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# Recent problems solved by 'Alan3354'

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 Rectangles/301019: how do i find the width,length and perimeter of a rectangle that has an area of 36 inches squared?1 solutions Answer 215864 by Alan3354(31522)   on 2010-05-05 18:32:54 (Show Source): You can put this solution on YOUR website!Insufficient data. The sides can be 2 by 18, 3 by 12, 4 by 9, etc
 Exponents/301012: (-11)^-2y^01 solutions Answer 215863 by Alan3354(31522)   on 2010-05-05 18:31:53 (Show Source): You can put this solution on YOUR website! y^0 = 1 --> = = 1/121
 Length-and-distance/301013: Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6) 1 solutions Answer 215861 by Alan3354(31522)   on 2010-05-05 18:28:48 (Show Source): You can put this solution on YOUR website!Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) --------------------- This is a 2 step process. First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 --------- Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 ------- y = mx + b y = 4x - 7 is the answer. ------------------------ Another approach using determinants: |x y 1| |2 1 1| = 0 |3 5 1| -------- x(1-5) - y(2-3) + 1(10-3) = 0 -4x + y + 7 = 0 y = 4x - 7 --------- For further assistance, or to check your work, email me via the thank you note or at Moral Loophole@aol.com
 Geometry_proofs/300944: Write the equation in slope-intercept form of each line described. 29. The line is perpendicular to y = -4x + 1 and contains (8, -1).1 solutions Answer 215842 by Alan3354(31522)   on 2010-05-05 16:37:50 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Geometry_proofs/300943: Write the equation in slope-intercept form of each line described. 28. The line is parallel to y = 3x - 4 and contains (2, 5).1 solutions Answer 215841 by Alan3354(31522)   on 2010-05-05 16:37:06 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
Expressions-with-variables/300908: A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. When does the diver hit the water?
1 solutions

Answer 215822 by Alan3354(31522)   on 2010-05-05 15:23:08 (Show Source):
You can put this solution on YOUR website!
h = -16t2 + 8t + 48. When does the diver hit the water?
------------
When h = 0
-16t^2 + 8t + 48 = 0
Solve for t
 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=49 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -1.5, 2. Here's your graph:

--------------------
t = 2 seconds

 Travel_Word_Problems/300913: In a race, Car A starts 1 mile behind Car B. If car A travels 65 mph and Car B travels 55 mph, how long will it take for Car A to overtake Car B?1 solutions Answer 215819 by Alan3354(31522)   on 2010-05-05 15:12:44 (Show Source): You can put this solution on YOUR website!Car A gains on car B at 10 mph 1 mi/10 mi/hr = 1/10 hour = 6 minutes
 Rational-functions/300895: find the zeros of P(x) =x^3-4x^2+x+61 solutions Answer 215817 by Alan3354(31522)   on 2010-05-05 14:49:17 (Show Source): You can put this solution on YOUR website!6 has 3 factors, 1, 2 & 3 Try those, + and minus
 Linear-equations/300897: 4(x+6)=(4x+24)1 solutions Answer 215816 by Alan3354(31522)   on 2010-05-05 14:41:01 (Show Source): You can put this solution on YOUR website!That's true, they are equal. Do you have a question?
