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 Quadratic-relations-and-conic-sections/194808: i have to write the equation of the conic section in standard form and classify the conic section: 9y^2-x^2+2x+54y+62=01 solutions Answer 146141 by solver91311(16897)   on 2009-05-04 23:20:17 (Show Source): You can put this solution on YOUR website! This one is already in standard form. But notice that the signs on the two second degree terms are opposite. That means this is a hyperbola. John
 Miscellaneous_Word_Problems/194792: The sum of two numbers is -42. The first number minus the second number is 52. Find the numbers?1 solutions Answer 146140 by solver91311(16897)   on 2009-05-04 23:17:47 (Show Source): You can put this solution on YOUR website! Solve the system. Hint: Use the Elimination method. John
 Reduction-of-unit-multipliers/194807: It says perform the following unit conversions. 3 3/4yd.=____in. The only thing so far that I come up with is:15/4=3.75 I cannot figure out what to do next. Please help. Thanks, Kathy Price1 solutions Answer 146138 by solver91311(16897)   on 2009-05-04 23:15:53 (Show Source): You can put this solution on YOUR website! There are 36 inches in a yard. Since for the same distance, you are going to have a larger number of inches than yards, you should multiply: You can do your own arithmetic. John
 Miscellaneous_Word_Problems/194791: If a ball is tossed into the air from a height of 6 feet with a velocity of 32 feet per second, then its altitude at time t (in seconds) can be described by the function A(t)=-15t+32t+6. Find the altitude of the ball at 2 seconds1 solutions Answer 146136 by solver91311(16897)   on 2009-05-04 23:13:03 (Show Source): You can put this solution on YOUR website! I don't know where you got the altitude function that you stated, but it is incorrect (even if you are on a different planet - you still need to square the variable in the first term). What you want is: You need to find A(2): You can do your own arithmetic. John
 Equations/194793: This question is from textbook algebra 1/2 how do you find the latral surface?1 solutions Answer 146134 by solver91311(16897)   on 2009-05-04 23:07:52 (Show Source): You can put this solution on YOUR website! I think you meant lateral surface area. Trouble is, you don't specify the shape for which you want the lateral surface area. In general, in that lateral means "side," it is the surface area of the figure excluding the bases. John
 Miscellaneous_Word_Problems/194794: the perimeter of a lot is 190 m. the length os four times the width. find the length and the width?1 solutions Answer 146132 by solver91311(16897)   on 2009-05-04 23:04:28 (Show Source): You can put this solution on YOUR website! Let x represent the width. Then 4x represents the length. The perimeter of a rectangle is two times the width plus two times the length: Solve for x to get the width, multiply that by 4 to get the length. John
 Circles/194796: if the diameter of a circle is 16 centimeters.What is the radius1 solutions Answer 146130 by solver91311(16897)   on 2009-05-04 23:01:05 (Show Source): You can put this solution on YOUR website! The radius is always half of the diameter. John
 Trigonometry-basics/194801: I'm trying to plot points on a graph. the problem is y=3sec4x. I have all the points but one. I'm stuck at 5 pi/2. I have no idea how to find this on the unit circle. Explain plz?1 solutions Answer 146129 by solver91311(16897)   on 2009-05-04 22:59:03 (Show Source): You can put this solution on YOUR website! From the positive x-axis to the positive y-axis: , then from the positive y-axis to the negative x-axis another for a total of . Then one more quarter circle, . All the way back to the beginning: . Yep, is the same thing as . In fact, all angles of the form are the same angle John
 Inverses/194805: 8+(a+6)=(8+a)+61 solutions Answer 146126 by solver91311(16897)   on 2009-05-04 22:49:17 (Show Source): You can put this solution on YOUR website! Very interesting illustration of the Associative Property of Addition. Did you have a question about it? John
 Quadratic_Equations/194804: please help me solve this equation: -8n(10n-1)=0 please help me i'm stuck.1 solutions Answer 146124 by solver91311(16897)   on 2009-05-04 22:48:04 (Show Source): You can put this solution on YOUR website! Use the Zero Product Rule: If then or . So either which means that or which means that John
 Quadratic-relations-and-conic-sections/194803: (x+5)2= -(y-9)1 solutions Answer 146123 by solver91311(16897)   on 2009-05-04 22:45:19 (Show Source): You can put this solution on YOUR website! Is there a question in there somewhere? John
 Linear-equations/194799: i have two solution sets from two linear equations equation one: y=4(x)-1 The solution set is: (-2, -9) (0, -1) (2, 7) (5, 19) Equation 2: y=3(x)+5 The solution set is: (-2, 9) (0,15) (2, 21) (5, 30) As you can see I have already found the solution set; my problem is that once I graph it I can not get them to cross to show the solution point. Can you please help me?1 solutions Answer 146122 by solver91311(16897)   on 2009-05-04 22:44:01 (Show Source): You can put this solution on YOUR website! Since y is equal to two different things, why not set them equal to each other? Add -3x to both sides, add 1 to both sides: Then Point of intersection is (6, 23) John
 Circles/194798: __ AB is tangent to circle O at A(not drawn to scale) find the length of the radius r, to the nearest tenth.1 solutions Answer 146120 by solver91311(16897)   on 2009-05-04 22:28:57 (Show Source): You can put this solution on YOUR website!Not near enough information.
