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 Distributive-associative-commutative-properties/730015: 2a(a – 5) + 4(a – 5)1 solutions Answer 446343 by Alan3354(34674)   on 2013-03-24 17:06:55 (Show Source): You can put this solution on YOUR website!2a(a – 5) + 4(a – 5) ----------------- Do you have a question?
 Travel_Word_Problems/730012: A tugboat goes 160 miles per hour in 10 hours. the return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. The speedof the tugboat is __ mph, and the speed of the current is __. Please show the work so I can impliment it with further questions.1 solutions Answer 446342 by Alan3354(34674)   on 2013-03-24 17:05:25 (Show Source): You can put this solution on YOUR website!A tugboat goes 160 miles per hour in 10 hours. the return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. The speedof the tugboat is __ mph, and the speed of the current is __. Please show the work so I can impliment it with further questions. ======================= Find the speed up & downstream d = r*t r = d/t --- The boat's speed is the average of the 2 speeds. ================= The current is the difference between the boat's speed and either speed. =============== PS Don't enter "The speedof the tugboat is __ mph, and the speed of the current is __."
 Permutations/730009: There are 40 dogs entered in a dog show. How many ways can a first place and a second place ribbon be awarded?1 solutions Answer 446341 by Alan3354(34674)   on 2013-03-24 16:59:33 (Show Source): You can put this solution on YOUR website!There are 40 dogs entered in a dog show. How many ways can a first place and a second place ribbon be awarded? ----------- 40*39 = 1560
 Volume/729951: what is volume of abox length7m the width 3m depth 9m1 solutions Answer 446334 by Alan3354(34674)   on 2013-03-24 16:39:15 (Show Source): You can put this solution on YOUR website!what is volume of abox length7m the width 3m depth 9m ----------- It's the product of the dimensions. Vol = L*W*H
 Numeric_Fractions/729975: Please help with this problem Find unit digit of 21^3*21^2*34^7x46^8*77^81 solutions Answer 446330 by Alan3354(34674)   on 2013-03-24 16:31:45 (Show Source): You can put this solution on YOUR website!Find unit digit of 21^3*21^2*34^7x46^8*77^8 If the x means multiply: Find unit digit of 21^3*21^2*34^7*46^8*77^8 --> 1*1*4*6*1 = 4
 Age_Word_Problems/729994: How many ounces is a textbook that weighs 1.75 pounds?1 solutions Answer 446329 by Alan3354(34674)   on 2013-03-24 16:29:53 (Show Source): You can put this solution on YOUR website!How many ounces is a textbook that weighs 1.75 pounds? ---------- 1 pound = 16 ounces
 Length-and-distance/729966: find the distance between the pair of parallel lines y=x-6 and y=x+8 1 solutions Answer 446327 by Alan3354(34674)   on 2013-03-24 16:28:45 (Show Source): You can put this solution on YOUR website!find the distance between the pair of parallel lines y=x-6 and y=x+8 ----------------- The slope is the lines = 1 --> angles with the axes are 45 degs --> a right triangle with 45, 45, 90 degs The hypotenuse is the distance between the y-intercepts = 14 Side length = distance between the lines =
 Linear-systems/729991: Im getting stuck on this system of equation by subtitution: Exercise xy=-12 x-2y+14=01 solutions Answer 446324 by Alan3354(34674)   on 2013-03-24 16:24:11 (Show Source): You can put this solution on YOUR website!xy=-12 x-2y+14=0 --> x = 2y-14 ------ xy = -12 (2y-14)*y = -12 etc
 Quadratic_Equations/729978: Hello, I need help solving this equation please. It is supposed to be written in quadratic form, but I do not know how to write it out either. 1 solutions Answer 446318 by Alan3354(34674)   on 2013-03-24 16:14:55 (Show Source): You can put this solution on YOUR website! a = 0, 0, 0 --------------- Solve by factoring a = -5, -1
 Square-cubic-other-roots/729847: square root of 83 +9(9 is n0t under the square root divided by the square root of 83 -9(-9 is not under the square root1 solutions Answer 446277 by Alan3354(34674)   on 2013-03-24 11:15:30 (Show Source): You can put this solution on YOUR website!square root of 83 +9(9 is n0t under the square root divided by the square root of 83 -9(-9 is not under the square root ----------- (sqrt(83) + 9)/(sqrt(83) - 9) Enter it like that You didn't say what you want to do.