 Square-cubic-other-roots/300893: ( r - 3 )^2 = 196 solve by square root. Please help me !1 solutions Answer 215814 by Alan3354(31522)   on 2010-05-05 14:26:21 (Show Source): You can put this solution on YOUR website!( r - 3 )^2 = 196 ------------------ Take the square root of both sides. r - 3 = +14 r - 3 = -14
 Graphs/300883: find the equation for the line that passes through the point(-3,4) and that is parallel to the line with the equation y=-2/3x + 17/31 solutions Answer 215813 by Alan3354(31522)   on 2010-05-05 14:20:24 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 expressions/300829: simplify -2 3/11 - (-7 10/11)1 solutions Answer 215783 by Alan3354(31522)   on 2010-05-05 11:47:36 (Show Source): You can put this solution on YOUR website! simplify -2 3/11 - (-7 10/11) = -25/11 - (-87/11) = (-25 + 87)/11 = 62/11
 Percentage-and-ratio-word-problems/300793: The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and 19 cars sold that week. What was the percent increase in sales from last week of the previous month compared to the first week of the next month.1 solutions Answer 215782 by Alan3354(31522)   on 2010-05-05 11:45:04 (Show Source): You can put this solution on YOUR website!The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and 19 cars sold that week. What was the percent increase in sales from last week of the previous month compared to the first week of the next month. --------------------- The increase was 7 (19 - 12) (7/12)*100 =~ 58% increase
 Polynomials-and-rational-expressions/300822: Determine the value(s) of the variable that must be excluded from the domain. 2(x + 3) -4x2 - 8x 1 solutions Answer 215781 by Alan3354(31522)   on 2010-05-05 11:39:11 (Show Source): You can put this solution on YOUR website!Determine the value(s) of the variable that must be excluded from the domain. ----------- 2(x + 3) None ------------ -4x2 - 8x None
 Triangles/300827: The length of a rectangle is twice it's width. If the area of the rectangle is 200yd squared, find its perimeter1 solutions Answer 215778 by Alan3354(31522)   on 2010-05-05 11:30:10 (Show Source): You can put this solution on YOUR website!It's (it is) 10 by 20 Its perimeter is 60 yards
 Linear_Equations_And_Systems_Word_Problems/300824: A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?1 solutions Answer 215777 by Alan3354(31522)   on 2010-05-05 11:27:03 (Show Source): You can put this solution on YOUR website!A motorboat travels 846 miles in 9 hours going upstream and 544 miles in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? ------------- 846/9 = 94 mph upstream 544/4 = 136 mph downstream The boat's speed is the average (94 + 136)/2 = 115 mph -------------------- The current is the difference 115 - 94 = 21 mph
 Quadratic-relations-and-conic-sections/300774: What is answer for X^2+Y^2=25 x2+y21 solutions Answer 215775 by Alan3354(31522)   on 2010-05-05 11:24:21 (Show Source): You can put this solution on YOUR website!What is the question?
 Inequalities/300818: I'm at a lose here. I've derived an answer but I'm lost as to whether it is correct. Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. (-3)/(2p^2+7p-15),p/(2p^2-11p+12),2/(p^2+p-20) 1. , , 2. , , 3. , , 4. , , 5. , , I cam up with 5 as my equation had (2p-3)(p+5)(p-4) as the LCD. Any help with this would be much appreciated. 1 solutions Answer 215774 by Alan3354(31522)   on 2010-05-05 11:22:25 (Show Source): You can put this solution on YOUR website!(-3)/(2p^2+7p-15), p/(2p^2-11p+12), 2/(p^2+p-20) ----------------- (2p^2+7p-15) = (2p - 3)*(p + 5) (2p^2-11p+12) = (2p - 3)*(p - 4) (p^2+p-20) = (p + 5)*(p - 4) ----------------------------- LCD = (2p-3)*(p+5)*(p-4) Same as your answer.
 Human-and-algebraic-language/300759: What is the slope of the line for the equation 4x-5y=3 Thanks1 solutions Answer 215770 by Alan3354(31522)   on 2010-05-05 11:00:09 (Show Source): You can put this solution on YOUR website!Solve for y, then the slope is the coefficient of x
 Equations/300807: please help: solve for v: -1/2=2/5v+2/3 :: (-1/2 the whole fraction is negative).1 solutions Answer 215769 by Alan3354(31522)   on 2010-05-05 10:59:12 (Show Source): You can put this solution on YOUR website!solve for v: -1/2=2/5v+2/3 I'll assume it's (2/5)v and not 2/(5v) or 2/(5v + 2/3) Use parentheses, they're free. solve for v: -1/2=(2/5)v + (2/3) Multiply thru by 30 -15 = 12v + 20 12v = -35 v = -35/12
 Exponents/300806: Find the reciprocal and express it in scientific notation. 6.25 x 10^-3 The answer is: 1.6 x 10^2 *please explain the STEPS to get to the answer. 1 solutions Answer 215768 by Alan3354(31522)   on 2010-05-05 10:46:15 (Show Source): You can put this solution on YOUR website!Find the reciprocal and express it in scientific notation. 6.25 x 10^-3 ----------- Use E-3 for 10^-3 ------------------ When you invert 10^a, it's 10^-a, just change the sign 1/6.25E-3 = (1/6.25)E+3 = 0.16E3 = 1.6E2 or 1.6*10^2
 Trigonometry-basics/300781: How Do You Discriminant to determine how many solutions exist ; for y=5x^2+4x+6 and y=-x^2+2x-1 ?1 solutions Answer 215759 by Alan3354(31522)   on 2010-05-05 09:32:28 (Show Source): You can put this solution on YOUR website!A quadratic always has 2 solutions. Sometimes it's the same number twice, but there are always 2. ---------------- Plus, if you find the discriminant, it's only another step to find the solutions.
