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 Radicals/288439: How do I solve this equation (1 - sqrt x)^2?1 solutions Answer 209080 by Alan3354(30958)   on 2010-04-04 18:48:04 (Show Source): You can put this solution on YOUR website!It's not an equation, there's no equal sign. --> nothing to solve.
 Trigonometry-basics/288422: A ship leaves port and travels 7 miles due east, then turns and travels 6 miles due south. find the bearing from the port to the ship.1 solutions Answer 209070 by Alan3354(30958)   on 2010-04-04 18:18:43 (Show Source): You can put this solution on YOUR website!A ship leaves port and travels 7 miles due east, then turns and travels 6 miles due south. find the bearing from the port to the ship. -------------------- Due east is a bearing of 090º Arctan(6/7) =~ 40.6º Bearing =~ 130.6º
 Trigonometry-basics/288405: How do i solve: 16 cos 115 ?1 solutions Answer 209060 by Alan3354(30958)   on 2010-04-04 17:19:59 (Show Source): You can put this solution on YOUR website!16 cos 115 ? -------------- There's no solving, just use a calculator 16 cos 115 =~ -6.76189
 Quadratic-relations-and-conic-sections/288363: Hello, I have a question regarding formulas and equations. So, i tried to figure out this problem, however, I am not sure if the answer is correct: is the graph of 11x - x^2 - 4y^2 = 2y - 16 the graph of an ellipse? I am not sure...thank you for your time:)1 solutions Answer 209058 by Alan3354(30958)   on 2010-04-04 17:12:58 (Show Source): You can put this solution on YOUR website!There's an x^2 term and a y^2 term, and their signs are the same. --> ellipse
 Trigonometry-basics/288384: I don't understand how to solve these two question. Can someone please explain in detail? 1. A ranger in fire tower A spots a fire at a direction of 40 degrees. A ranger in fire tower B, which is 28 miles away directly east of tower A, spots the same fire at a direction of 330 degrees. How far from tower A is the fire? 2. A boat leaves the dock and sails in a direction of 70 degrees. Once reaching its destination on the opposite shore, it sails in a direction of 272 degrees and docks 150 km north of its original starting position. What is the total distance the boat has traveled? I appreciate your help. 1 solutions Answer 209032 by Alan3354(30958)   on 2010-04-04 14:58:05 (Show Source): You can put this solution on YOUR website!1. A ranger in fire tower A spots a fire at a direction of 40 degrees. A ranger in fire tower B, which is 28 miles away directly east of tower A, spots the same fire at a direction of 330 degrees. How far from tower A is the fire? --------------------------- Directions are given using North as 0/360º Points A, B and the fire (point F) form a triangle. Side AB is 28 miles Angle A is 90 - 40 = 50º Angle B is 60º (330-270) Angle F is 70º (180 - 50 - 60) Use the law of sines to find AF AF/sin(60) = 28/sin(70) AF =~ 25.805 miles ------------------ 2. A boat leaves the dock and sails in a direction of 70 degrees. Once reaching its destination on the opposite shore, it sails in a direction of 272 degrees and docks 150 km north of its original starting position. What is the total distance the boat has traveled? ------------------------ S = starting point D = destination N = point 150 km north of S ------------------- Side SN = 150 km Angle S = 70º Angle D = 22º Angle N = 88º Use the Sine Law as above. ------------------ Getting the angles from the given directions isn't familiar to most people. Email me and I'll send sketches showing how it's done.
 Polynomials-and-rational-expressions/288386: Can't find any lesson that explains solving equations containing a rational exponent on the variable. Here's my problem: (there are lessons for more in-depth problems, but I need to learn the simple stuff before moving on to the more complicated stuff) (x to the 4/3 power=81) I used which made and then divided by 3, so Does this look right? I didn't think I was supposed to have any power left afterwards.1 solutions Answer 209031 by Alan3354(30958)   on 2010-04-04 14:44:34 (Show Source): You can put this solution on YOUR website! (x to the 4/3 power=81) I used **** this is not good ------------------------ is better Then x = 27 ------------- Also, x = -27 ------------- There are other solutions with complex numbers, but this is proably sufficient for now. ------------- which made and then divided by 3, so Does this look right?