 Trigonometry-basics/729868: Using equation : h(t)=40sin(5π/4 t - π/2)+55 Describe the transformation(s) to y = sint required to produce the graph of y = h(t). Sketch the graph of y = h(t) for one cycle.1 solutions Answer 446276 by Alan3354(34674)   on 2013-03-24 11:12:07 (Show Source): You can put this solution on YOUR website!Using equation : h(t)=40sin(5π/4 t - π/2)+55 Describe the transformation(s) to y = sint required to produce the graph of y = h(t). --------------- The amplitude is 40 It's shifted up by the +55 The period = 2pi*(4/5pi) = 1.6 seconds It's phase shifted right by (pi/2)*(4/5pi)
 Trigonometry-basics/729861: Describe the transformation(s) to y = sint required to produce the graph of y = h(t). Sketch the graph of y = h(t) for one cycle.1 solutions Answer 446270 by Alan3354(34674)   on 2013-03-24 10:03:21 (Show Source): You can put this solution on YOUR website!h(t) is not defined
 logarithm/729842: log ^ 3 (y+2) = log ^ 3 (y-7) + log ^3 41 solutions Answer 446269 by Alan3354(34674)   on 2013-03-24 09:59:55 (Show Source): You can put this solution on YOUR website!log ^ 3 (y+2) = log ^ 3 (y-7) + log ^3 4 ----------------- Confirm that you mean the cube of the logs.
 Linear-equations/729854: Please help me with the follwing problem: Use substitution to solve the linear system. Decide if the system is consistent or inconsistent. If the system is consistent, decide if it is dependent or independent. Explain your answer using words, symbols, or both. x+4y=-1 2x-y=7 also; 3x-y=15 6x-2y=2 Thank you!1 solutions Answer 446268 by Alan3354(34674)   on 2013-03-24 09:57:38 (Show Source): You can put this solution on YOUR website!Use substitution to solve the linear system. Decide if the system is consistent or inconsistent. If the system is consistent, decide if it is dependent or independent. Explain your answer using words, symbols, or both. x+4y=-1 2x-y=7 --> y = 2x-7 Sub for y in the 1st equation x + 4(2x-7) = -1 You can finish it. ============= also; 3x-y=15 6x-2y=2 ==> 3x-y=1 ------- 3x-y = 15 and = 1 --> inconsistent. If you graph them they're parallel lines. No intersection, no solution.
 Trigonometry-basics/729848: The equation h(t)=40sin(5π/4 t - π/2)+55 describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds. (a) Use the equation to determine the: (i) length of the string. (ii) smallest distance between the yo-yo and the ground. (iii) the time taken to complete one swing.1 solutions Answer 446267 by Alan3354(34674)   on 2013-03-24 09:21:23 (Show Source): You can put this solution on YOUR website!The equation h(t)=40sin(5π/4 t - π/2)+55 describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds. (a) Use the equation to determine the: (i) length of the string. = 2* the amplitude = 80 cm ------------------ (ii) smallest distance between the yo-yo and the ground. 55 - 40 = 15 cm ------------------ (iii) the time taken to complete one swing. = 2pi*(4/5pi) = 1.6 seconds
Equations/729845: how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph.
my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.
1 solutions

Answer 446266 by Alan3354(34674)   on 2013-03-24 09:10:49 (Show Source):
You can put this solution on YOUR website!
how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph.
my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.
------------
You can complete the square, or use the quadratic equation.
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 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=52 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 5.60555127546399, -1.60555127546399. Here's your graph:

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The on site solver doesn't reduce the terms, your answers are correct.

