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Coordinate-system/626399: what is the x intercept of x-2y=0 1 solutions Answer 394138 by solver91311(16897)   on 2012-07-07 02:47:29 (Show Source): You can put this solution on YOUR website! Trying to game the system by submitting the same question several times gets you nowhere. Repost once only. John My calculator said it, I believe it, that settles it

Geometry_proofs/626389: complete the following proof related to the figure below. the figure is a triangle with a line down the middle, the top is labeled T, angle on the right is S, angle on the left is R and the bottom of the segment that goes through the middle is labeled Q. Given: segment TQ bisects angles RTS, angle R=angles S Prove: segment TQ is perpendicular segment RS 1 solutions Answer 394137 by solver91311(16897)   on 2012-07-07 02:46:17 (Show Source): You can put this solution on YOUR website! The sum of the measures of the internal angles of all triangles is 180, so since mRTQ = mSTQ (defn bisector) and mR = mS (given), mRQT = mSQT (set up an equation and use Transitive Equality. But RQS is a straight angle and mRQS = mRQT + mSQT. The defn of a straight angle and a little algebra says that mRQT = mSQT = 90 degrees. Hence TQ RS by defn perpendicular. John My calculator said it, I believe it, that settles it

Volume/626398: Hi, My husband needs to build a fuel/chemical tank for work out of a cylinder pipe. It needs to hold 15 gallons but he isn't sure what length and diameter the pipe needs to be (in inches/feet) to achieve his goal. I am stumped on how to even find an equation for something such as this. ANY help would be greatly appreciated!! Thank you! 1 solutions Answer 394136 by solver91311(16897)   on 2012-07-07 02:32:43 (Show Source): You can put this solution on YOUR website! 15 gallons is equivalent to 3465 cubic inches (Google "15 gallons in cubic inches" if you want to check for yourself) The number of cubic inches in a cylinder is given by: Theoretically, there are infinite solutions to the equation: But from a practical, real-world point of view, pipe comes in standard size diameters. So he needs to pick a diameter that he wants to use. Then he needs to follow the following steps: 1. Make sure he measures the inside diameter (ID) of the pipe. 2. Divide the pipe ID by 2 to get the radius. 3. Square the radius. 4. Multiply the squared radius by an appropriate approximation of . 3.14 should do nicely. 5. Divide 3465 by the result of step 4 and round to whatever precision makes him happy and that is the length of the pipe of the chosen diameter that he needs. For example, let's say that he decides to use a 10" ID pipe. Half of 10 is 5. 5 squared is 25. 25 times 3.14 is 78.5. 3465 divided by 78.5 is approximately 44.14, or roughly 44 11/16 inches which is the length of 10" ID pipe he needs. 20 inch diameter pipe is 1/4 of that length. And so on... John My calculator said it, I believe it, that settles it

Quadratic_Equations/626391: Give exact and approximate solutions to three decimal places y^2-20y+100=16 What are the exact solutions? y=? (Type an exact answer as needed) (Rationalize all denominators) (express complex numbers in terms of I) (use a comma to separate answers as needed) There are no approximate solutions since the solutions are integers Does this mean that: 1)y^2 is the ^2 of y 2)+100=10^2 3)ignoring the sign (-) on -20, the product of square roots of 1st and 3rd term = 2*y*10 (20y) 4)y = (y-10)^2=16 y-10= ±4 y = 10 ±5 Am I doing this right? 1 solutions Answer 394134 by solver91311(16897)   on 2012-07-07 02:05:47 (Show Source): You can put this solution on YOUR website! Don't try to do anything until your equation is in standard form, which is to say all of it in the LHS and the RHS is zero. In other words, it needs to look like: So, in your case, add -16 to both sides: Now you can factor and use the Zero Product Rule. Note -6 times -14 is 84 and -6 plus -14 is -20. John My calculator said it, I believe it, that settles it

