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solver91311 answered: 16865 problems
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Linear-equations/500615: Find an equation for the line that is perpendicular to the line y =（2/7）x + 3 and that passes through the point (3,−17). 1 solutions Answer 338193 by solver91311(16877)   on 2011-09-19 19:19:45 (Show Source): You can put this solution on YOUR website! Step 1: Determine the slope of the line represented by the given equation. Since the given equation is in slope-intercept form, the slope is determined by inspection of the coefficient on . Step 2: Calculate the negative reciprocal of the slope determined in step 1. Step 3: Use the fact that the slope of perpendicular lines have slopes that are negative reciprocals, i.e. and the two-point form of an equation of a line to write the desired equation: where are the coordinates of the given point and is the calculated slope. Check with your teacher/instructor/professor as to the desired form of the answer -- generally either slope-intercept form: or standard form: -- and arrange the result of step 3 to fit the appropriate form. Note: Some texts and/or professors require that the coefficients in standard form be integers. John My calculator said it, I believe it, that settles it

Rectangles/500340: the perimeter of a rectangle is 60 cm and its area is 216 sq cm. Find its dimension. 1 solutions Answer 338115 by solver91311(16877)   on 2011-09-19 12:30:51 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by Since you are given a perimeter of 60 cm: The area of a rectangle is given by Since you are given an area of 216 cmē you can write: But from the previous steps you can substitute for : A little algebra music, Sammy: Solve the quadratic. The two roots will be your dimensions. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/500309: if the difference of any two numbers is 6 and their product is 18. what is the sum of their squares? 1 solutions Answer 338106 by solver91311(16877)   on 2011-09-19 11:49:29 (Show Source): You can put this solution on YOUR website! Let represent one of the numbers. Let represent the other number. Then: and Solve the first equation for Substitute into the second equation: Solve the quadratic either by completing the square or using the quadratic formula. Then, since We want the sum of the squares, so calculate: Then calculate: Verification that , the correctness of the solutions to the quadratic equation, and that the results of the calculation of is the same for both the positive and negative roots is left as an exercise for the student. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/500287: How many km can a car travel in 2 hours at 40km/h 1 solutions Answer 338105 by solver91311(16877)   on 2011-09-19 11:22:55 (Show Source): You can put this solution on YOUR website! 40 km/hr means that you travel 40 km each hour. John My calculator said it, I believe it, that settles it

test/500298: Which line is perpendicular to y=2x-4? 1 solutions Answer 338104 by solver91311(16877)   on 2011-09-19 11:21:06 (Show Source): You can put this solution on YOUR website! The one that has a slope that is the negative reciprocal of the slope of the line represented by the given equation. John My calculator said it, I believe it, that settles it

Functions/498777: Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations. F(x)=16x/(x^2+9) 1 solutions Answer 337158 by solver91311(16877)   on 2011-09-16 01:48:45 (Show Source): You can put this solution on YOUR website! The domain of a function is the set of values of the independent variable (, in this case) for which the function is defined. Rational functions are undefined for any value of the variable that would cause the denominator to equal zero. So set the expression in the denominator equal to zero and solve. The value or values in the solution set, if any, will be the value or values that are excluded from the domain. In your case, the denominator function is a quadratic polynomial that has two real number roots. Until you solve , let us refer to these roots as and and presume without loss of generality (the subscripts are arbitrary) that Your domain, in interval notation, is a rather clumsy: In fact, set builder notation is much more descriptive, IMHO: John My calculator said it, I believe it, that settles it

Distributive-associative-commutative-properties/498772: Name the property that justifies each step of solving the equation... 4(r+3s)-5r=4r+12s-5r =(4r-5r)+12s =(4-5)r+12s =r+12s 1 solutions Answer 337157 by solver91311(16877)   on 2011-09-16 01:31:43 (Show Source): You can put this solution on YOUR website! Distributive Property Associative Property Distributive Property (Used the other way) MSDMUBT Property (Math Student Done Messed Up Big Time) Done correctly, it would have been the Definition of Addition of Signed Numbers Final result should be John My calculator said it, I believe it, that settles it

