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# Recent problems solved by 'ewatrrr'

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 Linear-equations/410040: Find the slope and y-intercept of the line in the given equation Y=4/9x-20 1 solutions Answer 288449 by ewatrrr(10682)   on 2011-02-16 11:12:41 (Show Source): You can put this solution on YOUR website! ``` Hi Find the slope and y-intercept of the line in the given equation y=4/9x-20 y = (4/9)x-20 |slope= 4/9 and y-intercept is Pt(0,-20) ```
 Linear-equations/409780: find the linear equation passing through the given point: (0,3) (4,7)1 solutions Answer 288447 by ewatrrr(10682)   on 2011-02-16 11:05:50 (Show Source): You can put this solution on YOUR website! ``` Hi find the linear equation passing through the given point: (0,3) (4,7) Using the point-slope formula, (0,3) (4,7) m = -4/-4 = 1 y = x + b |using ordered pair Pt(0,3) to solve for b 3 = 0 + b 3 = b y = x + 3 |written in slope-intercept form ```
 Linear-equations/409783: Find the equation of the line if the line contains the point (-4,0)and is parallel to y= -2x+11 solutions Answer 288444 by ewatrrr(10682)   on 2011-02-16 10:58:23 (Show Source): You can put this solution on YOUR website! ``` Hi line that passes through (-4, 0) and is parallel to y= -2x+1 y= -2x+1 |slope m = -2. Parallel lines have identical slopes New Line: m = -1/3 |Note: 3*-1/3 = -1 y = -2x + b |using ordered pair Pt(-4,0) to solve for b 0 = 8 + b -8 = b y = -2x -8 |written in slope-intercept form ```
 Linear-equations/409709: demonstrate how to write an equation(3,-2) and perpendicular to the line y=3x-41 solutions Answer 288442 by ewatrrr(10682)   on 2011-02-16 10:52:36 (Show Source): You can put this solution on YOUR website! ``` Hi line that passes through (3, -2) and is perpendicular to y=3x-4 y=3x-4 |slope m = 3 perpendicular lines have slopes that are neagtive reciprocals of one another New Line: m = -1/3 |Note: 3*-1/3 = -1 y = (-1/3)x + b |using ordered pair Pt(3,-2) to solve for b -2 = -1 + b -1 = b y = (-1/3)x - 1 |written in slope-intercept form ```
 Linear-equations/409825: Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 Please show all of your work.1 solutions Answer 288440 by ewatrrr(10682)   on 2011-02-16 10:47:03 (Show Source): You can put this solution on YOUR website! ``` Hi line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 2x – 9y = -12 OR y = (2/9)x + 12/9 |slope m = 2/9. perpendicular lines have slopes that are neagtive reciprocals of one another New Line: m = -9/2 |Note: 2/9*-9/2 = -1 y = (-9/2)x + b |using ordered pair Pt(-2,3) to solve for b 3 = 9 + b -6 = b y = (-9/2)x -6 |written in slope-intercept form ```
 Linear-equations/409971: Input the equation for the following line in standard form Ax + By = C. Reduce all fractional answers to lowest terms. A line that passes through the origin and is parallel to x + y = 6. 1 solutions Answer 288439 by ewatrrr(10682)   on 2011-02-16 10:38:35 (Show Source): You can put this solution on YOUR website! ``` Hi A line that passes through the origin and is parallel to x + y = 6. x + y = 6 OR y = -x + 6 |slope m = -1. Parallel lines have identical slopes New Line: y = -x + b |using ordered pair Pt(0,0) to solve for b 0 = 0 + b 0 = b y = -x |written in standard from: x + y = 0 ```
 Linear-equations/409965: Write the slope-intercept equation for the line that passes through (4, -9) and has slope -3/4. Please show all of your work. 1 solutions Answer 288438 by ewatrrr(10682)   on 2011-02-16 10:32:55 (Show Source): You can put this solution on YOUR website! ``` Hi Write the slope-intercept equation for the line that passes through (4, -9) and has slope -3/4. y = (-3/4)x + b |using ordered pair Pt(4,-9) to solve for b -9 = -3 + b -6 = b y = (-3/4)x -6 |written in the slope-intercept form ```
