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 Radicals/283373: Simplifying radicals 7 sq root 3 - 3 sq root 3. Thanks1 solutions Answer 205693 by richwmiller(9135)   on 2010-03-21 09:04:04 (Show Source): You can put this solution on YOUR website! Think of it as 7a-3a=(7-3)a=4a 7sqrt(3)-3sqrt(3) So we get 4sqrt(3)
 Triangles/283369: a right triangle has legs lengths of 9 and 12: The altitude of the hypotenuse has lenght of ?1 solutions Answer 205692 by richwmiller(9135)   on 2010-03-21 08:56:48 (Show Source): You can put this solution on YOUR website!Are you looking for the length of the hypotenuse? It is 15 this is a triple multiple of the 3,4,5 right triangle 3*3=9 3*4=12 3*5=15
 Linear-equations/283370: how do i solve this.. y=x+1 i need to set of coordinates but i don't know how to get the second set of corrdinates from this problem.1 solutions Answer 205691 by richwmiller(9135)   on 2010-03-21 08:50:55 (Show Source): You can put this solution on YOUR website!How did you get the first set of coordinates? Was it given ? Did you give us the whole problem? plug in zero for x and find y plug in zero for y and find x Now you have two sets of coordinates.
 Triangles/282676: In ΔABC, m∠A = 3x + 40, m∠B = 8x + 35, and m∠C = 10x. Which is the longest side of the triangle?1 solutions Answer 205690 by richwmiller(9135)   on 2010-03-21 08:48:17 (Show Source): You can put this solution on YOUR website!3x+40+8x+35+10x=180 x=5 so we have angles 3x+40=55 8x+35=40+35=85 10x=50 the side opposite the largest angle B is the longest
 Triangles/283371: If they hypotenuse of a 30-60-90 degree triangle has a lenght of x, then (a) the shorter leg has length? and (b) the longer leg has length ?1 solutions Answer 205689 by richwmiller(9135)   on 2010-03-21 08:40:56 (Show Source): You can put this solution on YOUR website!a 30-60-90 degree triangle has special known proportions the shorter leg will be x/2 if the hypotenuse is x and the longer leg will be sqrt(3)*x/2 the hypotenuse is twice the shorter leg. and the longer leg is sqrt(3) times the shorter leg
 Probability-and-statistics/283364: If a coin is tossed 100 times, the greatest number of times a head could possibly occur is a) 50 b) 60 c) 75 d) 80 e) 1001 solutions Answer 205685 by richwmiller(9135)   on 2010-03-21 08:18:50 (Show Source): You can put this solution on YOUR website!100
 Travel_Word_Problems/283319: A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed? Do I times 180 mph with 7 miles, and the same with the 5 miles? Please help. I appreciate it.1 solutions Answer 205661 by richwmiller(9135)   on 2010-03-20 23:27:43 (Show Source): You can put this solution on YOUR website!r*t=d (180+w)*t=7 (180-w)*t=5 t=7/(180+w) t=5/(180-w) set them equal to each other 7/(180+w)=5/(180-w) w=30 mph
 Travel_Word_Problems/283318: I am having problems figuring this problem out, Juniors boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current? can you please help me, and explain the steps. thank you.1 solutions Answer 205660 by richwmiller(9135)   on 2010-03-20 23:22:23 (Show Source): You can put this solution on YOUR website!r*t=d (15+c)*t=12 (15-c)*t=9 t=12/(15+c) t=9/(15-c) 12/(15+c)=9/(15-c) 4/(15+c)=3/(15-c) 4*(15-c)=3*(15+c) 60-4c=45+3c 15=7c c = 15/7=2 1/7 mph t = 7/10*60=42 minutes
 Polynomials-and-rational-expressions/283311: Susan can do a certain job in 5 hours. Kim can do the same job in 3 hours. Working together, how many hours would they need to do the job?1 solutions Answer 205655 by richwmiller(9135)   on 2010-03-20 22:49:43 (Show Source): You can put this solution on YOUR website!x/5+x/3=1 3x+5x=15 8x=15 x=15/8 x=1 7/8 hours x/5=15/8/5=3/8 of the job x/3=15/8/3=5/8 of the job Sue does 3/8 and Kim does 5/8 of the job
 Quadratic_Equations/283306: 2y^(2/3)+17y^(1/3)+30=0 I don't understand how to do this problem! 1 solutions Answer 205654 by richwmiller(9135)   on 2010-03-20 22:45:37 (Show Source): You can put this solution on YOUR website!2y^(2/3)+17y^(1/3)+30=0 let y^(1/3)=u 2u^2+17u+30=0 (u+6) (2 u+5) = 0 plug y^(1/3) back in for u (y^(1/3)+6)*(2y^(1/3)+5)=0 (y^(1/3)+6)=0 y^(1/3)=-6 y=(-6)^3 (2y^(1/3)+5)=0 2y^(2/3)=-5 y^(2/3)=-5/2 y^2=(-5/2)^3 y^2 = -125/8 y=sqrt(-125/8) y=-sqrt(-125/8)
 Polynomials-and-rational-expressions/283303: two cars leave an intersection, one car travels north the other east. When the car traveling north had gone 12 miles the distance between the cars was 8 miles more than the distance traveled by the car heading east. how far had the eastbound car traveled?1 solutions Answer 205652 by richwmiller(9135)   on 2010-03-20 22:25:46 (Show Source): You can put this solution on YOUR website!12^2+b^2=(b+8)^2 144+b^2=b^2+16x+64 144=16x+64 80=16x 5=x a classic 5,12,13 right triangle triplet
