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# Recent problems solved by 'stanbon'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

 Quadratic-relations-and-conic-sections/78160: the literature club is printing a storybook to raise money. the print shop charges \$3 for each book, and \$30 to create the film. how many books can the club print if their budget is \$690?1 solutions Answer 56057 by stanbon(57282)   on 2007-04-14 18:48:09 (Show Source): You can put this solution on YOUR website!the literature club is printing a storybook to raise money. the print shop charges \$3 for each book, and \$30 to create the film. how many books can the club print if their budget is \$690? ---------- Assuming the firm does not have to be created, the # of books they can print is 690/3=230 ========== Cheers, Stan H.
 Miscellaneous_Word_Problems/78166: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?1 solutions Answer 56056 by stanbon(57282)   on 2007-04-14 18:23:46 (Show Source): You can put this solution on YOUR website!If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? -------------- Let the 1st integer be "x". The next consecutive integer is "x+1". EQUATION: (3/5)(x+1)-(1/2)x = 3 Multiply thru by 10 to get: 6(x+1)-5x=30 x=24 =============== Cheers, Stan H.
 Polynomials-and-rational-expressions/78149: Please help with this problem. I am unsure about which way to write it Subtract 7x^3-9x^2+5x-3 from 3x^3+3x^2+3 Is the equation like this = (7x^3-9x^2+5x-3)- (3x^3+3x^2+3) or is the equation written like this = (3x^3+3x^2+3) - (7x^3-9x^2+5x-3) Thanks so much for your help.1 solutions Answer 56044 by stanbon(57282)   on 2007-04-14 15:25:13 (Show Source): You can put this solution on YOUR website!This is the correct way: (3x^3+3x^2+3) - (7x^3-9x^2+5x-3) = -4x^3 + 12x^2 +6 ========== Cheers, stan H.
 Polynomials-and-rational-expressions/78150: Please Help me !!!!!!!!!!!!!!! How many pounds of salted nuts selling for \$3.00 per pund should be mixed with 2 pounds of salted buts selling for \$1.60 per pund to obtain a mixture selling for \$2.72 per pound. Thank you in advance for helping me. I truly appreciate your help1 solutions Answer 56042 by stanbon(57282)   on 2007-04-14 15:19:23 (Show Source): You can put this solution on YOUR website!How many pounds of salted nuts selling for \$3.00 per pund should be mixed with 2 pounds of salted buts selling for \$1.60 per pund to obtain a mixture selling for \$2.72 per pound. ---------- \$3 Salted nuts DATA: Amount = x lbs ; Value of these is 300x cents ------------- \$1.60 salted nuts DATA: Amount = 2 lbs.Value of these is 160*2=320 cents ----------- Misture DATA: Amount = x+2 lbs ; Value of these is 272(x+2)= 272x+544 cents -------------- EQUATION: value + value = value 300x + 320 = 272x+544 28x =224 x=8 lbs (amount of \$3 coffee) ============ Cheers, Stan H.
 Geometry_Word_Problems/78089: Sam must have an average of 70 or more in his summer course obtain a grade of C. His first three grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.1 solutions Answer 55995 by stanbon(57282)   on 2007-04-13 22:04:55 (Show Source): You can put this solution on YOUR website!Sam must have an average of 70 or more in his summer course obtain a grade of C. His first three grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade. ----------- Let his score on the last test be "x". INEQUALITY: (75+63+68+x)/4 >=70 =========== cheers, Stan H.
 Miscellaneous_Word_Problems/77975: This question is from textbook college algebra Can you please help me with this problem? How many 7-digit telephone numbers are possible if the first digit cannot be 0 and (a) only odd digits may be used? (b) the telephone number must be a multiple of 10, (that is, it must end in 0) (c) the telephone number must be a multiple of 100? (d) the first 3 digits are 481? (e) no repetitions are allowed? Thanks1 solutions Answer 55994 by stanbon(57282)   on 2007-04-13 22:00:33 (Show Source): You can put this solution on YOUR website!How many 7-digit telephone numbers are possible if the first digit cannot be 0 and (a) only odd digits may be used? 9 ways to choose the 1st digit 5^6 ways to choose 6 odd numbers Total ways = 9*5^6=140625 ways ------------------ (b) the telephone number must be a multiple of 10, (that is, it must end in 0) 9 ways to choose the 1st digit 1 way to choose the 7th digit 5^10 ways to choose the remaining digits Total ways = 9*10^5=900,000 -------------------- (c) the telephone number must be a multiple of 100? The last two digits must be zero 9 ways to choose the 1st digit. 1 way to choose the 7th and the 6th digit 10^4 ways to choolse the remaining digits Total ways = 9*10^4=90,000 ------------------ (d) the first 3 digits are 481? 1 way to pick the 1st three digits 10^4 ways to pick the other digits Total 10,000 ways (e) no repetitions are allowed? 9 ways to pick the 1st digit 9 ways to pick the 2nd 8 ways 7 ways etc. Total ways: 9*9!=3265920 ways ============ Cheers, Stan H.