Graphs/498761: I have done simple graphs but (6x – 3 = x – y) is getting me confused. I don't know what the x - y is for after the = sign. If anyone could help explain this problem to me, I would be very much appreciative. Thank you. 1 solutions Answer 337155 by solver91311(16877)   on 2011-09-16 01:25:13 (Show Source): You can put this solution on YOUR website! Add 3 to both sides, add -x to both sides, and then add y to both sides. Then see if it doesn't make better sense. John My calculator said it, I believe it, that settles it

Geometry_proofs/498771: How do you write two-column proofs for the given of k ll l and the prove of angle 2 is congruent to angle 7 1 solutions Answer 337154 by solver91311(16877)   on 2011-09-16 01:22:35 (Show Source): You can put this solution on YOUR website! You're kidding, right? We are supposed to guess at what the figures look like and whatever other information that might be available? This is Algebra.com. It is NOT the Psychic Hot Line.

Functions/498765: Finding equations of asymptotes of rational functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line. a) Find the equations of both the horizontal and vertical asymptotes of the rational function f (x)=5x-1/x2+9 b) Find the equations of both the horizontal and vertical asymptotes of the rational function f(x)=2x^2+8/x-1 c) In words explain what an asymptote is. 1 solutions Answer 337152 by solver91311(16877)   on 2011-09-16 01:20:48 (Show Source): You can put this solution on YOUR website! One question per post. Which one do you need the most help with?

Functions/498763: Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations. A. F(x)=3x-1 B. G(x)=sqrt(x+5) C. F(x)=16x/(x^2+9) D. G(x)=13x^2-5x+9 E. F(x)=6/(x-5) 1 solutions Answer 337151 by solver91311(16877)   on 2011-09-16 01:20:11 (Show Source): You can put this solution on YOUR website! One question per post. Which one is most important to you?

Probability-and-statistics/498764: 1000 people went to the fair. If the fair charged $2 per child and $3 per adult and made a total of $2600, how many children and how many adult went? 1 solutions Answer 337150 by solver91311(16877)   on 2011-09-16 01:19:02 (Show Source): You can put this solution on YOUR website! Why did you submit this question twice?

Money_Word_Problems/498768: 1000 people went to the fair. if the fair charged $2 per child and $3 per adult and made a total of $2600 , how many children and how many adoults went? 1 solutions Answer 337149 by solver91311(16877)   on 2011-09-16 01:18:23 (Show Source): You can put this solution on YOUR website! Why did you submit this question twice?

Linear-systems/498592: Formulate a system of equations for the situation below and solve. A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, and long-sleeve. The time (in minutes) required by each department to produce a dozen blouses of each type is shown in the following table. Sleeveless Short-sleeve Long-sleeve Cutting 9 12 15 Sewing 22 24 28 Packaging 6 8 8 The cutting, sewing, and packaging departments have available a maximum of 93, 188, and 56 labor-hours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity? sleeveless _______dozen short-sleeve _______dozen long-sleeve _______ dozen 1 solutions Answer 337080 by solver91311(16877)   on 2011-09-15 20:26:53 (Show Source): You can put this solution on YOUR website! A consderable amount of effort goes into setting up and solving one of these linear programming problems, even one as elementary as your example. You need to provide incentive for someone to exert such effort. I would be delighted to give you a quote, if you like. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/498591: Alberta is going to have dinner at her grandmother's house, but she is running a bit behind schedule. As she gets onto the highway, she knows that she must exit the highway within 46 if she is not going to arrive late. Her exit is 49 away. What is the slowest speed she could drive and still arrive on time? 1 solutions Answer 337079 by solver91311(16877)   on 2011-09-15 20:23:05 (Show Source): You can put this solution on YOUR website! 46 what? Hours? Minutes? Seconds? Days? Planck times? John My calculator said it, I believe it, that settles it

Points-lines-and-rays/498576: what is 5N= 35 1 solutions Answer 337077 by solver91311(16877)   on 2011-09-15 20:18:17 (Show Source): You can put this solution on YOUR website! It is a single-variable linear equation in N. It has a single real (in fact, rational) number solution that can be determined by a single multiplication operation. John My calculator said it, I believe it, that settles it