 Quadratic-relations-and-conic-sections/283259: 1 solutions Answer 205650 by richwmiller(9135)   on 2010-03-20 22:20:35 (Show Source): You can put this solution on YOUR website!x^2+2x+y^2-4y-4=0 x^2+2x+y^2-4y=4 we are going to complete the square once for x and once for y. That will give us the center and the radius we want to complete the square for x^2+2x take 2/2and square it 1^2=1 add 1 to both sides next we want to complete the square for y^2-4y take 4/2and square it 2^2=4 add four to both sides so we have added 5 to both sides x^2+2x+1+y^2-4y+4=9 (x+1)^2+(y-2)^2=9 the center is (-1,2) and the radius is 3 (sqrt(9)
 Polynomials-and-rational-expressions/283296: frank can type a report in 4 hours and james takes 7 hours. how long will it take the two of them typing together?1 solutions Answer 205648 by richwmiller(9135)   on 2010-03-20 22:11:27 (Show Source): You can put this solution on YOUR website!This problem might make math sense but practically how do you divide up the job of typing a report? x/4+x/7=1 7x+4x=28 11x=28 x=28/11 x=2 6/11
 Numbers_Word_Problems/283295: 1. the product of two consecutive integers is 600.find the integers.(show working out) 2. the product of two consecutive even integers is 1848.find the integers.(show working out) 3.two positive integers differ by 12 and their product is 405.find the integers.(show working out) topic is quadratic equations1 solutions Answer 205644 by richwmiller(9135)   on 2010-03-20 22:00:30 (Show Source): You can put this solution on YOUR website!Some website rules that you won't like. one problem per submission (Tutors are busy) No similar problems (different kinds of problems) Limit four submissions daily (4 questions a day) Don't try to get us to do your homework for you. We are here to teach you how to solve not do it for you.
 expressions/283293: Multiply (3x+2)(-5x-6)answers could be -2x^2, -15x^2-28x-12, -2x^2-28x-12, -15x^2-28x-28 1 solutions Answer 205642 by richwmiller(9135)   on 2010-03-20 21:36:09 (Show Source): You can put this solution on YOUR website!since according to FOIL, the first term must be 3x*(-5x) we need a -15 in the expression since the last term must be 2(-6) we need -12 in the expression so that leaves only the second expression -15x^2-28x-12
 Linear-equations/283287: x-y=3, -6+6y=17 I need help with this problem1 solutions Answer 205640 by richwmiller(9135)   on 2010-03-20 21:31:45 (Show Source): You can put this solution on YOUR website!Something is wrong with the second equation.
 Travel_Word_Problems/283290: hi, my question is following A toy rocket is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following. 1. Give the function that describes the height of the rocket in terms of t? 2. Determine the time at which the rocket reaches its maximum height, and its maximum height in feet? 3. For what time interval will the rocket be more than 300 ft above the ground level? 4. After how many seconds will it hit the ground?1 solutions Answer 205639 by richwmiller(9135)   on 2010-03-20 21:27:27 (Show Source): You can put this solution on YOUR website!Let me know when your question catches up to you. Is it following real close? I see 4 questions from your teacher.
 Complex_Numbers/283282: factoring completely 6x(3x-y)+ 5y(y-3x) where to start 1 solutions Answer 205637 by richwmiller(9135)   on 2010-03-20 21:19:48 (Show Source): You can put this solution on YOUR website!notice that -(y-3x)=(3x-y) -6x*(y-3x)+5y*(y-3x) (5y-6x)*(y-3x)
 Quadratic_Equations/283270: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A cement walk of uniform width is built around a 20 foot by 40 foot rectangular pool and the area of the walk is 700 square feet. How wide will the walk be?1 solutions Answer 205634 by richwmiller(9135)   on 2010-03-20 21:12:03 (Show Source): You can put this solution on YOUR website!the pool has an area of 20*40=800 (20+2x)*(40+2x)=1500 positive answer only x=5 the walkway will be 5 feet wide check 30*50=1500 ok why 2x? because the path is on both sides of the pool
Functions/283271: Graph this function on paper:
f(x)=x(squared)+4
the graph is a -10, 10 graph
1 solutions

Answer 205625 by richwmiller(9135)   on 2010-03-20 20:45:15 (Show Source):
You can put this solution on YOUR website!