 Polynomials-and-rational-expressions/729840: How do you factor 49x^2-14xy-24y^21 solutions Answer 446265 by Alan3354(34674)   on 2013-03-24 09:06:11 (Show Source): You can put this solution on YOUR website!How do you factor 49x^2-14xy-24y^2 -------------- There are 2 pairs of factors for 49, 1*49 and 7*7 It'll be either (x + ay)*(49x + by) or (7x + ay)*(7x + by) ------------------- a & b are factors of 24 The signs are different since it's -24 ----- The possibilities are 1*24 2*12 3*8 4*6 Find the combination that works.
 Equations/729844: a table for y=x^2-49 is given. Need to solve each equation for inequality. a) x^2-49=0 b)x^2-49<0 c)x^2-49>0 table x -8 -7 -5 0 5 7 8 y 15 0 -24 -49 -24 0 15 I thank you so much in advance. 1 solutions Answer 446264 by Alan3354(34674)   on 2013-03-24 09:02:52 (Show Source): You can put this solution on YOUR website!a table for y=x^2-49 is given. Need to solve each equation for inequality. a) x^2-49=0 b)x^2-49<0 c)x^2-49>0 table x -8 -7 -5 0 5 7 8 y 15 0 -24 -49 -24 0 15 -------------- What do you want to do?
 Trigonometry-basics/729846: The equation ( ) 40sin 5 55 4 2 h t = ⎛⎜ π t −π ⎞⎟ + ⎝ ⎠ describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds. (a) Use the equation to determine the length of the string.1 solutions Answer 446263 by Alan3354(34674)   on 2013-03-24 09:00:55 (Show Source): You can put this solution on YOUR website!The equation ( ) 40sin 5 55 4 2 h t = ⎛⎜ π t −π ⎞⎟ + ⎝ ⎠ describes the height, H in cm, that the centre of a yo-yo is above the ground, during standard motion, as a time in seconds. (a) Use the equation to determine the length of the string. ---------------- What equation?
 Probability-and-statistics/729770: helping daughter with homework and 2 problems of probability I don't understand or where to start. 1 a rectangle has a perimeter of 4 inches. if the sides of the rectangle are whole numbers of inches, how many different combinations of measures are possible? 2 How many different ways are there to add prime numbers to make a sum of 10? 1 solutions Answer 446226 by Alan3354(34674)   on 2013-03-23 21:56:53 (Show Source): You can put this solution on YOUR website!1 a rectangle has a perimeter of 4 inches. if the sides of the rectangle are whole numbers of inches, how many different combinations of measures are possible? Only 1 + 1 + 1 + 1 fits --------------------------- 2 How many different ways are there to add prime numbers to make a sum of 10? 3 + 7 5 + 5
 Inequalities/729750: daughter is doing inequalities and has a problem. -8d > -56. My answer was d > 7. She came up with d < 7. Which is correct? Do you ever change the inequality sign because you use - numbers in multiplication and division?1 solutions Answer 446201 by Alan3354(34674)   on 2013-03-23 20:15:21 (Show Source): You can put this solution on YOUR website!daughter is doing inequalities and has a problem. -8d > -56. My answer was d > 7. She came up with d < 7. Which is correct? Do you ever change the inequality sign because you use - numbers in multiplication and division? ----------- When you mulitply or divide by a negative, the polarity changes. -8d > -56 -d > -7 Add d 0 > d - 7 Add 7 7 > d or d < 7
 Polynomials-and-rational-expressions/729698: if -6 -11 what the smalest possible value of xy 1 solutions Answer 446199 by Alan3354(34674)   on 2013-03-23 19:42:22 (Show Source): You can put this solution on YOUR website!if -6 < x < 2 and -11 < y < 19 ========= -114
 Exponents-negative-and-fractional/729748: there are 2. got them wrong on a test and cant come up with the teachers answer 1) solve for X: a/bx-c=0 . I get x=cb/a 2) subtract: 3x+1/x2(squared)-9 minus 2x-2/x2(squared -9. my answer x-1/x2(squared -91 solutions Answer 446197 by Alan3354(34674)   on 2013-03-23 19:31:11 (Show Source): You can put this solution on YOUR website!1) solve for X: a/bx-c=0 . I get x=cb/a Is it (a/b)x ? Or a/(bx) ? 2) subtract: 3x+1/x2(squared)-9 minus 2x-2/x2(squared -9. my answer x-1/x2(squared -9 Use ^ (Shift ^) for exponents.