 Linear-equations/288353: write an equation of the line containing the given point and parellel to the given line (9,-1)8x-5y=3 the equation of the line is y=1 solutions Answer 209030 by Alan3354(30958)   on 2010-04-04 14:41:04 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note.
 Proportions/288357: Find the value of x. x%=x+6/2001 solutions Answer 209029 by Alan3354(30958)   on 2010-04-04 12:57:57 (Show Source): You can put this solution on YOUR website!x%=x+6/200 I suppose x% is x/100 x/100=x+6/200 Multiply thru by 200 2x = 200x + 6 -198x = 6 x = -1/33
 Polynomials-and-rational-expressions/288349: (4d+7)/3-5d-5/7=61 solutions Answer 209027 by Alan3354(30958)   on 2010-04-04 12:49:00 (Show Source): You can put this solution on YOUR website!(4d+7)/3-5d-5/7=6 ------------------ Muttiply thru by 21 7*(4d+7) - 105d - 15 = 126 28d+49 - 105d = 141 -77d = 92 d = -92/77
 Divisibility_and_Prime_Numbers/275844: I am trying to use Fermat's factorization technique to find the prime factorization of 1807. I am using the formula √(n^2- 1807)(square root). I have tried up to 167 and am having little luck. I would appreciate some help. Thank you1 solutions Answer 209026 by Alan3354(30958)   on 2010-04-04 12:46:11 (Show Source): You can put this solution on YOUR website! 1807 = 13*139
 Polynomials-and-rational-expressions/288344: Problem is: I've tried several ways, but can't come up with an answer that fits in the slot for "m". Is this unsolvable? My most current attempt at a solution: by adding to the left side and subtracting from the left and adding it to the right side. This equals I then tried multiplying each side by (m-2) which brought me to and broken down even further, this comes to which breaks down to and with left to fend for himself. all that makes so I added the -8 to each side and got Now I'm not sure what to do (if I've even been doing it right so far) Do I divide each side by 2 to break up the or am I already too far gone? I could try moving the 9 back over to the left side and trying a quadratic formula, but these numbers just don't look right together. The last three problems were unsolvable, which leaves me questioning whether or not this one is, too, and if not, was I wrong on all of the other ones?? Any suggestions on what I should change or how to fix whatever I'm doing wrong? Any help is appreciated, thank you!1 solutions Answer 209007 by Alan3354(30958)   on 2010-04-04 11:19:54 (Show Source): You can put this solution on YOUR website!Problem is: ------------------- Multiply thru by (2m+1)*(m-2) 8(m-2) - (2m+1) = 5(m-2) 8m-16 - 2m-1 = 5m-10 6m - 17 = 5m-10 m = 7
 Exponential-and-logarithmic-functions/287113: how do you solve 16^2x+3=81 solutions Answer 209006 by Alan3354(30958)   on 2010-04-04 11:14:12 (Show Source): You can put this solution on YOUR website!how do you solve 16^2x+3=8 ---------------------- 16^2x = 5 2x*log(16) = log(5) x = log(5)/(2log(16)) x =~ 0.290241
 Miscellaneous_Word_Problems/288271: A ball bounces 1/3 of the height from which it is dropped. If it reaches a height of 3 units on the third bounce, from what height was it originally dropped ? A 3 b 9 c 27 d 81 e 243 1 solutions Answer 209005 by Alan3354(30958)   on 2010-04-04 11:11:55 (Show Source): You can put this solution on YOUR website!A ball bounces 1/3 of the height from which it is dropped. If it reaches a height of 3 units on the third bounce, from what height was it originally dropped ? A 3 b 9 c 27 d 81 e 243 -------------- h = (1/3)(h0) = (1/3)^n*(h0) h0 = h/(1/3)^n = 3/(1/3)^3 = 3*3^3 h0 = 81 units ------------- b#...h 1.....27 2.....9 3.....3
 Divisibility_and_Prime_Numbers/288285: The sum of all the prime numbers which are greater than 6 and less than 37 is (a) 121 (b) 137 (c) 150 (d) 177 (e\ 184 1 solutions Answer 209003 by Alan3354(30958)   on 2010-04-04 10:59:05 (Show Source): You can put this solution on YOUR website!The sum of all the prime numbers which are greater than 6 and less than 37 is (a) 121 (b) 137 (c) 150 (d) 177 (e\ 184 ----------------- There are only 8 of them, so add them up.