f(x)=x^2+4
 Solved by pluggable solver: SOLVE quadratic equation with variable 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 : . The discriminant -16 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -16 is + or - . The solution is Here's your graph:

 Linear-systems/283268: I took Algebra 1 last year and will be taking Algebra 2 next year. I really have no knowledge as to what algebra is other than basic things like if you were to say 3X=9; I would know X=3. Only the most basic of Algebra do I understand and since it will be impossible to take an Algebra 2 class without the concepts of Algebra 1, I have decided I must learn them. The teacher I had last year simply gave children grades based on behavior, and homework completion, etc. I recall her doing a few Systems of equations on the board and assigning pages in a textbook that I nor any of my friends or classmates understood. I would appreciate it very much if you could solve a few. I don't have any examples; all I know is that there is a number with X +or- Y = a number. Thank You very much!1 solutions Answer 205622 by richwmiller(9135)   on 2010-03-20 20:41:27 (Show Source): You can put this solution on YOUR website!The website is here 24/7. So when you have a question, ask. But we cannot teach you the whole algebra course. There are many lessons on many math topics.
 Coordinate-system/283250: in a coordinate system, point a(-2,3) and b(6,-1) have a mid point of x. what is the midpoint between a and x1 solutions Answer 205614 by richwmiller(9135)   on 2010-03-20 20:00:25 (Show Source): You can put this solution on YOUR website!x=(2,2) midpoint between a and x is (0,2.5)
 Polynomials-and-rational-expressions/283253: i need to know what is A=pi*r^21 solutions Answer 205613 by richwmiller(9135)   on 2010-03-20 19:51:38 (Show Source): You can put this solution on YOUR website!the area of a circle
 Rational-functions/283243: if f(x)=x^2 - 7x, find f(a), f(a - 3), and f(a h)?1 solutions Answer 205612 by richwmiller(9135)   on 2010-03-20 19:50:41 (Show Source): You can put this solution on YOUR website!substitute a for x and solve next substitute a-3 for x and solve
 Permutations/283249: please help me solve this equation. what is the slope of line ((8x+12y+5=0 is))1 solutions Answer 205611 by richwmiller(9135)   on 2010-03-20 19:47:59 (Show Source): You can put this solution on YOUR website!-8/12=-2/3
 Linear-equations/283247: can u tell me wat 20x-5y=1.2 is caz i got an answer of 5 and i dont know if its right.1 solutions Answer 205608 by richwmiller(9135)   on 2010-03-20 19:37:33 (Show Source): You can put this solution on YOUR website!You got 5 for what? Your answer makes no sense.
 Human-and-algebraic-language/283244: Vern can shovel snow from his driveway in 45 minutes. Nina can do the same driveway in 60 minutes. How long will it take them to do the driveway if they work together?1 solutions Answer 205607 by richwmiller(9135)   on 2010-03-20 19:34:13 (Show Source): You can put this solution on YOUR website!x/45+x/60=1 x/3+x/4=15 4x+3x=180 7x=180 x=25 5/7 minutes
 Exponents-negative-and-fractional/283241: I saw a problem worked like this: cubert(8^2) = 8^(2/3) = (8^2)^(1/3) or (8^1/3)^2 How do they work each step of this answer? 1 solutions Answer 205605 by richwmiller(9135)   on 2010-03-20 19:24:36 (Show Source): You can put this solution on YOUR website! Yes they are all equivalent. And it does not matter whether you square first or find the cube root first ^2 means square ^!/3 means cube root The denominator tells you it is a root. The numerator tells you to square or cube. It can be even more fun if there is a minus sign The minus sign tells you to take the reciprocal. 2^(-1) means 1/2 2^(-1/2) take the square root of the reciprocal. sqrt(1/2) You should have a lesson already or soon on fractional and negative exponents.
 Signed-numbers/283232: how can i simplify 19 145/721 solutions Answer 205604 by richwmiller(9135)   on 2010-03-20 19:11:20 (Show Source): You can put this solution on YOUR website!19 145/72=19 +2 1/72=21 1/72
 Quadratic_Equations/283235: Factor completely. a^5 - 625a1 solutions Answer 205603 by richwmiller(9135)   on 2010-03-20 19:06:59 (Show Source): You can put this solution on YOUR website!a*(a^4-625)= a*(a^2-25)*(a^2+25)= a*(a-5)(a+5)(a^2+25)