 Linear-equations/409822: Write the standard form of the equation of the line through the pair of points (5,-5) and (-6,10). Write the equation using only integer coefficients.1 solutions Answer 288437 by ewatrrr(10682)   on 2011-02-16 10:27:53 (Show Source): You can put this solution on YOUR website! ``` Hi Write the standard form of the equation of the line through the pair of points (5,-5) and (-6,10). Using the point-slope formula, ( 5,-5) and (-6,10) m = -15/11 y = (-15/11)x + b \using ordered pair Pt(5,-5) to solve for b -5 = -75/11 + b 20/11 = b y = (-15/11)x + 20/11 OR 15x + 11y = 20 ```
 Linear-equations/409968: Find the slope passing through this pair (2,9) and (1,4)1 solutions Answer 288436 by ewatrrr(10682)   on 2011-02-16 10:20:31 (Show Source): You can put this solution on YOUR website! ``` Hi Using the point-slope formula, (2,9) and (1,4) m = 5/1 Or m = 5 ```
 Expressions-with-variables/409812: What is the elimination method for 14x+18y=-54, -4x-14y=421 solutions Answer 288435 by ewatrrr(10682)   on 2011-02-16 10:17:12 (Show Source): You can put this solution on YOUR website! ``` Hi solving by the elimination method 14x+18y=-54 -4x-14y =42 14x +18y=- 54 -36/7x -18y = 54 |Multiplying 2nd Equation by 9/7, adding and eliminating y x = 0 and y = -3 | 14*0 + 18y = -54 OR y = -3 CHECKING our Answer*** -4x-14y =42 0 -14*-3 = 42 ```
 Expressions-with-variables/409956: x+2y=11 12x-6y=121 solutions Answer 288434 by ewatrrr(10682)   on 2011-02-16 10:09:57 (Show Source): You can put this solution on YOUR website! ``` Hi solving by the elimination method x+2y=11 12x-6y=12 3x+6y=33 |multiplying the 1st equation by 3, adding and eliminating y 12x-6y=12 15x = 45 x = 3 and y = 4 | x+2y=11 OR 2y = 11-3 OR 2y = 8 & y = 4 CHECKING our Answer*** 12x - 6y = 12 12*3 - 6*4 = 36 -24 = 12 ```
 Expressions-with-variables/409895: -2x+3y=14 x+2y=71 solutions Answer 288433 by ewatrrr(10682)   on 2011-02-16 10:04:50 (Show Source): You can put this solution on YOUR website! ``` Hi solving by the elimination method -2x+3y=14 x+2y=7 -2x+3y=14 2x+4y=14 |Multiplying 2nd quation by 2, adding and eliminating x 7y = 28 y = 4 and x = -1 | x+2y=7 OR x= 7- 2*4 CHECKING our Answer*** -2x + 3y =14 -2(-1) + 3*4 = 2 + 12 = 14 ```
 Expressions-with-variables/403903: Half the difference of four and a number increased by three1 solutions Answer 288431 by ewatrrr(10682)   on 2011-02-16 09:56:41 (Show Source): You can put this solution on YOUR website! ``` Hi Half the difference of four and a number increased by three Let n represent the number the Expression of this in terms of n would be: [4 -(n+3)]/2 OR (1-n)/2 ```
 Expressions-with-variables/408328: y decreased by the product of 19 and y 1 solutions Answer 288430 by ewatrrr(10682)   on 2011-02-16 09:52:48 (Show Source): You can put this solution on YOUR website! ``` Hi y decreased by the product of 19 and y the Expression of this in terms of y would be: y - 19y ```
 Expressions-with-variables/409999: translate into algebraic expression... the number of weeks in k years1 solutions Answer 288428 by ewatrrr(10682)   on 2011-02-16 09:50:17 (Show Source): You can put this solution on YOUR website! ``` Hi the number of weeks in k years. (52 weeks in one year) translate into algebraic expression: 52k ```
 test/410000: What are first quadrant portions1 solutions Answer 288427 by ewatrrr(10682)   on 2011-02-16 09:40:44 (Show Source): You can put this solution on YOUR website! ``` Hi Note: first quadrant is of the form (x, y), where x > 0 and y > 0 ```
