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# Recent problems solved by 'ewatrrr'

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 Polynomials-and-rational-expressions/418558: Multiply and express the product in simplest form: x^2-9/x+2 X x^2-4/x-31 solutions Answer 292870 by ewatrrr(10682)   on 2011-03-07 06:59:53 (Show Source): You can put this solution on YOUR website! ``` Hi ( x^2-9)/(x+2) X (x^2-4)/(x-3) |Note the use of() to clarify ```
 Trigonometry-basics/418253: In a 30-60 right triangle, where angle A=30 and side a=3, what is side b?1 solutions Answer 292749 by ewatrrr(10682)   on 2011-03-06 16:35:26 (Show Source): You can put this solution on YOUR website! ``` Hi In a 30-60 right triangle, where angle A=30 and side a=3, what is side b? 3 30-60-90 Triangle... sides are in the ratio: 1:sqrt(3):2 ```
 Complex_Numbers/418232: how do I find the vertex for X^2-3x-4=0?1 solutions Answer 292747 by ewatrrr(10682)   on 2011-03-06 16:27:28 (Show Source): You can put this solution on YOUR website! ``` Hi how do I find the vertex for X^2-3x-4=0? by completing the Square and putting into the vertex form Note: the vertex form of a parabola, where(h,k) is the vertex x^2 - 3x - 4 = 0 (x-3/2)^2 - 9/4 - 4 = 0 (x-3/2)^2 - 25/4 = 0 vertex is Pt(3/2,-25/4) ```
 Angles/418241: Find the supplementary angle of 24°1 solutions Answer 292745 by ewatrrr(10682)   on 2011-03-06 16:18:17 (Show Source): You can put this solution on YOUR website! ``` Hi 180° - 24° = 156° ```
 Linear_Equations_And_Systems_Word_Problems/418226: a number of students rented a car for \$160 for a one week camping trip. If another student had joined the original group, each persons share of expenses would have been reduced by \$8. How many students were in the orginal group? 1 solutions Answer 292744 by ewatrrr(10682)   on 2011-03-06 16:15:53 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the number in the original group Question states*** 160/x - 160/(x+1) = \$8 Solving for x 160(x+1) - 160x = 8x(x+1) 8x^2 + 8x -160 = 0 x^2 + x - 20 = 0 (x+5)(x-4)=0 x = 4 |tossing out negative solution for count CHECKING our Answer*** 160/4 - 160/5 = \$40 - \$32 = \$8 ```
 Volume/418220: Find the volume of a cube that has a total area of 96 sq. in.1 solutions Answer 292742 by ewatrrr(10682)   on 2011-03-06 15:52:36 (Show Source): You can put this solution on YOUR website! ``` Hi cube with 6 sides having total area of 96 in^2 96in^2/6 = 16in^2 per side s*s = Area (side) where s(length of a side) = 4in Volume(cube) = s*s*s = 4in * 4in * 4in = 64 in^3 ```
 Exponential-and-logarithmic-functions/418199: How do i graph natural base functions. for example: y=e to the -x1 solutions Answer 292727 by ewatrrr(10682)   on 2011-03-06 15:08:53 (Show Source): You can put this solution on YOUR website! ``` Hi e^x Green e^(-x) Blue ```
 Expressions-with-variables/418186: Solve by the substitution method. What is the solution of the system? 7x+3y= -35 -7x+y=63 1 solutions Answer 292724 by ewatrrr(10682)   on 2011-03-06 15:01:15 (Show Source): You can put this solution on YOUR website! ``` Hi -7x+y=63 OR y = 7x+63 7x+3y= -35 7x + 3(7x+63) = -35 28x = -224 x = -8 and y = 7 (-56+63) CHECKING our Answer*** using elimination method 7x+3y= -35 -7x+ y=63 4y = 28 y = 7 and x = -56/7 = -8 (using 1st EQ) ```
 Linear-systems/418187: Could someone please help me understand how to do this equation? -8x-25=27 2/3 I know I have to multiply by three to make a whole number so 27 2/3 becomes -83 then I believe I am supposed to add either -25 or 25 to both sides1 solutions Answer 292721 by ewatrrr(10682)   on 2011-03-06 14:54:26 (Show Source): You can put this solution on YOUR website! ``` Hi -8x-25 = 27 2/3 = 83/3 |27 2/3 is the same as 83/3 -8x-25 = 83/3 |multiplying thru by 3 so as all denominators = 1 -24x - 75 = 83 -24x = 158 x = -158/24 = -79/12 ```
 Equations/418151: Use the quadratic formula to solve the equation. 3x^2 -7x – 2=0 The solution set is__________ Use the quadratic formula to solve the equation. 4x^2 =7-2x The solution set is__________ 1 solutions Answer 292716 by ewatrrr(10682)   on 2011-03-06 14:42:26 (Show Source): You can put this solution on YOUR website! ``` Hi Using the quadratic formula to solve 3x^2 -7x – 2 = 0 |Note use of ^ (uppercase 6) 4x^2 =7-2x 4x^2 + 2x - 7 = 0 ```
