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# Recent problems solved by 'ewatrrr'

ewatrrr answered: 10675 problems
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 Parallelograms/620172: If the area of a parallelogram is bh, and the base is 8 and the height is 4√3, then how would I calculate the area? Is there a way to reduce 32√3?1 solutions Answer 390000 by ewatrrr(10682)   on 2012-06-12 15:47:19 (Show Source): You can put this solution on YOUR website!``` Hi, If the area of a parallelogram is bh, and the base is 8 and the height is A = bh = = 55.4 units^2 in decimal form rounded to the nearest tenth ```
 Rational-functions/620212: The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?1 solutions Answer 389996 by ewatrrr(10682)   on 2012-06-12 15:38:59 (Show Source): You can put this solution on YOUR website! ``` Hi, The function f(x) = x^2. Green The graph of g(x) is f(x) translated to the left 6 units and down 5 units. Blue g(x) = (x+6)^2 - 5 |Using the Vertex form ```
 Rational-functions/620209: What is the graph of the absolute value function? y = 2|x|1 solutions Answer 389993 by ewatrrr(10682)   on 2012-06-12 15:32:51 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the graph of the absolute value function? y = 2|x| The part of the Lines y = 2x and y = -2x in the 1st and 2nd Quadrants ```
 Quadratic-relations-and-conic-sections/620155: 64x^2+16y^2+320x-192y+960=0 need in ellipse form plus foci, verts, and ecc I got for the formula 4(x+5/2)^2 + (y-6)^2 =1 not sure if this is right 1 solutions Answer 389963 by ewatrrr(10682)   on 2012-06-12 13:40:30 (Show Source): You can put this solution on YOUR website! ``` Hi, 64x^2+16y^2+320x-192y+960=0 64(x +5/2)^2 - 64(25/4) + 16(y+6)^2 - 16(36) +960 = 0 64(x +5/2)^2 + 16(y+6)^2 = 16 4(x+5/2)^2 + (y+6)^2 =1 Yes, good Work. This format gives the standard form C(-5/2,-6) V(-3,-6) & V(-2,6) and V(-5/2,-7) & V(-5/2,-5) sqrt(1-1/4) = sqrt(3/4) = ± sqrt(3)/2 F(-5/2, -6±sqrt(3)/2) Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a positioned to correspond with major axis) a and b are the respective vertices distances from center and ± are the foci distances from center: a > b ```
 Expressions-with-variables/620166: a^2 + 2ab - 80b^2 A. (a - 10)(a + 8b) B. (a - 10b)(a - 8b) C. (a + 10b)(a - 8b) D. (a + 10b)(a + 8b) thanks1 solutions Answer 389958 by ewatrrr(10682)   on 2012-06-12 13:23:53 (Show Source): You can put this solution on YOUR website! ``` Hi, factoring (a+10b)(a - 8b) F First terms a^2 O Outside terms -8ab I Inside terms 10ab L Last terms -80b^2 ```
 Problems-with-consecutive-odd-even-integers/620180: HELP! need to understand all the steps please show so I can follow for other similar math problems find the product (1/7x^2 – 2/5)(1/2x + ½) 1 solutions Answer 389956 by ewatrrr(10682)   on 2012-06-12 13:20:26 (Show Source): You can put this solution on YOUR website! ``` Hi, find the product = F First terms (1/14)x^3 O Outside terms (1/14)x^2 I Inside terms (-2/10)x L Last terms -2/10 ```
 Quadratic-relations-and-conic-sections/620174: (x+3)^2/7^2-(y-4)^2/5^2=1 which direction does the hyperbola go?1 solutions Answer 389954 by ewatrrr(10682)   on 2012-06-12 13:12:56 (Show Source): You can put this solution on YOUR website! ``` Hi, Opens right and left along y = 4 C(-3,4) and V(-10,4) & V(4,4) Standard Form of an Equation of an Hyperbola opening right and left is: where Pt(h,k) is a center with vertices 'a' units right and left of center and foci units from center along y = k ```