 Trigonometry-basics/78090: This question is from textbook Technical Mathematics Change each angle to degree. 6' 47' 1 solutions Answer 55992 by stanbon(57282)   on 2007-04-13 21:44:49 (Show Source): You can put this solution on YOUR website!Change each angle to degree. 6' 6 min(1degree/60min) = 6/60 degrees = 1/10 degree -------------- 47' 47 min(1 degree/60 min) = 47/60 degrees = 0.783333333... degrees ========== Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/78076: I am unable to answer this can someone help. 1. a) Historical data for Smith Cellular is charted below. Develop a linear model and use it to predict the amount of sales in the future years. 35 30 30____ 25 26___ 21.5___ 15 14.2___ 11.3__ 10 8___ 5 0 2001 2002 2003 2004 2005 2006 b) Explain your rational for the linear model that you develped. (Why did you choose the data points that you did to determine the model?) c) Use your model to predict the sales in year 2010.1 solutions Answer 55991 by stanbon(57282)   on 2007-04-13 21:41:15 (Show Source): You can put this solution on YOUR website!1. a) Historical data for Smith Cellular is charted below. Develop a linear model and use it to predict the amount of sales in the future years. 35 30 30____ 25 26___ 21.5___ 15 14.2___ 11.3__ 10 8___ 5 0 2001 2002 2003 2004 2005 2006 b) Explain your rational for the linear model that you develped. (Why did you choose the data points that you did to determine the model?) ------- You have a set of 6 points: (1,30),(2,8) etc Put them in your calculator and run a Linear Regression program against the data. You get a least-squares regression line: sales=-1.69038(year)+24.69807... c) Use your model to predict the sales in year 2010. Letting the year=10 you get sales = 7.7942 ================ Cheers, Stan H.
 Rational-functions/78079: How do you describe the end behaviors?1 solutions Answer 55988 by stanbon(57282)   on 2007-04-13 21:29:34 (Show Source): You can put this solution on YOUR website!You describe what happens to the function at the far ends of the x-axis. That is to describe what happens to the function as x gets arbitrarily positively large and what happens to the function when x get arbitrarily negatively small. Another way to say it is: Find the limit of f(x) as x goes to + infinity. Find the limit of f(x) as x goes to - infinity. Hope this helps. ============== Cheers, Stan H.
 Radicals/78086: This question is from textbook Collge Algebra 16a^3y3 by radicand 31 solutions Answer 55986 by stanbon(57282)   on 2007-04-13 21:24:18 (Show Source): You can put this solution on YOUR website!16a^3y3 by radicand 3 ---------- If you means "cube root of 16a^3y^3" proceed as follows: cube root of 16 = cube root of (8*2) = 2cube root 2 cube root of a^3 = a cube root of y^3 = y --------------- Answer: 2cube rt 2 a*y ========== Cheers, Stan H.
 Polynomials-and-rational-expressions/78087: Can I please have your help on factoring the trinomial using the diamond method:1 solutions Answer 55985 by stanbon(57282)   on 2007-04-13 21:19:08 (Show Source): You can put this solution on YOUR website!x^2+5xy+4y^2 ------- Rewrite as: x^2+4xy+xy+4y^2 Factor the 1st two terms and the last two terms separately to get: =x(x+4y)+y(x+4y) Factor out the common factor to get: =(x+4y)(x+y) ======== I don't know if this is the "diamond" method; I have heard it described as the AC Method. Hope it helps. Cheers, Stan H.