 Numeric_Fractions/418177: 4 sq root 2x times 3 sq root 8x thanks for ur help...i really appreciate it Gina1 solutions Answer 292712 by ewatrrr(10682)   on 2011-03-06 14:30:51 (Show Source): You can put this solution on YOUR website! ``` Hi ```
 logarithm/418178: Please help me solve this.... In September 1998 the population of the country of West Goma in millions was modeled by f(x)=16.7e^0.0015x. At the same time the population of East Goma in millions was modeled by g(x)=14.6e^0.0135x. In both formulas x is the year, where x=0 corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma. Possible answer is 2009 but not sure1 solutions Answer 292709 by ewatrrr(10682)   on 2011-03-06 14:24:03 (Show Source): You can put this solution on YOUR website! ``` Hi Population formulas, where x is the number of years beyond 1998 16.7e^0.0015x = 14.6e^0.0135x 16.7/14.6 = e^(.0135x-.0015x) = e^.012x ln(16.7/14.6)/.012 = x x = 11 years (to the nearest year) 1998 + 11 = 2009, the year the populations will be equal. ```
 Exponents/418171: can you please help solve 8-x/9-x=1/x-9 1 solutions Answer 292707 by ewatrrr(10682)   on 2011-03-06 14:11:04 (Show Source): You can put this solution on YOUR website! ``` Hi |recommend using () for clarity. for ex:(8-x)/(9-x) = 1/(x-9) 8-x = -1 9 = x |Cannot have zero in the denominator. There is NO solution ```
 Polynomials-and-rational-expressions/418164: Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 2x^2 + 14x – 9. She estimates that utilities costs for one month is given by 12x – 3. Find and simplify an expression that would estimate Suzie’s total costs for one month. 1 solutions Answer 292705 by ewatrrr(10682)   on 2011-03-06 14:04:57 (Show Source): You can put this solution on YOUR website! ``` Hi 2x^2 + 14x – 9 + 12x – 3 = 2x^2 + 26x - 12 supply cost utilities = total cost ```
 Polynomials-and-rational-expressions/418167: solve each equation by completing the square p^2-5p= -4 1 solutions Answer 292704 by ewatrrr(10682)   on 2011-03-06 13:59:49 (Show Source): You can put this solution on YOUR website! ``` Hi solving by completing the square p^2-5p = -4 (p-5/2)^2 = -4 + 25/4 (p-5/2)^2 = 9/4 (p-5/2) = ± 3/2 p = 5/2 ± 3/2 p = 4 or p = 1 CHECKING our Answer*** p^2-5p +4 = 0 (p-4)(p-1) = 0 (p-4)= 0 p = 4 (p-1)=0 p = 1 ```
 Numeric_Fractions/418158: A new coat is regularly priced at \$49.95. It is on sale with a discount of 10% . Approximately how much would be saved by purchasing the coat at the sale price?1 solutions Answer 292702 by ewatrrr(10682)   on 2011-03-06 13:45:10 (Show Source): You can put this solution on YOUR website! ``` Hi A new coat is regularly priced at \$49.95. It is on sale with a discount of 10% sale price = \$49.95 - .10*49.95 = \$44.96 Saving: \$49.95 - \$44.96 = \$4.99 ```
 Graphs/418148: graph the inequality on a plane 5x+6y<30 the arrow has a line under it1 solutions Answer 292701 by ewatrrr(10682)   on 2011-03-06 13:38:09 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously posted graph the inequality on a plane 5x+6y ≤ 30 I. Graph the line: 5x+6y=30 Pt(0,5) and Pt(6,0) on this line. Plot points and connect with line. II. shade area under/including the line ```
 Graphs/418149: graph the inequality on a plane 5x+6y<30 the arrow has a line under it1 solutions Answer 292700 by ewatrrr(10682)   on 2011-03-06 13:32:58 (Show Source): You can put this solution on YOUR website! ``` Hi graph the inequality on a plane 5x+6y ≤ 30 I. Graph the line: 5x+6y=30 Pt(0,5) and Pt(6,0) on this line. Plot points and connect with line. II. shade area under/including the line ```
 Linear-systems/418109: The perimeter of a rectangle is 50 cm. The length is 9 cm more than the width. What is the length and width of this rectangle?1 solutions Answer 292699 by ewatrrr(10682)   on 2011-03-06 12:59:13 (Show Source): You can put this solution on YOUR website! ``` Hi Let x and (x+ 9cm) respresent the width and length respectively 2(x+9) + 2x = 50cm 4x = 32 x = 8cm, the width. The length is 17cm (8cm + 9cm) CHECKING our Answer*** 2*17cm + 2*8cm = 50cm ```
 Evaluation_Word_Problems/418113: 2) The equation x= 1/2 t(y-z) is equivalent to the equation y=1 solutions Answer 292698 by ewatrrr(10682)   on 2011-03-06 12:55:50 (Show Source): You can put this solution on YOUR website! ``` Hi x = 1/2 t(y-z) 2x/t = (y-z) 2x/t + z = y ```