 Trigonometry-basics/620175: how do you graph f(x)=2cos(x)1 solutions Answer 389951 by ewatrrr(10682)   on 2012-06-12 13:04:04 (Show Source): You can put this solution on YOUR website! ``` Hi, Recommend 1st sketching cos(x)(green) and using that pattern for 2cos(x)(blue) ```
 Problems-with-consecutive-odd-even-integers/620170: Find three consecutive integers in which four times the sum of the first two is the same as six times the third1 solutions Answer 389945 by ewatrrr(10682)   on 2012-06-12 12:51:52 (Show Source): You can put this solution on YOUR website! ``` Hi, Find three consecutive integers, , in which four times the sum of the first two is the same as six times the third 4[ x + (x+1)] = 6(x+2)*** 4(2x+1) = 6(x+2) 8x + 4 = 6x + 12 2x = 8 x = 4 Integers are 4,5,6 CHECKING our Answer*** 4(9) = 6(6) = 36 ```
 test/620171: please help me solve for w. 1 solutions Answer 389943 by ewatrrr(10682)   on 2012-06-12 12:46:08 (Show Source): You can put this solution on YOUR website!``` Hi, solving for w. factoring (w+5)(w-3) = 0, w = 3 or w = -5 use FOIL to check the factoring is correct F First terms w^2 O Outside terms -3w I Inside terms 5w L Last terms -15 ```
 Matrices-and-determiminant/620164: Matrix: A= [5,2,1_7,6,3_1,0,2] B=[1,4,0_2,-1,2] Find AB if possible. If i'm on the right track AB is not possible because it is a 3x3 times a 2x3... It also asks for: 1. Find BA if possible, if not explain For this i ended up with [33,26,13_5,-2,3] but I am not confident in my answer 2. Find 3A-4B if possible Any help would be greatly appreciated. Thanks 1 solutions Answer 389942 by ewatrrr(10682)   on 2012-06-12 12:42:32 (Show Source): You can put this solution on YOUR website! ``` Hi, 1. Find AB if possible, if not explain NOT possible: Matrices multiplication is possible only when the number of columns of first matrix is equal to the number of rows of second matrix 2. Find BA if possible, if not explain Yes! Good Work! 2. Find 3A-4B if possible: NOT possible matrices must be the same size to add or subtract them ```
 Geometry_Word_Problems/620158: The perimeter of a rectangular garden is 290 feet. If the width of the garden is 66 feet, what is its length?1 solutions Answer 389941 by ewatrrr(10682)   on 2012-06-12 12:19:03 (Show Source): You can put this solution on YOUR website! ``` Hi, The perimeter of a rectangular garden is 290 feet. If the width of the garden is 66 feet, what is its length? P = 2W + 2L = 2·66ft + 2x = 290ft 132ft + 2x = 290ft 2x = 158ft x = 79ft CHECKING our Answer*** 2·66ft + 2·79ft = 290ft ```
 Problems-with-consecutive-odd-even-integers/620159: The sum of two consecutive integers is 10 more than the third. Find the integers1 solutions Answer 389940 by ewatrrr(10682)   on 2012-06-12 12:10:25 (Show Source): You can put this solution on YOUR website! ``` Hi, The sum of two consecutive integersand is 10 more than the third x + (x+1) = (x+2) + 10 2x + 1 = x + 12 x = 11 Integers are 11, 12, 13 CHECKING our Answer*** 11 + 12 = 23 = 13 + 10 ```
 Equations/620152: x/(x-3)=(2x+5)/(x+1)1 solutions Answer 389939 by ewatrrr(10682)   on 2012-06-12 12:06:34 (Show Source): You can put this solution on YOUR website! ``` Hi, ||Cross Multiplying to solve x(x+1) = (2x+5)(x-3) x^2 + x = 2x^2 -x - 15 0 = x^2 - 2x - 15 (x-5)(x+3) = 0 x = -3 or x = 5 ```