Percentage-and-ratio-word-problems/626319: if a company ownership is divided in the ratio of 3:2:1 what is the percentage of each ownership? Three owners I thought it would be 50%,33%,17% but I am not sure that it shouldn't be 50,30,20 1 solutions Answer 394104 by solver91311(16897)   on 2012-07-06 18:03:34 (Show Source): You can put this solution on YOUR website! Since the ownership is in the ratio 3:2:1, there are 3 + 2 + 1 = 6 shares and one guy has 3 out of 6 or 50%, the next has 2 out of 6 or 1/3, which is approximately 33%, and the last has 1 out of 6, or 1/6, which is slightly less than 17%. Notice that 50% is roughly 3 times 17% and 33 percent is roughly 2 times 17%. But if your 50 30 20 were correct, then three times 20 would equal 50 and two times 20 would equal 30. Not even close. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/626175: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=3x^2-12x+3 1. What is the vertex 2. What is the equation of the line of symmetry 3. What is the maximum/minimum of F(x) 4. Is the value, f(x)= -9 a minimum or a maximum? Please graph. Thank you very much up front. 1 solutions Answer 394019 by solver91311(16897)   on 2012-07-06 01:27:02 (Show Source): You can put this solution on YOUR website! The vertex of the parabola defined by is the point where and . The equation of the axis of symmetry is The maximum or minimum of is . If the lead coefficient is positive, i.e. , then the parabola opens upward and the vertex is a minimum. If the lead coefficient is negative, i.e. , the parabola opens downward and the vertex is a maximum. Graph: Plot the vertex. Plot the point which is the -intercept. Then by symmetry, is also on the graph. Set the function equal to zero and solve for the two roots and (use the quadratic formula or complete the square since your example doesn't factor). Plot the two points, and . That gives you 5 points through which you can draw a smooth curve. If you want more points, pick a convenient distance from the vertex. Then calculate the value of the function , then plot the point . Then, by symmetry you can also plot . You can repeat this process with as many different values of as you like. John My calculator said it, I believe it, that settles it

Permutations/626170: A class is working on finding patterns among the counting numbers. A student noticed an interesting pattern. She said that if you take 3 consecutive counting numbers (e.g. 7,8&9) and square the middle number (8 squared) then the resulting number (64) is one larger than the product of the two other numbers (i.e 64 is one greater that 7 x 9 = 63). Is this true for all sets of three consecutive numbers? 1 solutions Answer 394015 by solver91311(16897)   on 2012-07-06 00:38:39 (Show Source): You can put this solution on YOUR website! Let represent the middle number of any given set of three consecutive positive integers. Then the smaller number of the three is and the larger is . The square of the middle number is and the product of the smaller and the larger is . Note, this is true for all integers, not just the positive integers (what you are calling the "counting numbers") John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/626174: a^2+q^2=e^2, for a. Choose the correct value for a. 1. The solution is a=e^2-q^2 2. The solution is a= -√e^2-q^2 3. The solution is a=√e^2-q^2 4. The solution is not given 1 solutions Answer 394014 by solver91311(16897)   on 2012-07-06 00:23:57 (Show Source): You can put this solution on YOUR website! The solution is John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/626179: Determine the nature of the solutions of the equation. y^2=1/4y + 5/3 Pick one of the following: A. The equation has two non-real solutions B. The equation has two real solutions C. The equation has one real solution. 1 solutions Answer 394013 by solver91311(16897)   on 2012-07-06 00:15:40 (Show Source): You can put this solution on YOUR website! If you put this equation into standard form you will notice that the signs on the lead coefficient and the constant term are opposite. This situation guarantees two non-equal real solutions. John My calculator said it, I believe it, that settles it

Linear-equations/626181: m= -2 and(-2,-2) answer and why 1 solutions Answer 394012 by solver91311(16897)   on 2012-07-06 00:13:02 (Show Source): You can put this solution on YOUR website! Ask the entire question. Tell what part is giving you difficulty. Show the work you have done so far. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/626180: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form. ax^2 +bx +c=0 The solution is ____=0 1 solutions Answer 394011 by solver91311(16897)   on 2012-07-06 00:11:35 (Show Source): You can put this solution on YOUR website! What given numbers? Please use your head for something besides a hat rack when you post here. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/625783: what is 3 square root of 32 + 2 square root of 50 1 solutions Answer 393788 by solver91311(16897)   on 2012-07-04 00:19:11 (Show Source): You can put this solution on YOUR website! Hint: Each of 32 and 50 are 2 times a perfect square. John My calculator said it, I believe it, that settles it

Problems-with-consecutive-odd-even-integers/625788: Given A = {2, 4, 6}. B = {1, 3, 5}, and C = {1, 2, 3, 4, 5, 6, 7} Evaluate each set: A). A ∩ B B). A ᴜ C C). B ᴜ C D). (A ᴜ B) ∩ C E). A ᴜ ( B ᴜ C ) F). ( A ∩ B ) ∩ C G). ( A ∩ B) ᴜ C 1 solutions Answer 393787 by solver91311(16897)   on 2012-07-04 00:16:27 (Show Source): You can put this solution on YOUR website! A). A ∩ B. Means the intersection of set A and set B which is the set of all elements that are in both A and B. Since none of the elements of A are in B (and vice versa, of course), there are no elements in the set A ∩ B. Therefore A ∩ B = John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/625793: find the smallest two-digit number that has 9 as one of its digits. 1 solutions Answer 393785 by solver91311(16897)   on 2012-07-04 00:09:12 (Show Source): You can put this solution on YOUR website! Do you think that posting the same question twice makes it more likely that you will get an answer? John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/625794: find the smallest two-digit number that has 9 as one of its digits. 1 solutions Answer 393784 by solver91311(16897)   on 2012-07-04 00:08:55 (Show Source): You can put this solution on YOUR website! Do you think that posting the same question twice makes it more likely that you will get an answer? John My calculator said it, I believe it, that settles it