Linear-equations/498585: 2x+y=8 and y= -2x-4 are they parallel or perpendicular 1 solutions Answer 337076 by solver91311(16877)   on 2011-09-15 20:16:33 (Show Source): You can put this solution on YOUR website! Calculate the slope of each line (One of them you can tell simply by inspection). If the slopes are equal, but the constant terms are different, then the lines are parallel. If the slopes are equal AND the constant terms are equal, then they are the same line. If the slopes are negative reciprocals, then the lines are perpendicular. If neither, then the lines are neither parallel nor perpendicular. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/498581: The perimeter of a square is 12 meters. What is the length of a side of the square? 1 solutions Answer 337073 by solver91311(16877)   on 2011-09-15 20:11:07 (Show Source): You can put this solution on YOUR website! The measure of a side of a square is the perimeter divided by 4. John My calculator said it, I believe it, that settles it

Functions/498579: How do I find the difference quotient of the function. ( the formula for the difference quotient is f(x+h)-f(x)/h. 1 solutions Answer 337071 by solver91311(16877)   on 2011-09-15 20:09:37 (Show Source): You can put this solution on YOUR website! Might have been nice if you would have shared the function with us. Or did you expect us just to guess? John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/498558: 3. Choose the best response to describe the polynomial: 6x^3 – x^2 + 4x – 2 Which one? (A)It has a constant number 2. (B)It is a trinomial. C)It is of degree 3. (D) It has 6 terms. please help. This is my last problem please help!! 1 solutions Answer 337066 by solver91311(16877)   on 2011-09-15 19:53:43 (Show Source): You can put this solution on YOUR website! The constant is -2, the polynomial is degree 3, it is a 4-term polynomial. John My calculator said it, I believe it, that settles it

test/498559: How would you write two is subtracted from a number, and then the difference is divided by three. The result is thirty. 1 solutions Answer 337063 by solver91311(16877)   on 2011-09-15 19:48:57 (Show Source): You can put this solution on YOUR website! Let represent "a number" Then represents "2 is subtracted from a number" and also represents "the difference" Then represents "the difference divided by 3. Then represents "the result is 30" All together now, boys and girls: John My calculator said it, I believe it, that settles it

Parallelograms/498542: In the parallelogram ABCD, A is (6,3) and C is (4,-1). What are the coordinates of the point of intersection of the diagonals? 1 solutions Answer 337060 by solver91311(16877)   on 2011-09-15 19:42:55 (Show Source): You can put this solution on YOUR website! The diagonals of a parallelogram bisect each other. Hence, the point of intersection of the two diagonals is the midpoint of either. Use the midpoint formulas: and where and are the coordinates of the given points and will be the coordinates of the midpoint (and point of intersection in this case) John My calculator said it, I believe it, that settles it

Permutations/498536: How many distinct 5-digit numbers can be made using the digits 1,2,2,2,7? I know the answer, but I need to know how to get that answer. 1 solutions Answer 337057 by solver91311(16877)   on 2011-09-15 19:33:23 (Show Source): You can put this solution on YOUR website! If you had 5 different digits, then you would have 5! ways to arrange them and therefore 5! distinct 5 digit numbers. Since three of your digits are the same, 3! of your 5! 5 digit numbers are identical, so the calculation is: Do the arithmetic. John My calculator said it, I believe it, that settles it

Geometry_proofs/498507: in an indirect proof, when i have to write the statements and the reasons myself, does it matter what order its in? 1 solutions Answer 337055 by solver91311(16877)   on 2011-09-15 19:25:36 (Show Source): You can put this solution on YOUR website! In general the order of the steps matter. One step needs to follow logically from the other. Think about the problem of getting dressed in the morning: Step 1: put on your underwear. Step 2: put on your pants. Order matters. John My calculator said it, I believe it, that settles it