 Equations/620151: 1 solutions Answer 389938 by ewatrrr(10682)   on 2012-06-12 12:01:16 (Show Source): You can put this solution on YOUR website! ``` Hi, |Multiplying thru by (x-3)(x+3) so as all denominators = 1 6(x+3) -(x-3) = 51 5x +21 = 51 5x = 30 x = 6 ```
 Equations/620149: I did the work for this one, it basically came down to me getting a LCD of 60 and the answer I ended up with was x=-5/2. I just want to check to make sure this is correct. 1 solutions Answer 389934 by ewatrrr(10682)   on 2012-06-12 11:57:02 (Show Source): You can put this solution on YOUR website! ``` Hi, ||Yes!|Multiplying thru by 60 so as all denominators = 1 12x + 5 = 10x 2x = -5 x = Good Work! ```
 Surface-area/620133: C(1,5), D(4,1), E(-2,1)1 solutions Answer 389931 by ewatrrr(10682)   on 2012-06-12 11:49:48 (Show Source): You can put this solution on YOUR website! ``` Hi,previously Posted ```
 Surface-area/620134: C(1,5), D(4,1), E(-2,1) Find the area of the triangle.1 solutions Answer 389929 by ewatrrr(10682)   on 2012-06-12 11:49:08 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Square-cubic-other-roots/620140: please help Short Answer. Add the following: (-3.3x2 + 3.3x – 2.1) + (-8.7x2 + 9.8x + 4.2)1 solutions Answer 389926 by ewatrrr(10682)   on 2012-06-12 11:28:40 (Show Source): You can put this solution on YOUR website! ``` Hi, Add the following: (-3.3x^2 + 3.3x – 2.1) (-8.7x^2 + 9.8x + 4.2) -12x^2 + 13.1x + 2.1 ```
 Inequalities/620132: What is the least integer solution of 12x > -12?1 solutions Answer 389923 by ewatrrr(10682)   on 2012-06-12 11:20:53 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the least integer solution of 12x > -12 x > -1, 0 would be the least integer solution ```
 Travel_Word_Problems/620130: A canoe takes 7 hours to travel 48 kilometres down a river and back.The rate of the current of the river is 2 kilometres per hour.Find the rate of the canoe in still(calm) water.1 solutions Answer 389922 by ewatrrr(10682)   on 2012-06-12 11:17:41 (Show Source): You can put this solution on YOUR website! ``` Hi A canoe takes 7 hours to travel 48 km down a river and back.The rate of the current of the river is 2 kmph. Find the rateof the canoe in still(calm) water. D =rt or D/r = t |Multiplying thru by (r+2)(r-2)so as all denominators = 1 48(r-2) + 48(r+2) = 7(r+2)(r-2) 96r = 7(r^2 - 4) 7r^2 - 96r - 28 = 0 (7r+2)(r - 14) = 0 |throwing out negative solution for rate r = 14 kmph is the speed of the canoe in still(calm) water. CHECKING our Answer*** = 3hr + 4hr = 7hr ```
 Inequalities/620128: Write and solve an inequality to answer the following question. A truck weighs 28,500 lb. The total weight limit for the truck is 64,000 lb. What are the possible loads the truck can carry?1 solutions Answer 389920 by ewatrrr(10682)   on 2012-06-12 11:07:39 (Show Source): You can put this solution on YOUR website! ``` Hi, A truck weighs 28,500 lb. The total weight limit for the truck is 64,000 lb. What are the possible loads the truck can carry? 25,500 lb + x <64,000 lb x < 38,500 lb ```
 Polynomials-and-rational-expressions/620127: I need to factor this polynomial completely. a^4 b + a^2 b^31 solutions Answer 389919 by ewatrrr(10682)   on 2012-06-12 11:03:49 (Show Source): You can put this solution on YOUR website! ``` Hi, factor this polynomial completely ```