 test/409995: Sketch the first-quadrant portions of y=x^2+8x+161 solutions Answer 288425 by ewatrrr(10682)   on 2011-02-16 09:35:29 (Show Source): You can put this solution on YOUR website! ``` Hi Using the vertex form of a parabola, where(h,k) is the vertex Sketching the first-quadrant portions of y=x^2+8x+16 y = x^2+8x+16 y= (x+4)^2 - 16 + 16 y = (x+4)^2 |When x = 0, then y = 16 Cannot demonstrate here, however it would be the portion of the parabola in the first-quadrant ```
 Polynomials-and-rational-expressions/409982: In solving the equation (x + 1)(x – 2) = 54, Eric stated that the solution would be x + 1 = 54 => x = 53 or (x – 2) = 54 => x = 56 However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning. I have tried this, when I substituted 53, and 56..I got 2862=54..I am way off..Please help..Thank you.1 solutions Answer 288421 by ewatrrr(10682)   on 2011-02-16 09:22:13 (Show Source): You can put this solution on YOUR website! ``` Hi (x + 1)(x – 2) = 54 This equation states it is the PRODUCT of (x+1) and (x-2) = 54! Note: The factor theorem states that a polynomial f(x) has a factor (x − k) where k is a 'solution' if and only if f(k) = 0 (x + 1)(x – 2) = 54 |Putting this in the form ax^2 + bx + c = 0 in order to factor x^2 -x - 2 = 54 x^2 -x - 56 = 0 |Yes! factoring (x-8)(x+7)= 0 |NOW! 'Each' of the Products is = 0 (x-8)= 0 x = 8 (x+7)= 0 x = -7 CHECKING our Answer(s)*** (x + 1)(x – 2) = 54 9*6 = 54 -6*-9 =54 ```
 Mixture_Word_Problems/409981: What is the range of the function y = x^2? 1 solutions Answer 288416 by ewatrrr(10682)   on 2011-02-16 09:09:17 (Show Source): You can put this solution on YOUR website! ``` Hi range of the function y= x^2 |Note use of ^ (uppercase 6) Range of y is [0,) ```
 logarithm/409979: log(x)+log(x)=2. I could really use some help on this1 solutions Answer 288414 by ewatrrr(10682)   on 2011-02-16 09:04:48 (Show Source): You can put this solution on YOUR website! ``` Hi Note: log(x)+log(x)=2 log(x^2)=2 10^2 = x^2 x = 10 |(Note: -10 is an Extraneous solution) CHECKING our Answer*** log 10 + log 10 = 1 + 1 = 2 ```
 Numbers_Word_Problems/409570: find two numbers whose sum is -64, if twice the first is one more than the second. 1 solutions Answer 288265 by ewatrrr(10682)   on 2011-02-15 16:13:20 (Show Source): You can put this solution on YOUR website! ``` Hi twice the first number is one more than the second. Let x and (2x -1)represent the first and second number respectively Question states*** x + (2x -1)= -64 Solving for x 3x = -63 x = -21, the first number. The second number is -43 (-42-1) CHECKING our Answer*** -21 + (-43) = -64 ```
 Age_Word_Problems/409563: Pablos age is 5 more than 3 times his son's age. If his son's age is represented by "s" write an algebraic expression representing Pablos age using "s"1 solutions Answer 288261 by ewatrrr(10682)   on 2011-02-15 16:07:47 (Show Source): You can put this solution on YOUR website! ``` Hi Pablos age is 5 more than 3 times his son's age If son's age is represented by "s" Pablos age = 3s + 5 ```
 decimal-numbers/409565: Write each decimal as a fraction or mixed number. 0.65 5.035 I need help on changing decimal to fraction.1 solutions Answer 288259 by ewatrrr(10682)   on 2011-02-15 16:04:09 (Show Source): You can put this solution on YOUR website! ``` Hi Writing each decimal as a fraction or mixed number. .65 = 65/100 = 13/20 5.035 = 5 35/1000 = 5 7/200 ```