Signed-numbers/498520: i really need this in 2 days top!!!!!!!!!! anyways i'm not sure what catgory this goes under but i will still tell you the question: the square root of -100 the square root of 16/81 the square root of 4/25 the square root of 121/144 the square root of 0.16 THANK YOU THANK YOU THANK YOU!!!!! LUV YOU ALL!!!!!!!! :) 1 solutions Answer 337053 by solver91311(16877)   on 2011-09-15 19:18:47 (Show Source): You can put this solution on YOUR website! We don't do entire assignments here. One question per post. I'll give you a few facts to guide you though. 1. The square root of any negative number is the imaginary number times the square root of the positive of the number. That is to say, for , where is defined by 2. The square root of a quotient is equal to the quotient of the square root of the numerator and the square root of the denominator. That is to say: John My calculator said it, I believe it, that settles it

Travel_Word_Problems/498514: At what speed would I have to drive in order to travel 9 miles in 22.5 minutes? 1 solutions Answer 337052 by solver91311(16877)   on 2011-09-15 19:10:19 (Show Source): You can put this solution on YOUR website! 22.5 minutes is one-half of 45 minutes. 45 minutes is three-quarters of an hour, half of three-quarters is three-eighths, so 22.5 minutes is three-eighths of an hour. Divide 9 miles by 3/8 hour, which is to say multiply 9 by 8/3 to get miles per hour (remember invert and multiply?). The rest is up to you. John My calculator said it, I believe it, that settles it

absolute-value/498497: 1) What do I put if neither extraneous solutions work with the problem? 1 solutions Answer 337051 by solver91311(16877)   on 2011-09-15 19:04:46 (Show Source): You can put this solution on YOUR website! Are you saying that you have developed two potential solutions but neither of them are valid when you check them? There are four possibilities: 1. You made an error deriving the solutions that you have. 2. You made an error in checking the potential solutions. 3. There is another as yet undiscovered solution to the problem (If you are solving a quadratic and you found two potential solutions, then number 3 is NOT the problem). 4. The problem doesn't have a solution, which is to say that the solution set is the null set. Check for situations 1, 2, and 3 very carefully before reporting the null set as the solution set. John My calculator said it, I believe it, that settles it

Functions/498493: When F(x)= f(x+2) and you need to plug it into the equation f(x)=4x^2+5x-12. How do you solve it? 1 solutions Answer 337049 by solver91311(16877)   on 2011-09-15 18:53:45 (Show Source): You can put this solution on YOUR website! If , then Whatever is given between the parentheses in gets put in place of in the definition of . Then you get to simplify. John My calculator said it, I believe it, that settles it

test/498474: Si a +3 = b cual es el valor de ( a-b ) + ( b-a) 1 solutions Answer 337048 by solver91311(16877)   on 2011-09-15 18:43:02 (Show Source): You can put this solution on YOUR website! No importa lo que es igual a: para todos los valores reales de y , por lo tanto para todos los valores reales de y . Sorry about the Spanish, but I don't speak it. I used Google Translate. John My calculator said it, I believe it, that settles it

Trigonometry-basics/498467: what is the answer to this 63=9g 1 solutions Answer 337042 by solver91311(16877)   on 2011-09-15 18:23:25 (Show Source): You can put this solution on YOUR website! Divide both sides by 9. John My calculator said it, I believe it, that settles it

Linear-equations/498470: please I need help with this one question I need to graph this problem 3x-y=-9 and 3x+5y=-15 I need to show if it has no solution, one solution or many solutions. Thank you Eric 1 solutions Answer 337040 by solver91311(16877)   on 2011-09-15 18:18:45 (Show Source): You can put this solution on YOUR website! Start with either one of your equations. Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. Step 7. Repeat steps 1 through 6 using the other equation. The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (x,y), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations. If both lines graph to the same line, then the solution set is infinite, i.e. every ordered pair that satisfies one equation will satisfy the other. If the lines are parallel, then the solution set is empty. A consistent system has at least one solution. An inconsistent system has no solutions. An independent system has exactly one solution. A dependent system has infinitely many solutions. Therefore a system can be either consistent and independent, consistent and dependent, or inconsistent. John My calculator said it, I believe it, that settles it