 Angles/620126: Thw paralellogram is a rhombus, and its asking to solve for xy. 3y+4, 7y-4, 2x+4, and 4x+2 are each on one side of the paralellogram. The answer choices are 10, 8, 2, and 20. please help1 solutions Answer 389917 by ewatrrr(10682)   on 2012-06-12 11:00:44 (Show Source): You can put this solution on YOUR website! ``` Hi, Thw paralellogram is a rhombus, and its asking to solve for xy. Note: sides of a rhombus are of equal length 3y+4 = 7y-4 8 = 4y y = 2 2x+4 = 4x+2 2 = 2x x = 1 and xy = 1·2 = 2 ```
 Linear_Algebra/620121: Consider the system of equations: x + y + z = 210; x + z = 230; x + y = 120 What is the value of x?1 solutions Answer 389915 by ewatrrr(10682)   on 2012-06-12 10:39:44 (Show Source): You can put this solution on YOUR website! ``` Hi, system of equations: x + y + z = 210 x + z = 230 y + 230 = 210 , y = -20 x + y = 120 x +(-20) = 120 x = 140 CHECKING our Answer*** Note: z = 90 140 -20 + 90 = 210 ```
 Quadratic-relations-and-conic-sections/620119: Find the coefficient of x17y3 from the expression (x + y)201 solutions Answer 389913 by ewatrrr(10682)   on 2012-06-12 10:34:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the coefficient of from the expression coefficient is 20C3 = 1140 ```
 Money_Word_Problems/620116: Use the compound interest formula to compute the balance in the following account after the stated period of time, assuming interest is compounded annually. \$5000 invested at an APR of 4.5% for 11 years. What is the balance in account after 11 years?1 solutions Answer 389912 by ewatrrr(10682)   on 2012-06-12 10:23:15 (Show Source): You can put this solution on YOUR website! ``` Hi, In General A = Accumulated Amount P= principal = 5000 r= annual rate = .045 n= periods per year = 1 t= years = 11 ```
 Matrices-and-determiminant/620085: Solve the system of equations by using the inverse of the coefficient matrix. -x-2y=8 3x+4y=24 also written as: x=x1 and y=x2 Please help! thanks!1 solutions Answer 389906 by ewatrrr(10682)   on 2012-06-12 09:40:50 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve the system of equations by using the inverse of the coefficient matrix. -x-2y=8 3x+4y=24 = 2 ```
 Geometry_Word_Problems/619846: the side of a cube is represented by 2X-1 . Find, in terms of x, the volume of the cube 1 solutions Answer 389824 by ewatrrr(10682)   on 2012-06-11 16:50:27 (Show Source): You can put this solution on YOUR website!``` Hi, the side of a cube is represented by 2x-1 . Find, in terms of x, the volume of the cube Volume of cube = s^3 = (2x-1)^3 = Note: (2x-1)(2x-1) = 4x^2 - 4x + 1 (4x^2 - 4x + 1)(2x-1)= 2x(4x^2 - 4x + 1) + 1(4x^2 - 4x + 1) gives us Or use |where a = 2x and b = -1 3x-4y-16 = 0, that is a Line y = (3/4)x - 4, slope = (3/4) and (0,-4) the point this line crosses the y-axis ```
 Travel_Word_Problems/619844: last week we drove to detroit at an average speed of 50 miles per hour the trip took 4 1/2 hours.how far was it? THANK YOU1 solutions Answer 389823 by ewatrrr(10682)   on 2012-06-11 16:41:01 (Show Source): You can put this solution on YOUR website! ``` Hi, last week we drove to detroit at an average speed of 50 miles per hour the trip took 4 1/2 hours. how farwas it? D = rt = ```
 Square-cubic-other-roots/619834: (425)^1/2 (90)^1/2 (4)^1/2 (32/64)^1/2 Change the number to a square root then write the number in integer or common fraction form where possible. Where not possible write an expression in simple form using radicals.1 solutions Answer 389821 by ewatrrr(10682)   on 2012-06-11 16:38:09 (Show Source): You can put this solution on YOUR website! ``` Hi, (425)^1/2 (90)^1/2 (4)^1/2 (32/64)^1/2 ```