 Quadratic-relations-and-conic-sections/194756: Is this correct: What is the equation of a parabola with vertex (0,0) and focus (0,4)? If not where did I go wrong?1 solutions Answer 146106 by solver91311(16897)   on 2009-05-04 20:37:26 (Show Source): You can put this solution on YOUR website! You are spot on, except that I would have gotten rid of the zeros in the final form. John
 Polynomials-and-rational-expressions/194761: Please Rationalize the denominator and simplify √6/4√3+√2 1 solutions Answer 146103 by solver91311(16897)   on 2009-05-04 20:10:32 (Show Source): You can put this solution on YOUR website! Please use parentheses in the future so that we don't have to guess at what you meant. I presume you meant: Multiply by 1 in the form of the conjugate of the denominator divided by itself: John
 Quadratic_Equations/194736: Hello, I have been working on this problem for a while and can;t seem to come up with a reasonable solution. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water? D=R x T r=40/6 r-5=40/6 40/r-5 + 40/r+5=6 r^2-25(40/r-5) + r^-25(40/r+5=6 40r^2+1000/r^2-25 + 40r^2-1000/r^2-25=6 (r-5)(r+5) 40/r-5 and (r-5)(r+5) 40/r+5 after cancelling: 40r+5 +40r-5=6 80r=6 r=74 I know that this is not correct, but I can't figure out where I went wrong. Thanks, Dave1 solutions Answer 146101 by solver91311(16897)   on 2009-05-04 20:01:51 (Show Source): You can put this solution on YOUR website! You got off on the wrong foot from the git-go. You said , but that can't be true because 40 is the one-way distance and 6 hours is the total time for both directions. Not to mention that you then said and both of those statements cannot be simultaneously true. Let's begin anew. Let r represent the speed of the boat in still water. Then r - 5 is the speed of the boat upriver (against the current) and r + 5 is the speed downriver. Let t represent the amount of time it took to go upriver, then 6 - t is the time it took to go downriver. For the upriver trip: and for the downriver trip: Solving both equations for t we get: and Now that we have two things equal to t, we can set them equal to each other: LCD is , so: Expanding binomials, removing parentheses, collecting terms: Now, you can either multiply both sides by or realize that if you have two equal fractions with identical denominators, then the numerators have to be equal as well to write: Put in standard form: Fortunately, this little puppy factors rather neatly: Exclude the negative root because we are reasonably certain that the boat wasn't going backwards as a negative rate through the water would suggest, and the rate in still water is 15 mph. Check: A 40 mile upriver trip would take 40 divided by (15 - 5) = 4 hours. A 40 mile downriver trip would take 40 divided by (15 + 5) = 2 hours. Total time: 6 hours, answer checks. John
 Volume/194744: The figure is 4 cubes long, and 2 cubes wide, and three cubes high. what is the volume of the figure?1 solutions Answer 146097 by solver91311(16897)   on 2009-05-04 19:24:02 (Show Source): You can put this solution on YOUR website! John
 Polynomials-and-rational-expressions/194747: A square with sides of 50 feet.What is the shortest distance between two opposite vertices?1 solutions Answer 146096 by solver91311(16897)   on 2009-05-04 19:23:02 (Show Source): You can put this solution on YOUR website! Remember Pythagoras? John
 Quadratic-relations-and-conic-sections/194741: Identify the following conic. That is, circle, parabola, hyperbola or ellipse? x2 - 4y2 - 4x - 24y = 481 solutions Answer 146095 by solver91311(16897)   on 2009-05-04 19:19:53 (Show Source): You can put this solution on YOUR website! The high order terms have opposite signs, therefore it is a hyperbola. John
 Linear-equations/194710: the sum of the length and the width of a rectangular region is equal to 84 feet, whereas the corresponding positive difference is 19feet. Find the area of he enclosed rectangular region (use a 2-variable approach)1 solutions Answer 146089 by solver91311(16897)   on 2009-05-04 18:11:40 (Show Source): You can put this solution on YOUR website! Let x represent the length and let y represent the width, then: and Solve the system (all set up for the elimination method, just add the equations). Once you have the values for length and width, take the product to find the area. John
 logarithm/194725: log2(3x+1)=31 solutions Answer 146087 by solver91311(16897)   on 2009-05-04 18:06:31 (Show Source): You can put this solution on YOUR website! Remember that: So: John
 Linear-equations/194705: Graph the Linear equation 4x-5y=601 solutions Answer 146085 by solver91311(16897)   on 2009-05-04 18:02:32 (Show Source): You can put this solution on YOUR website! Step 1: Pick a value for x. Step 2: Substitute that value into the equation in place of x and then solve for y. Step 3: Create an ordered pair from the value you selected in step 1 and the value you calculated in step 2. Plot that point on your graph. Step 4: Repeat steps 1 through 3 using a different value for x. Step 5: Draw a line across your graph connecting the two plotted points. Done. John