 Volume/300714: a cylindrical water tank has a diameter of 9 inches and a height of 12 inches. The wate surface is 2.5 inches from the top. About how much water is in the tank1 solutions Answer 215758 by Alan3354(31522)   on 2010-05-05 09:30:47 (Show Source): You can put this solution on YOUR website! You can do the arithmetic.
 Miscellaneous_Word_Problems/300787: What is the last digit in the following product? (2^1)(2^2)(2^3)(2^4)... (2^198)(2^199)(2^200)?1 solutions Answer 215755 by Alan3354(31522)   on 2010-05-05 09:25:46 (Show Source): You can put this solution on YOUR website!What is the last digit in the following product? (2^1)(2^2)(2^3)(2^4)... (2^198)(2^199)(2^200)? -------------- The exponent is the sum of 1 to 200 --> Last digit = 6
 Polynomials-and-rational-expressions/300782: i am haveing trouble factoring this. can you please help me? 1 solutions Answer 215744 by Alan3354(31522)   on 2010-05-05 09:08:54 (Show Source): You can put this solution on YOUR website!What sort of trouble?
 Proportions/300784: The amount of time taken to build a house is inversely proportional to the number of construction workers on the job. If it takes 6 workers 6 days to complete such a job, how many days will it take if the job is done by only 4 workers?1 solutions Answer 215743 by Alan3354(31522)   on 2010-05-05 08:58:41 (Show Source): You can put this solution on YOUR website!6 men * 6 days = 36 man-days 36 man-days/4 men = 9 days
 absolute-value/300763: how small is joeys cock 1 solutions Answer 215742 by Alan3354(31522)   on 2010-05-05 08:53:13 (Show Source): You can put this solution on YOUR website!how[sic] small is joeys[sic] cock[sic] ---------------------- Larger than your brain.
 Polynomials-and-rational-expressions/300777: evaluate : 8 - 5/3 a. 1/32 b. 1/52 c.1/56 d.1/25 1 solutions Answer 215741 by Alan3354(31522)   on 2010-05-05 08:52:02 (Show Source): You can put this solution on YOUR website!evaluate : 8 - 5/3 a. 1/32 b. 1/52 c.1/56 d.1/25 ----------- I did this yesterday. If it's 8 - (5/3), that's 19/3 If it's (8-5)/3, that's 1 ----------------------------- a - d do not match the result. Posting it again will not change anything.
 Triangles/300753: Discuss the relationship between the sides of a right triangle that has acute angle of 30 degrees and 60 degrees?1 solutions Answer 215728 by Alan3354(31522)   on 2010-05-05 06:50:40 (Show Source): You can put this solution on YOUR website!The short side is 1/2 the hypotenuse (hyp*sin(30)) The 3rd side = hyp*sqrt(3)/2 (hyp*sin(60)) ---------------
 Square-cubic-other-roots/300619: it would be greatly appreaciated if i can get help with this monsterous problem...:) bellow is the following problem the square root of 9 x^3 y^4 z^5 then divided by square root of 12 x^2 y^61 solutions Answer 215690 by Alan3354(31522)   on 2010-05-04 21:53:36 (Show Source): You can put this solution on YOUR website!the square root of 9 x^3 y^4 z^5 then divided by square root of 12 x^2 y^6 ------------ = = = =
 Polynomials-and-rational-expressions/300634: i am haveing trouble factoring this. can you please help me? 1 solutions Answer 215688 by Alan3354(31522)   on 2010-05-04 21:47:21 (Show Source): You can put this solution on YOUR website! Common factors are 3 and x^2