 test/409559: Good evening,I am in need of help of a certain topic"Linear system using substitution" Can you use these examples to show me step by step? 4x-y=17 -9x+8y=21 solutions Answer 288258 by ewatrrr(10682)   on 2011-02-15 15:59:34 (Show Source): You can put this solution on YOUR website! ``` Hi solving "Linear system using substitution" 4x-y=17 OR y = 4x-17 |Need to solve for one variable in either equation -9x+8y=2 |subsituting for y -9x + 8(4x-17) = 2 -9x + 32x - 136 = 2 23x = 138 x = 6 and y = 7 (4*6 -17) Ordered pair Pt(6,7) is the solution CHECKING our Answer*** -9x + 8y =2 -54 + 56 = 2 ```
 Graphs/409560: how do I find the equation of the line in slope intercept form? (-3,0) with slope of 1/21 solutions Answer 288255 by ewatrrr(10682)   on 2011-02-15 15:49:02 (Show Source): You can put this solution on YOUR website! ``` Hi Line passing thru Pt(-3,0) with slope of 1/2 y = (1/2)x + b |using ordered pair pt(-3,0) to solve for b 0 = -3/2 + b 3/2 = b y = (1/2)x + 3/2 ```
 Numbers_Word_Problems/409556: Find two integers whose product is 408 such that one of the integers is five less than seven times the other integer.1 solutions Answer 288254 by ewatrrr(10682)   on 2011-02-15 15:46:08 (Show Source): You can put this solution on YOUR website!``` Hi one of the integers is five less than seven times the other integer. Let x and (7x-5)represent the intergers Question states*** x(7x-5) = 408 7x^2 - 5x -408 = 0 Solving for x x = 112/14 = 8 and x = -102/14 (extraneous solution as is a non-integer) Integers are 8 and 51 (7*8-5) CHECKING our Answer*** 8*51 =408 ```
 Equations/409552: I need help with a solve by substitution method equation< the answer should be an ordered pair. x= 24 - 4y 4x + 3y = -8 Any help would be greatly appreciated!!! Blaine1 solutions Answer 288253 by ewatrrr(10682)   on 2011-02-15 15:37:27 (Show Source): You can put this solution on YOUR website! ``` Hi Solving by substitution method x = 24 - 4y 4x + 3y = -8 4(24-4y) + 3y = -8 96 - 16y + 3y = -8 104 = 13y 8 = y & x = 24-4y = -8 Ordered pair (-8,8)is the solution CHECKING our Answer*** 4x + 3y = -8 -32 + 24 = -8 ```
 Quadratic-relations-and-conic-sections/409517: Write the standard form of the equation of the conic section with the given charateristics. 1. Parabola with vertex at (0, 0) and directrix at x = 5. 1 solutions Answer 288244 by ewatrrr(10682)   on 2011-02-15 14:18:08 (Show Source): You can put this solution on YOUR website! ``` Hi sketching parabola: Format: (y-k)^2 = 4p(x-h) I. Vertex is Pt(0,0) II. Opens left. Line of symmetry is the x-axis III. Directrix is x = 5 -p = 5 OR p = -5 and 4p = -20 y^2 = -20x OR x = (-1/20)y^2 ```
 Mixture_Word_Problems/409515: ben bowled 147 and 186 in his first two games.what must he bowl in his third game to have an average of at least 170?1 solutions Answer 288240 by ewatrrr(10682)   on 2011-02-15 14:00:42 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent the score of his 3rd game (147 + 186 + x)/3 ≥ 170 (147 + 186 + x) ≥ 510 x ≥ 177 Must bowl 177 or more ```
 Word_Problems_With_Coins/409516: I am needing some help with this problem please. Express in terms of i and show any work. -sqrt(-496)1 solutions Answer 288239 by ewatrrr(10682)   on 2011-02-15 13:56:24 (Show Source): You can put this solution on YOUR website! ``` Hi Express in terms of i and show any work. -sqrt(-496) = -isqrt(16*31) = -4isqrt(31) ```
 Equations/409466: show solution for (7x-3)+ 77+50= 180. The answer that I got was x=8 7x-3+77+50 = 180; 7x-3= 53;7x-3+3=53+3; 7x=56; 7x/7=56/7;x=8?1 solutions Answer 288238 by ewatrrr(10682)   on 2011-02-15 13:53:02 (Show Source): You can put this solution on YOUR website! ``` Hi solving for x (7x-3)+ 77+50= 180 7x-3+ 77+50= 180 7x - 3 = 53 7x = 56 x = 8 |Good work ```