 Rectangles/417425: What is the length of a rectangular lot that has a perimeter of 1350 m and a width of 275 m1 solutions Answer 292696 by ewatrrr(10682)   on 2011-03-06 12:37:50 (Show Source): You can put this solution on YOUR website! ``` Hi rectangular lot that has a perimeter of 1350 m and a width of 275 m 2*L + 2*275m = 1350m L = 400m ```
 Rectangles/417512: The length of a rectangle is 15 feet. The width is 8 feet. What is the perimeter of the rectangle?1 solutions Answer 292694 by ewatrrr(10682)   on 2011-03-06 12:35:28 (Show Source): You can put this solution on YOUR website! ``` Hi The length of a rectangle is 15 feet. The width is 8 feet. 2*15ft + 2*8ft = 46ft ```
 Rectangles/417837: The perimeter of the rectangle is 268ft. The length is 34ft greater than the width. Find the width and the length.1 solutions Answer 292692 by ewatrrr(10682)   on 2011-03-06 12:33:40 (Show Source): You can put this solution on YOUR website! ``` Hi Let x and (x+34ft) respresent the width and length respectively 2(x+34) + 2x = 268ft 4x = 200 x = 50ft, the width. The length is 84ft (50ft+34ft) CHECKING our Answer*** 2*84 + 2*50 = 268 ```
 Rectangles/417895: i have a quadrilateral RSTU rectangle figure.The length of segment TU is 26.9 centimeters and the perimeter is 134.2 centimeters.what is the length of the rectangle?what is the area of the rectangle? 1 solutions Answer 292689 by ewatrrr(10682)   on 2011-03-06 12:28:38 (Show Source): You can put this solution on YOUR website! ``` Hi 2L + 2*26.9cm = 134.2cm L = 40.2cm Area = l*w = 26.9cm*40.2cm ```
 Rectangles/418106: the length of a rectangle is 2 inches longer than the width of the rectangle. If the perimeter of the rectangle is 46 inches, what is the area of the rectangle?1 solutions Answer 292686 by ewatrrr(10682)   on 2011-03-06 12:23:05 (Show Source): You can put this solution on YOUR website! ``` Hi length of a rectangle is 2 inches longer than the width of the rectangle Let x and (x+2) represent the width and length respectively 2(x+2) + 2x = 46in 4x = 42in x = 10.5in, the width. The length is 12.5in (10.5 + 2) CHECKING our Answer*** 2*12.5in + 2*10.5in = 25in + 21in = 46in ```
 Polynomials-and-rational-expressions/418100: Can you simplify this rational expression? ((4x-7y)^2-16x^2)/(y)1 solutions Answer 292682 by ewatrrr(10682)   on 2011-03-06 12:15:12 (Show Source): You can put this solution on YOUR website! ``` Hi ```
 test/418088: X to the negative first how do I solve the negative first power?1 solutions Answer 292680 by ewatrrr(10682)   on 2011-03-06 12:06:09 (Show Source): You can put this solution on YOUR website! ``` Hi For ex: ```
 Quadratic_Equations/417091: the graph of the quadratic y = -2x^2 + 3 the graph is translated down 4 units , what is the equation of the new function 1 solutions Answer 292676 by ewatrrr(10682)   on 2011-03-06 11:56:01 (Show Source): You can put this solution on YOUR website! ``` Hi Using the vertex form of a parabola, where(h,k) is the vertex the graph of the quadratic y = -2x^2 + 3 Vertex is Pt(0,3) translated down 4 units Vertex would be Pt(0,-1) y = -2x^2 - 1 ```
 Quadratic_Equations/417959: One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 42 meters. Find all three sides. (Enter your answers from smallest to largest.) ? meters ? meters ? meters1 solutions Answer 292675 by ewatrrr(10682)   on 2011-03-06 11:50:45 (Show Source): You can put this solution on YOUR website! ``` Hi Let x, x/2, (x-8), represent the sides Question states*** x + x/2 + (x-8) = 42m Solving for x 5/2x = 50m x = 20m x/2 = 10m and (x-8)= 12m Length of sides are: 10m,12m,20m CHECKING our Answer*** 20m + 10m + 12m = 42m ```
 Quadratic_Equations/418089: what is the equations of the axis of symmetry of the graph y=2x^2-6x-141 solutions Answer 292672 by ewatrrr(10682)   on 2011-03-06 11:44:56 (Show Source): You can put this solution on YOUR website! ``` Hi Using the vertex form of a parabola, where(h,k) is the vertex y=2x^2-6x-14 |completing the square to put into the vertex form y= 2(x-3/2)^2 -9/2 -14 y= 2(x-3/2)^2 -37/2 |vertex Pt(3/2,-37/2) x = 3/2 the line of symmetry CHECKING our Answer*** ```
 Evaluation_Word_Problems/418069: Sketch the graph of y= - Square root of x+21 solutions Answer 292668 by ewatrrr(10682)   on 2011-03-06 11:16:59 (Show Source): You can put this solution on YOUR website! ``` Hi Sketch the graph of y= - sqrt(x+2) Note: Pt(-2,0) and III and IV quadrant portions of the parabola: x = y^2 - 2 ```