 Inequalities/78080: solve the folowing inequation x+3/x-2 less than equal to 2 i have solved this in the following way x+3/ x-2 - 2 less than equal to 0 -x+7 / x-2 less than equal to 0 x-7/ x-2 greater than equal to 0 x belongs to (- infinity, 2 ) union [ 7, infinity) SIR I CANNOT UNDERSTAND THIS FORM x belongs to (- infinity, 2 ) union [ 7, infinity) 1 solutions Answer 55984 by stanbon(57282)   on 2007-04-13 21:10:42 (Show Source): You can put this solution on YOUR website!solve the folowing inequation x+3/x-2 <= 2 -------------------------------- 1st: Notice that x cannot be 2 because x-2 is in the denominator. 2nd: Solve the equality: (x+3)/(x-2)=2 x+3 = 2x-4 x=7 (so that is a point in the solution set. 3rd: Draw a line. Plot the two values x=2 and x=7 on the line. This breaks the line into three intervals ; pick a test point in each interval to see where the solution set(s) lie. -------- Interval (-inf,2); pick x=0; substitute into the inequality: 3/-2<2 that is true so the interval is part of the solution set. ------ Interval (2,7] ; pick x=5; substitute to get 8/3<2; false; no solutions here -------- Interval [7,inf); pick x=10; substitute to get 13/8<2; true; solutions here. ============== Final Answer: x is an element of (-inf,2) OR [7,inf} Cheers, Stan H.
 percentage/78067: A marketing company expects 6% of people to return surveys sent to them in the mail. Of the surveys they actually get back, 1/3 are unreadable. If the company wants to receive 200 readable surveys, how many must they mail out? 1 solutions Answer 55972 by stanbon(57282)   on 2007-04-13 17:29:09 (Show Source): You can put this solution on YOUR website!A marketing company expects 6% of people to return surveys sent to them in the mail. Of the surveys they actually get back, 1/3 are unreadable. If the company wants to receive 200 readable surveys, how many must they mail out? ---------------- Let x be the number they need to send out. EQUATIOH: (2/3)0.06x=200 0.04x=200 x=200/0.04=5000 ----------- Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/78065: 1. Find the length of a shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotemuse is 10 miles less than twice the shorter leg. 1 solutions Answer 55969 by stanbon(57282)   on 2007-04-13 17:17:37 (Show Source): You can put this solution on YOUR website!Find the length of a shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotemuse is 10 miles less than twice the shorter leg. --------------- Let the length of the shorter leg be "x" miles. Longer leg is "x+10". Hypotenuse is "2x-10". ------------------------ EQUATION: Use Pythagoras to get: x^2 + (x+10)^2= (2x-10)^2 x^2 + x^2+20x+100 = 4(x^2-10x+25) 2x^2+20x+100 = 4x^2-40x+100 2x^2-60x=0 2x(x-30)=0 x=30 (this is the length of the shorter leg) ============= cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/78066: The sum of two numbers is twenty five and the sum of their square is three hundred and twenty five. Find the numbers.1 solutions Answer 55966 by stanbon(57282)   on 2007-04-13 17:08:00 (Show Source): You can put this solution on YOUR website!The sum of two numbers is twenty five and the sum of their square is three hundred and twenty five. Find the numbers. ------------- Let one of the numbers be "x"; the other must be "25-x". EQUATION: x^2+(25-x)^2=325 x^2+625-50x+x^2=325 2x^2-50x+300=0 x^2-25x+150=0 x=[25+-sqrt(625-4*150)]/2 x=[25+-5]/2 x=15or x=10 One of the numbers is 15; the other is 10 =========== Cheers, Stan H.
 Miscellaneous_Word_Problems/78044: One number is 3 less than another. If 10 times the smaller number minus 4 times the larger numberis 24, find the two numbers.1 solutions Answer 55947 by stanbon(57282)   on 2007-04-13 12:40:40 (Show Source): You can put this solution on YOUR website!One number is 3 less than another. If 10 times the smaller number minus 4 times the larger numberis 24, find the two numbers. ------------ Let one of the numbers be "x" ; Then the smaller number is "x-3". EQUATION: 10(x-3)-4x=24 10x-30-4x=24 6.=54 x=9 (the larger number) x-3=6 (the smaller number) ----------- cheers, Stan H.