Linear-equations/625708: Write an equation representing a line which is perpendicular to 2x-3y=-9 1 solutions Answer 393749 by solver91311(16897)   on 2012-07-03 18:07:08 (Show Source): You can put this solution on YOUR website! Step 1: Compute the slope of the given line. Since both variables are on the same side of the equals sign, divide the opposite of the coefficient on by the coefficient on . Step 2: Perpendicular lines have negative reciprocal slopes. Take the negative reciprocal of the slope you just calculated to determine the slope of the desired line. Use the slope-intercept form of an equation of a line, . Replace the slope, , with the number you calculated in step 2. If you want a single example of an equation of a line perpendicular to the given line, pick a value for and substitute it. Otherwise, leave as it is and you will have a representation of the family of equations of ALL lines perpendicular to the graph of the given equation. John My calculator said it, I believe it, that settles it

Expressions-with-variables/625721: Write an algebraic expression to answer the question below. A board is cut into two pieces. One piece has a length of 47 inches. If the other piece has a length of v inches, what was the total length of the board, in inches, before it was cut? 1 solutions Answer 393746 by solver91311(16897)   on 2012-07-03 17:59:19 (Show Source): You can put this solution on YOUR website! inches where is the measure of the saw kerf in inches. John My calculator said it, I believe it, that settles it

Surface-area/625727: Cost of Saxony Carpeting The cost of DuPont Stainmaster Saxony carpeting is $5.56 per square foot. This price includes the cost of installation. Determine the cost for Nancy to have this carpeting installed in all three bedrooms. Bedroom one- 10'X20' and is a rectangle Bedroom two- 10'X14' and is a square Bedroom three- 10'X14' and is a square So what I did was take L*W for each then multiplied my answer by $5.56. Is that correct? For example in bed room one I took 10*20=200*5.56=1112 Please help! 1 solutions Answer 393744 by solver91311(16897)   on 2012-07-03 17:56:39 (Show Source): You can put this solution on YOUR website! Exactly correct, though you should report your answer to the first one as $1112 (dollars rather than just a number). Also, the other two bedrooms are not squares. You can't have a square that has a length different than the width. Be that as it may, the area formula "length times width" applies to all three. John My calculator said it, I believe it, that settles it

Triangles/625736: Which of the following is the closest approximation of the perimeter of triangle PQR given P(4, 5), Q(-4, 2), and R(10, 13)? a.37.38 b.36.35 c.22.14 d.30 *HELP NEEDEDDDD!!!!******* ♥Thanks! 1 solutions Answer 393739 by solver91311(16897)   on 2012-07-03 17:42:40 (Show Source): You can put this solution on YOUR website! Use the distance formula three times to determine the measure of each side, then total them. The distance between two points in is given by where and are the coordinates of the given segment end points. John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/625738: I keep getting different answers so I thought I would ask this again. Find the volume of a cone, in terms of pi, with a radius of 3 inches and a height of 6 inches. If the radius of the cone is doubled while the height remains constant, what is the volume of the cone? What happens to the volume of a cone if it’s radius is doubled? 1 solutions Answer 393738 by solver91311(16897)   on 2012-07-03 17:39:28 (Show Source): You can put this solution on YOUR website! The volume of a cone as a function of its radius and height is given by: So if you double the radius, then the radius of the new, larger cone is , so A little algebra music, Sammy: Divide the volume of the large cone by the volume of the smaller one: John My calculator said it, I believe it, that settles it

Radicals/625739: Find the domain of the function g(x) = cuberoot of 3x-15. I know if you have f(x)= , you do 30-5x >= 0, and solve from there, but I don't know how to do it if there is a cube root. 1 solutions Answer 393737 by solver91311(16897)   on 2012-07-03 17:29:40 (Show Source): You can put this solution on YOUR website! The domain of the cube root function (and any odd numbered integer root for that matter) is all real numbers. It is only when you are taking even numbered roots, square, 4th, 6th, etc. that you have to restrict the radicand to non-negative numbers. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/625669: Find an equation of the tangent line to the graph at the given point. 7x^2-6(sq3)xy+13y^2-16=0. (sq3,1) 1 solutions Answer 393726 by solver91311(16897)   on 2012-07-03 16:07:44 (Show Source): You can put this solution on YOUR website! Differentiate the equation implicitly: Use the Chain Rule and the Product Rule: Now take out a common factor of 2 and then solve for Do not succumb to the temptation to rationalize your denominator at this point. We have an expression for the tangent to your ellipse at any point, all that is needed now is to evaluate this expression at the given point. Substitute the coordinates of the given point for and in the expression for and do the arithmetic. John My calculator said it, I believe it, that settles it