 logarithm/288336: I need help with Logarithms. 128^(2x-1)=(1/16)^(x+2)1 solutions Answer 209002 by Alan3354(30958)   on 2010-04-04 10:57:05 (Show Source): You can put this solution on YOUR website!128^(2x-1)=(1/16)^(x+2) ----------------------- 128 = 2^7 (if you don't know this, you should) 1/16 = 2^-4 ------------- Since the bases are the same: 7(2x-1) = -4(x+2) You can finish it.
 Radicals/288292: Give the GCF of 25p^2q^3, 45p^5q^2, 75p^4q^3. A. 5p5q3 B. 5pq C. 5p2q2 D. 45p4q3 1 solutions Answer 209000 by Alan3354(30958)   on 2010-04-04 10:53:48 (Show Source): You can put this solution on YOUR website!Give the GCF of 25p^2q^3, 45p^5q^2, 75p^4q^3 -------- A. 5p5q3 B. 5pq C. 5p2q2 D. 45p4q3 ---------- It's not D because of the 45. A, B and C all have a 5 ------------------------ Check for the lowest exponent of p: it's 2 in the 1st term. --------------- Check for the lowest exponent of q: it's 2 in the 2nd term. --> 5p^2q^2 C
 Travel_Word_Problems/288304: If a man left a starting line and rode at 24mph for 25 miles. How long would it take another man leaving from the same starting line 1 minute later to catch him traveling 28mph? 1 solutions Answer 208976 by Alan3354(30958)   on 2010-04-04 09:42:16 (Show Source): You can put this solution on YOUR website!If a man left a starting line and rode at 24mph for 25 miles. How long would it take another man leaving from the same starting line 1 minute later to catch him traveling 28mph? ------------------- 1 minute later than what? After he had gone 25 miles? Or 1 minute after he left?
Quadratic_Equations/288295: I asked this problem earlier, but have learned how to type it so that it is easier for you to read and understand. I need to square this problem.
Problem: 2x^2+4x-1=0
Formula I used was:
I got:

then
then
then (this is supposed to read "+ or - 2" not -2)
then (this is supposed to read "+ or - 2", not -2)
then after simplifying, I get

My book says the answer is:
I can't figure out where I went wrong, so I can't answer my real question of 2x^2+10x-3=0.
Any help is appreciated!! Thank you!
1 solutions

Answer 208961 by Alan3354(30958)   on 2010-04-04 08:13:29 (Show Source):
You can put this solution on YOUR website!
then (this is supposed to read "+ or - 2", not -2)
then after simplifying, I get
**** This last step is not right ***
---------------------------
My book says the answer is:
I can't figure out where I went wrong, so I can't answer my real question of 2x^2+10x-3=0.
-----------------
2x^2+10x-3=0
 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=124 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.283882181415011, -5.28388218141501. Here's your graph:

---------------------
= (-5 ± sqrt(31))/2

 Miscellaneous_Word_Problems/288287: A dog and a rabbit are 180 meters apart The dog chases the rabbit. For every 9 meters that the dog runs, the rabbit jumps 5 meters. The distance, in meters, that the dog must run in order to overtake the rabbit is (a) 184 (b) 189 (c) 225 (d) 405 (e) 16201 solutions Answer 208959 by Alan3354(30958)   on 2010-04-04 08:08:45 (Show Source): You can put this solution on YOUR website!A dog and a rabbit are 180 meters apart The dog chases the rabbit. For every 9 meters that the dog runs, the rabbit jumps 5 meters. The distance, in meters, that the dog must run in order to overtake the rabbit is (a) 184 (b) 189 (c) 225 (d) 405 (e) 1620 ---------------------- The dog gains on the rabbit at 4 meters/unit time (whatever the units are) 180/4 = 45 units 9*45 = 405 meters d
 Functions/288301: Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). 1 solutions Answer 208958 by Alan3354(30958)   on 2010-04-04 08:03:53 (Show Source): You can put this solution on YOUR website! Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) --------------------- 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.