 Quadratic_Equations/78016: Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?1 solutions Answer 55946 by stanbon(57282)   on 2007-04-13 12:37:01 (Show Source): You can put this solution on YOUR website!Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone? --------- Winston DATA: Time = x-1 hrs/job ; Rate = 1/(x+1) job/hr --------- Willie DATA: time = x hrs/job ; Rate = 1/x job/hr ------------- Together DATA: Time = 2 hrs/job ; Rate = 1/2 job hr --------------- EQUATION: rate + rate = together rate 1/(x+1) + 1/x = 1/2 (x+x+1)/(x(x+1)) = 1/2 Multiply both sides by x(x+1) 2(2x+1) = x(x+1) 4x+2 = x^2+x x^2-3x-2=0 x=[3+-sqrt(9-4*-2)]/2 x=[3+-sqrt(17)]/2 x=[3.56 hrs is the only positive answer. x+1=4.56 hrs (time Winston needs to do the job alone) -------- Cheers, Stan H.
 Quadratic_Equations/78019: Graph the relation and state its domain and range. x=y^2-11 solutions Answer 55942 by stanbon(57282)   on 2007-04-13 12:27:12 (Show Source): You can put this solution on YOUR website!Graph the relation and state its domain and range. x=y^2-1 ---------- Since y is not in a denominator and y is not in a radical, y can take any value. So, Range is All Real Numbers. --------- Since y^2 is always >0 zero y^2-1 must be >=1. So, Domain is All Real Numbers that are >=1 ------------- To graph, solve for y: y=sqrt(x+1) OR y=-sqrt(x+1) Cheers, Stan H.
 Functions/78041: f(x)=x^2-x1 solutions Answer 55941 by stanbon(57282)   on 2007-04-13 12:20:36 (Show Source): You can put this solution on YOUR website!What is the question? Cheers, Stan H.
 Mixture_Word_Problems/78042: Allen bought 20 stamps at the post office in 0.37 and 0.20 denominations. If the total cost of stamps was \$7.06, how many 0.37 stamps did allen buy?1 solutions Answer 55939 by stanbon(57282)   on 2007-04-13 12:19:05 (Show Source): You can put this solution on YOUR website!Allen bought 20 stamps at the post office in 0.37 and 0.20 denominations. If the total cost of stamps was \$7.06, how many 0.37 stamps did allen buy? --------- Let # of 37 cent stamps be "x" ; Value of these is 37x cents # of 20 cent stamps is "20-x" ; Value of these is 20(20-x)= 400-20x cents -------- EQUATION: value + value = 706 cents 37x + 400-20x = 706 17x=306 x=18 (this is the number of 37 cent stamps) ========= Cheers, Stan H.
 Quadratic_Equations/78038: In 1999, 18.2 million households had a dvd player. If this populaion grows at 25% annually, how many households will have a dvd player in 2004 (5 years later)? A= P(1+r)^t I got: 55.54 million. Is this correct? Thanks~1 solutions Answer 55930 by stanbon(57282)   on 2007-04-13 10:57:40 (Show Source): You can put this solution on YOUR website!In 1999, 18.2 million households had a dvd player. If this populaion grows at 25% annually, how many households will have a dvd player in 2004 (5 years later)? A= P(1+r)^t ---------- A(5) = 18.2(1+0.25)^5 A(5)= 18.2(3.05175...) A(5)= 55.54199... million ========== Cheers, Stan H.
 Quadratic_Equations/78025: need the number for x for finding a parabola question is y=(x-2)2power hurry please ISBN 9739619228 sorry not sure of number1 solutions Answer 55929 by stanbon(57282)   on 2007-04-13 10:53:20 (Show Source): You can put this solution on YOUR website!need the number for x for finding a parabola question is y=(x-2)2power ----- y=(x-2)^2 Your question is rather meaningless; x can take any value. Cheers, Stan H.
 Quadratic_Equations/78037: For a chemical reaction, temperature is a function of time. For Denver Poweroxide this function is T = -t^2 + 7t + 8 (T is degrees Fahrenheit and t is seconds). How long will it take for the temperature to reach zero? Solve by graphing. I got: 1 second. Is this correct? Thanks~1 solutions Answer 55928 by stanbon(57282)   on 2007-04-13 10:49:33 (Show Source): You can put this solution on YOUR website!T = -t^2 + 7t + 8 T=-0 -t^2+2t+8=0 Multiply thru by -1 to get: t^2-2t-8=0 Factor to get: (t-4)(t+2)=0 t=4 seconds is the only positive answer. ========= Cheers, Stan H.
 Quadratic_Equations/78027: Solve for y x+5y=15 Hint: Isolate y on one side of the equal sign.1 solutions Answer 55923 by stanbon(57282)   on 2007-04-13 08:50:30 (Show Source): You can put this solution on YOUR website!Solve for y x+5y=15 5y=15-x y=(15-x)/5 y=3-(1/5)x ========= Cheers, Stan H.