Equations/625691: Enclose in parentheses the expressions you need to do first.Then evaluate each expression. 1. 15+30divide6+8=______ 2. 20-9+7X3=______ 3. ___=5X9-5+3 4. ____=42divide6X7+3 5.48divide6-4X2+35=____ 1 solutions Answer 393710 by solver91311(16897)   on 2012-07-03 14:21:54 (Show Source): You can put this solution on YOUR website! You can do the arithmetic yourself. John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/625667: What is the volume of a sphere, whose radius is 6 meters. Leave answer in terms of pi. 1 solutions Answer 393709 by solver91311(16897)   on 2012-07-03 14:19:09 (Show Source): You can put this solution on YOUR website! The volume of a sphere as a function of the radius is given by Substitute 6 for and do the arithmetic. John My calculator said it, I believe it, that settles it

Graphs/625671: Please Help!! Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale). tickets = -0.3x^2+6x+22 a. Does the graph of this equation open up or down? How did you determine this? b. Describe what happens to the tickets sales as time passes. c.Use the quadratic equation to determine the last day that tickets will be sold. Note. Write your answer in terms of the number of days after ticket sales begin. d. Will tickets peak or be at a low during the middle of the sale? How do you know? e. After how many days will the peak or low occur? f. How many tickets will be sold on the day when the peak or low occurs? g. What is the point of the vertex? How does this number relate to your answers in parts e. and f? h. How many solutions are there to the equation? How do you know? i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense? 1 solutions Answer 393708 by solver91311(16897)   on 2012-07-03 14:16:47 (Show Source): You can put this solution on YOUR website! Already did this one today. John My calculator said it, I believe it, that settles it

Rational-functions/625688: Represent the interval using inequality notation [-2,3] (-2,3) 1 solutions Answer 393707 by solver91311(16897)   on 2012-07-03 14:15:09 (Show Source): You can put this solution on YOUR website! The other one is the same except you use instead of John My calculator said it, I believe it, that settles it

Coordinate-system/625686: please help me with this question it says i have to solve the system below graphically and indicate the method i use to plot the lines and show my work.... a. y=2x 2x+y=4 b. check by substituting the answer back into the orginal equations. thank you... 1 solutions Answer 393706 by solver91311(16897)   on 2012-07-03 14:13:22 (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. To check, take the -coordinate of your solution point and substitute for in either one of your equations, then take the -coordinate of your solution point and substitute for in that same equation. Do the arithmetic. If the result is a true statement, then the point is a solution of that equation. Repeat the process with the other equation. If the point is a solution of BOTH equations, then it is a solution of the system of equations. John My calculator said it, I believe it, that settles it

Triangles/625641: Find the measure of the interior angles to the nearest tenth (3x+2) (4x+2) (x-1) degree sign after each one 1 solutions Answer 393704 by solver91311(16897)   on 2012-07-03 14:07:43 (Show Source): You can put this solution on YOUR website! You might have taken the time to share that these expressions represent the interior angles of a triangle. We shouldn't have to waste our time trying to figure out what you want or need. The sum of the measures of the interior angles of any triangle is . Add the three expressions and set the sum equal to 180. Solve for , then calculate , , and . Don't round until you do the final three calculations. John My calculator said it, I believe it, that settles it

Probability-and-statistics/625665: 10. Match the proposed probability of A with the appropriate verbal description. ( ) Very likely to happen ( ) As much chance of occurring as not ( ) No chance of happening ( ) An incorrect assignment 1 solutions Answer 393702 by solver91311(16897)   on 2012-07-03 13:58:34 (Show Source): You can put this solution on YOUR website! So are we supposed to smell what the probability of A is? Please use your head for something besides a hat rack when you post your problems here. Otherwise you are just wasting everyone's time. John My calculator said it, I believe it, that settles it

Linear-equations/625684: Enter the ordered pair that is the solution to the system of equations graphed below y=4x+11 y=-2x-1 1 solutions Answer 393699 by solver91311(16897)   on 2012-07-03 13:13:44 (Show Source): You can put this solution on YOUR website! Set the two Right Hand Sides equal to each other (which you can do because y = y), then solve for x. Once you have a value for x, substitute that value into either of the original equations and solve the resulting single variable equation for y. Report the solution as the ordered pair (x,y), using the calculated values, of course. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/625676: A house was sold for $2 850 000. The house is 20 m by 15 m.? What was the price per metres square? 1 solutions Answer 393697 by solver91311(16897)   on 2012-07-03 13:11:30 (Show Source): You can put this solution on YOUR website! Multiply the length times the width to get the area of the house. Divide the price of the house by the area you just calculated. John My calculator said it, I believe it, that settles it