 Rational-functions/194724: This question is from textbook prentice hall mathematics 9(x+2)(2x-1)and3(x+2)1 solutions Answer 146083 by solver91311(16897)   on 2009-05-04 17:58:50 (Show Source): You can put this solution on YOUR website! Was there a question there somewhere? John
 Miscellaneous_Word_Problems/194704: Sally and Tom are good friends. Sally is 7 years older than Tom. Next year she will be twice as old as him. How old are Sally and Tom right now? 1 solutions Answer 146082 by solver91311(16897)   on 2009-05-04 17:57:48 (Show Source): You can put this solution on YOUR website! So Extra credit: How old would they be if they were NOT good friends? John
 Quadratic_Equations/194712: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. And then rank them fastest to slowest using the problem numbers. f(x) = 2x – 5 f(x) = x2 - 4x + 3 f(x) = x3 + 4x2 - 2x - 3 f(x) = 7x f(x) = log x1 solutions Answer 146081 by solver91311(16897)   on 2009-05-04 17:51:18 (Show Source): You can put this solution on YOUR website! Just substitute the given numbers for x and do the arithmetic. I hope you didn't expect someone to do these 25 calculations for you. John
 Probability-and-statistics/194718: If there is 28 movies and 12 of those are westerns and 16 are sci-fi what is the probability of picking 3 sci fi.1 solutions Answer 146080 by solver91311(16897)   on 2009-05-04 17:48:59 (Show Source): You can put this solution on YOUR website! It depends on whether or not you replace the one you selected each time. John
 Polynomials-and-rational-expressions/194715: 2x^2 + 5x - 6 = 0 how do you do the step by step factorising? thanks!1 solutions Answer 146079 by solver91311(16897)   on 2009-05-04 17:47:41 (Show Source): You can put this solution on YOUR website! In a word, you don't. This quadratic trinomial does not factor over the integers. How do I know? Square the coefficient on the first degree term -- 5 squared is 25. Multiply -4 times the coefficient on the high order term times the constant, -4 times 2 times -6 is 48. Combine that with the previous result, 25 plus 48 = 73. 73 is NOT a perfect square, so the polynomial doesn't factor over the integers. John
 Quadratic-relations-and-conic-sections/194702: This question is from textbook Can you please help me with this problem? The directions say to find the real solutions of each system. WE are using either the elimaniton method or the substitution method 1 solutions Answer 146076 by solver91311(16897)   on 2009-05-04 17:28:39 (Show Source): You can put this solution on YOUR website! Either method works, but the substitution method is computationally more challenging, so let's use elimination. Rearrange the first equation: Now add that to the second equation: So, or But so or which has no real solutions. Hence, the two real solutions are the ordered pairs: and Graphically: John
 Circles/194701: Find the missing coordinate of the center of the circle with the given characteristics. The center is (1,b), the radius is 3, and a point on the circle is (-2,0). 1 solutions Answer 146075 by solver91311(16897)   on 2009-05-04 17:00:20 (Show Source): You can put this solution on YOUR website! Any point on a circle is equidistant from the center, and that distance is equal to the radius of the circle. That means the distance from (1,b) to (-2,0) must be equal to 3. Using the distance formula: Plugging in the values: Square both sides: John
 Points-lines-and-rays/194691: I need help in explaining this to my 5th grade daughter. Please illustrate the following for me: A 3-D right prism shape has these dimensions: H=6 cm, L=3 cm, and W=4 cm. 1) What is the perimeter if we know all 3 dimensions? 2) Is it possible to solve: H= 6 cm and W = 4cm, but L=x? How do I solve for “x”? 3) Is it possible to solve: H=6 cm, L= 3 cm, but W=x? How do I solve for “x”? I appreciate any help I can as soon as possible! Thanks.1 solutions Answer 146074 by solver91311(16897)   on 2009-05-04 16:53:44 (Show Source): You can put this solution on YOUR website! The best illustration I can give you for a right rectangular prism is to have you go get a cereal box out of your pantry. Of course, you would have to change the dimensions, but the shape is the same -- actually the size described here is closer to one of those little boxes they serve juice in nowadays. However, I have a feeling that you aren't telling the whole story here. What you are asking doesn't make much sense. Perimeter is a measure of the distance around a plane figure, and doesn't have any meaning in relation to a solid figure -- unless you are talking about the perimeter of one of the faces of your prism. http://www.eduplace.com/math/mw/background/4/10/te_4_10_overview.html has a good 4th grade lesson on perimeter, area, surface area, and volume. Take a look and if you still have questions, write me a note and I'll see what I can do for you. John
 Trigonometry-basics/194692: What is the double angle formula derived from the sine and cosine subtraction formulas?1 solutions Answer 146069 by solver91311(16897)   on 2009-05-04 16:30:51 (Show Source): You can put this solution on YOUR website! Sum and difference formulae: So: And: John