 Radicals/729734: cube root of 64x^6 y^3 /cube root of 7z^21 solutions Answer 446189 by Alan3354(34674)   on 2013-03-23 18:21:09 (Show Source): You can put this solution on YOUR website!cube root of 64x^6 y^3 /cube root of 7z^2 ---------- = ------ =
 Matrices-and-determiminant/729671: Does this system have a unique solution, no solution, or infinite solution? x=2y/3 y=4x+51 solutions Answer 446171 by Alan3354(34674)   on 2013-03-23 16:19:45 (Show Source): You can put this solution on YOUR website!Does this system have a unique solution, no solution, or infinite solution? x=2y/3 y=4x+5 ----------- The slopes are different --> a unique solution.
 logarithm/729608: How do you solve log square root 3729=x1 solutions Answer 446058 by Alan3354(34674)   on 2013-03-23 10:04:24 (Show Source): You can put this solution on YOUR website!How do you solve log square root 3729=x ------------- I would use a calculator.
 Sequences-and-series/729524: Abdul must choose a number between 49 and 95 that is a multiple of 3 , 6 , and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas. 1 solutions Answer 446011 by Alan3354(34674)   on 2013-03-22 21:25:48 (Show Source): You can put this solution on YOUR website!Abdul must choose a number between 49 and 95 that is a multiple of 3 , 6 , and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas. --------------------- If you mean a multiply of all 3, then it's a multiple of 18. List the multiples of 18 between 49 & 95.
 Circles/729541: Can someone please help me on this topic? This is called sketching grafts of circles what is 1.)(x-4)^2+(y-5)^2=16 2.)25x^2+25y^2=251 solutions Answer 446010 by Alan3354(34674)   on 2013-03-22 21:23:12 (Show Source): You can put this solution on YOUR website!Can someone please help me on this topic? This is called sketching grafts of circles ---------- It's graphs, not grafts. what is 1.)(x-4)^2+(y-5)^2=16 2.)25x^2+25y^2=25 ------------- They're equations of circles. What do you want to do?
 Travel_Word_Problems/729459: Speed of Plane A = 425 mph. Speed of Plane B = 375 mph. Both planes leave from Kansas City at the same time. Plane A flies due West. Plane B flies due South. After 3 hours, how far is Plane A from Plane B? miles1 solutions Answer 445882 by Alan3354(34674)   on 2013-03-22 15:25:34 (Show Source): You can put this solution on YOUR website!Speed of Plane A = 425 mph. Speed of Plane B = 375 mph. Both planes leave from Kansas City at the same time. Plane A flies due West. Plane B flies due South. After 3 hours, how far is Plane A from Plane B? miles --------------- D = r*t Plane A is 425*3 = 1275 miles away Find the distance of Plane B the same way. ----- The 2 distances are the legs of a right triangle.
 Linear-equations/729479: I need to solve the systems of equations 2x+4y=-2, 2x-y=4 I got the answer 7/5 and I was trying to put the answer in but I got 2(14/10) I don't know how they came up with the answer (7/5,-6/5) How did they get -6/5 for the y?1 solutions Answer 445881 by Alan3354(34674)   on 2013-03-22 15:23:01 (Show Source): You can put this solution on YOUR website!solve the systems of equations 2x+4y=-2, 2x-y=4 ------------------ 2x+4y=-2 2x -y= 4 ------------ Subtract 5y = -6 y = -6/5 ------------- 2x -y= 4 2x + 6/5 = 4 2x = 14/5 x = 7/5
 test/729435: What is the slope if a line that passes through the points (3,5) and (-2,2)1 solutions Answer 445880 by Alan3354(34674)   on 2013-03-22 15:20:11 (Show Source): You can put this solution on YOUR website!What is the slope if a line that passes through the points A(3,5) and B(-2,2) -------------- I added labels. The change in y from A to B = -3 The change in x from A to B = -5 ----- Slope m = diffy/diffx = -3/-5 m = 3/5