alan3354(30993)   on 2010-01-25 22:31:21 (Show Source):
You can put this solution on YOUR website!
a right triangle has hypotenuse of lenght 13 and legs A and B. If the area of the triangle is 14, what is the sum A+B?
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a^2 + b^2 = 169
ab/2 = 14 --> a = 28/b
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(28/b)^2 + b^2 = 169
784 + b^4 = 169b^2
b^4 - 169b^2 + 784 = 0
Sub x for b^2
 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=25425 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 164.22609359551, 4.77390640449013. Here's your graph:

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b^2 =~ 164.226
b^2 =~ 4.7739
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b =~ 12.8166, a =~ 2.1849 or vice versa
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a + b = 15
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In any right triange with a specified lenght of the hypotenuse, the max area is
c^2/2.
For a hyp = 13, that's 169/2 = 84.5 sq units. Any area less than that can be made with hyp = 13.

 Triangles/261094: determine the measure of side b, given the following information for triangle ABC prince: c=59ft A=65degrees B=65degrees1 solutions Answer 192348 by Alan3354(30993)   on 2010-01-25 21:43:06 (Show Source): You can put this solution on YOUR website! determine the measure of side b, given the following information for triangle ABC prince: c=59ft A=65degrees B=65degrees ----------- C = 50 degs (180 - 65 - 65) ------------ Use the Law of Sines: b/sin(B) = c/sin(C) b = 59*sin(65)/sin(50) b =~ 69.8 feet
 Square-cubic-other-roots/261085: how would i write an expression in simplest radical form of the square root of 72?1 solutions Answer 192338 by Alan3354(30993)   on 2010-01-25 21:28:58 (Show Source): You can put this solution on YOUR website!72 = 36*2 sqrt(36) = 6 Go from there.
 Graphs/261067: I need help graphing the equations. y=2x+6 y=-x-3 I figured that they cross at (-3.0) I got that the answers are x=-3 and y=0 but not sure how to graph both equations. 1 solutions Answer 192329 by Alan3354(30993)   on 2010-01-25 21:17:46 (Show Source): You can put this solution on YOUR website! I need help graphing the equations. y=2x+6 y=-x-3 I figured that they cross at (-3.0) I got that the answers are x=-3 and y=0 but not sure how to graph both equations. --------------- They're 2 straight lines, so 2 points each is sufficient. Pick values for x and find y y = 2x+6 --------- x...y 0...6 --> (0,6) -3..0 --> (-3,0) Draw a line thru the 2 points. Do the same for the other equation.
 Quadratic_Equations/260990: t^5-256t=0 I took a t out and got: t(t4-256)=0 what do i do now?1 solutions Answer 192269 by Alan3354(30993)   on 2010-01-25 19:23:40 (Show Source): You can put this solution on YOUR website! t^5-256t=0 ----------- t*(t^4 - 256) = 0 t = 0 ------ (t^2 - 16)*(t^2 + 16) = 0 ----------------- t^2 - 16 = 0 t = +4 t = -4 ------- t^2 + 16 = 0 t = +4i t = -4i
 Trigonometry-basics/260857: what is the value of x if a triangle has a side x + 1 and x +3 and x 1 solutions Answer 192212 by Alan3354(30993)   on 2010-01-25 17:53:46 (Show Source): You can put this solution on YOUR website!what is the value of x if a triangle has a side x + 1 and x +3 and x -------------------- Not enough info.
 Linear-equations/260917: Write an equation in slope-intercept for for the two ordered pairs. (3,-4) and (6,1)1 solutions Answer 192201 by Alan3354(30993)   on 2010-01-25 17:42:09 (Show Source): You can put this solution on YOUR website!Do it like this one: ------------------- This is a 2 step process. First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 --------- Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 ------- y = mx + b y = 4x - 7 is the answer. ------------------------ ------------------------ For further assistance, or to check your work, email me via the thank you note.
 Graphs/260806: How do you solve 1/3y+4y/y^2-1+7/y-11 solutions Answer 192111 by Alan3354(30993)   on 2010-01-25 13:34:15 (Show Source): You can put this solution on YOUR website!You need to clarify what the problem is. Parentheses are free, use some.
 Pythagorean-theorem/260756: How far from the wall is a 8 meter long ladder if it reaches 6 meters up the wall?1 solutions Answer 192093 by Alan3354(30993)   on 2010-01-25 12:08:10 (Show Source): You can put this solution on YOUR website!Use the Theorem of Pythagoras.
 Numbers_Word_Problems/260735: what is the equations to, the second of two nubers is 4 more than the first. teh sum of the numbers is 56. find the numbers1 solutions Answer 192085 by Alan3354(30993)   on 2010-01-25 11:39:15 (Show Source): You can put this solution on YOUR website!The first number is n The 2nd number is n+4 -------- What do you think is the next move?