 Quadratic_Equations/288244: how can i facto the following equation using the zero product property? 10^2-25x+10^2=01 solutions Answer 208917 by Alan3354(30958)   on 2010-04-03 22:19:12 (Show Source): You can put this solution on YOUR website!how can i facto the following equation using the zero product property? 10^2-25x+10^2=0 -------------------- It's an equation. 100 - 25x + 100 = 0 25x = 200 x = 8
 Square-cubic-other-roots/288111: I'm having trouble understanding "fi." Please help me solve SQRT 5 + 1/2 = 2/SQRT 5 - 1. Thanks.1 solutions Answer 208914 by Alan3354(30958)   on 2010-04-03 22:05:39 (Show Source): You can put this solution on YOUR website!I'm having trouble understanding "fi." What is "fi?" ------------- Please help me solve SQRT 5 + 1/2 = 2/SQRT 5 - 1. There's no variable, nothing to solve for. You have an "equality" is all.
 logarithm/288112: log2^.5-3log31 solutions Answer 208855 by Alan3354(30958)   on 2010-04-03 16:56:59 (Show Source): You can put this solution on YOUR website!What about it? Do you have a question?
 Rational-functions/288118: y=-x-51 solutions Answer 208854 by Alan3354(30958)   on 2010-04-03 16:55:47 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Probability-and-statistics/288103: Why do so many of life’s events share the same characteristics as the central limit theorem1 solutions Answer 208853 by Alan3354(30958)   on 2010-04-03 16:55:05 (Show Source): You can put this solution on YOUR website!Because each of its legs are both the same.
 Equations/288116: the sum 37 three times a number is 67 1 solutions Answer 208852 by Alan3354(30958)   on 2010-04-03 16:54:11 (Show Source): You can put this solution on YOUR website!what?
 Finance/288135: I am unable to figure out this problem I would like help please Find the equation for the line passing through (2,1) with slope 5/2. Eric1 solutions Answer 208838 by Alan3354(30958)   on 2010-04-03 16:25:31 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note.
 Travel_Word_Problems/288160: I am needing help with this problem. I am totally confused on how to solve this problem. Two airplanes are leaving O'Hare at the same time, one bound for New York and the other for California. The one heading to California has a tail wind and is thus going 25 MPH faster than the one headed for New York. If after one hour they are 575 miles apart, what are their speeds? Thanks, Jen 1 solutions Answer 208826 by Alan3354(30958)   on 2010-04-03 15:46:07 (Show Source): You can put this solution on YOUR website!Assuming that one is due west and the other due east is unreasonable. California is 2000 miles from north to south, so the direction is not known. ------------- The best answer is "insufficient data."
 Finance/288161: I am confused and do not know how to graph this, can some one please assist. graph 5x + y = 5? thanks, Jen 1 solutions Answer 208825 by Alan3354(30958)   on 2010-04-03 15:43:40 (Show Source): You can put this solution on YOUR website!Here's one way. Solve for y: y = -5x + 5 Pick 2 values for x, find y Plot the 2 points, draw a line thru them.
 Polynomials-and-rational-expressions/288147: A. 8y – 6 B. 8y – 12 C. 6y – 6 D. 2y 1 solutions Answer 208817 by Alan3354(30958)   on 2010-04-03 14:29:20 (Show Source): You can put this solution on YOUR website!take a guess. email me via the TY note to check your work.
 Equations/288101: -3x(x+4) 2x^3(x-3)= my answers were -12x+-3x^2 and -6x^3+2x^4 and I was marked wrong according to the algebra calculator I was right who is right the teacher or me. 1 solutions Answer 208797 by Alan3354(30958)   on 2010-04-03 11:40:24 (Show Source): You can put this solution on YOUR website!-3x(x+4) 2x^3(x-3)= my answers were -12x+-3x^2 and -6x^3+2x^4 and I was marked wrong according to the algebra calculator I was right who is right the teacher or me. ------------------ ----------- ----------------- What's an "algebra calculator?" What did the teacher say the right answers are?