 Radicals/78030: Can someone please help me solve this? I am not sure if I did this right. This is a worksheet assigned and there are no examples like this in the book. Here it is: Perform the indicated operation and simplify. Show your work. (7 cube 3√15 c^8 d^4)(3 cube 3√75 c^5 d^4) I hope I wrote this out correctly. Anyway, this is what I came up with as a final answer, but I wanted to see if it was right: 105 c^4 d^2 cube 3√9c d^2 Please let me know. I would greatly appreciate it! 1 solutions Answer 55922 by stanbon(57282)   on 2007-04-13 08:48:17 (Show Source): You can put this solution on YOUR website!(7 cube 3√15 c^8 d^4)(3 cube 3√75 c^5 d^4) (7^3*3sqrt(15)*c^8*d^4)(3^3*3sqrt(75)*c^5*d^4) = (7*3)^3*(9sqrt(15*75))*(c^(8+5))*(d^(4+4)) = 9261*(9*15sqrt3)*c^13*d^8 =125235(sqrt3) c^13 d^8 ============= Cheers, Stan H.
 Equations/78034: if x a nail can be brought for 6p write down the cost of y nails.1 solutions Answer 55921 by stanbon(57282)   on 2007-04-13 08:38:51 (Show Source): You can put this solution on YOUR website!if x nails can be brought for 6p write down the cost of y nails --------- x nails at 6p Each nail costs 6p/x Therefore y nails costs y(6p/x) ======== Cheers, Stan H.
 Inequalities/77997: #2: Solve each absolute value inequality using interval testing. Graph the solution on a number line and write the solution using set-builder notation form or interval notation form. a. The absolute value of 4k-20 is greater than or equal to 0.1 solutions Answer 55914 by stanbon(57282)   on 2007-04-12 23:01:31 (Show Source): You can put this solution on YOUR website!The absolute value of 4k-20 is greater than or equal to 0. |4k-20|>=0 Factor out the 4 to get: |k-5|>=0 k>=5 or k<=-5 Graph these intervals on a number line. Cheers, Stan H.
 Equations/78005: x2+5x-14 divided by x3+10x+21X1 solutions Answer 55911 by stanbon(57282)   on 2007-04-12 22:49:15 (Show Source): You can put this solution on YOUR website!x2+5x-14 divided by x3+10x+21X ---------- Factor where you can to get: [(x+7)(x-2)]/[x(x+3)(x+7)] -------- Cancel the (x+7) factor that is common to numerator and denominator, to get: =(x-2)/[x(x+3) ============ Cheers, Stan H.
 Quadratic-relations-and-conic-sections/78007: Write an equation of a parabola with a vertex at the origin and a directrix at y=5.1 solutions Answer 55909 by stanbon(57282)   on 2007-04-12 22:42:24 (Show Source): You can put this solution on YOUR website!Write an equation of a parabola with a vertex at the origin and a directrix at y=5. --------------- Plot the vertex point and draw the directrix line. That implies the equation has the form (x-0)^2=4p(y-0) and p=5 (the distance from the directrip to the vertex. EQUATION: 20y=x^2 y=(1/20)x^2 ----------- Cheers, Stan H.
 Triangles/77985: This question is from textbook geometry reasoning The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. Find the unknown value. Then tell whether the lengths form a Pythagorean triple. s=16, t=341 solutions Answer 55891 by stanbon(57282)   on 2007-04-12 21:35:34 (Show Source): You can put this solution on YOUR website!The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. Find the unknown value. Then tell whether the lengths form a Pythagorean triple. s=16, t=34 ------------ r^2=t^2-s^2 r^2=34^2-16^2 r^2=900 r=30 --------- Cheers, Stan H.
 Quadratic-relations-and-conic-sections/77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0 x^2 +y^2 + 6x - 2y =-4 x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1))) please help me 1 solutions Answer 55888 by stanbon(57282)   on 2007-04-12 21:28:41 (Show Source): You can put this solution on YOUR website!3x^2 + y^2 +18x - 2y + 4=0 Complete the square for the x-terms and for the y-terms separately. --------- 3(x^2+6x+9) + y^2-2y+1) = -4+27+1 3(x+3)^2 + (y-1)^2 = 24 Divide thru by 24 to get the form of a hyperbola. [(x+3)^2]/8 + [(y-1)^2]/24 = 1 ========= Cheers, Stan H.