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# Recent problems solved by 'Alan3354'

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 Linear-equations/266526: Determine whether the graphs of the pair of lines are parallel x+8=y y-x=-4 What is the slope of the line x+8=y? What is the slope of the line y-x=-4? Are the graphs of the given equations parallel?1 solutions Answer 195859 by Alan3354(30993)   on 2010-02-07 10:20:44 (Show Source): You can put this solution on YOUR website!Put the eqns in slope-intercept form, y = mx + b That means solve for y. ------------------- m is the slope ----------------- If the eqns have the same slope, they're parallel email via the TY note for help, or to check your work
 Polynomials-and-rational-expressions/266527: find the reciprocal and express it in scientific notation. 6.25*10^-3 Please help1 solutions Answer 195857 by Alan3354(30993)   on 2010-02-07 10:17:48 (Show Source): You can put this solution on YOUR website!find the reciprocal and express it in scientific notation. 6.25*10^-3 ----------- 1/6.25*10^-3 = (1/6.25)*10^3 or (1/6.25)E3 = 0.16E3 = 1.6E2 ------- = 1.6*10^2 if you prefer inconvenience
 Linear-equations/266530: Graph the function on paper f(x)=3-1x11 solutions Answer 195856 by Alan3354(30993)   on 2010-02-07 10:15:21 (Show Source): You can put this solution on YOUR website!What is 1x1 ?
 Linear-systems/266549: Why you are using minus(-)instead of plus(+) in substitution?1 solutions Answer 195853 by Alan3354(30993)   on 2010-02-07 10:07:42 (Show Source): You can put this solution on YOUR website!Why you are using minus(-)instead of plus(+) in substitution? ----------- Who said I did?
 Linear-equations/266525: Find the slope and the y-intercept y=3.2x-91 solutions Answer 195851 by Alan3354(30993)   on 2010-02-07 10:03:30 (Show Source): You can put this solution on YOUR website!It's in slope-intercept form, y = mx + b m is the slope b is the y-intercept
 Linear-equations/266529: find the function f(x)=x31 solutions Answer 195850 by Alan3354(30993)   on 2010-02-07 10:02:29 (Show Source): You can put this solution on YOUR website!find the function f(x)=x3 ----------- I found it. It's 2 lines up.
 Linear-systems/266555: 3x+4y=-14 5x-2y=-61 solutions Answer 195847 by Alan3354(30993)   on 2010-02-07 10:01:25 (Show Source): You can put this solution on YOUR website!3x+4y=-14 5x-2y=-6 ----------- Multiply the 2nd eqn by 2, then add it to the 1st eqn. email me via the thank you note for assistance, or to check your work
 Geometry_Word_Problems/266537: A rectangle with sides of 30- and 40- units is placed with its center at the origin of a Cartesian coordinate system. When the rectangle is rotated around the origin, what is the maximum y- value any vertex of the rectangle will achieve?1 solutions Answer 195845 by Alan3354(30993)   on 2010-02-07 09:59:51 (Show Source): You can put this solution on YOUR website!25 ---- The distance from the Origin to all vertices is 25. A vertex is at (15,20). The distance to it is sqrt(15^2 + 20^2) = 25.
 Geometry_Word_Problems/266538: How many 2 by 2 by 2 cubes must be added to an 8 by 8 by 8 cube to make a 10 by 10 by 10 cube ? 1 solutions Answer 195824 by Alan3354(30993)   on 2010-02-07 09:03:48 (Show Source): You can put this solution on YOUR website!10^3 = 1000 8^3 = 512 ------------ Subtract 488 2^3 = 8, divide by 8 --------- 488/8 = 61 cubes
 Linear-equations/266532: Find the slope and the y-intercept of the line 5x=7y+14 The slope is? The y-intercept is?1 solutions Answer 195818 by Alan3354(30993)   on 2010-02-07 08:30:41 (Show Source): You can put this solution on YOUR website!Put the eqn in slope-intercept form, y = mx + b That means solve for y. m is the slope b is the y-intercept I don't see any point in me doing it, but I'll check your answers if you email me via the thank you note.
 Travel_Word_Problems/266456: how many inches are in 4 1/2 feet?1 solutions Answer 195780 by Alan3354(30993)   on 2010-02-06 21:39:40 (Show Source): You can put this solution on YOUR website!4.5*12
 Numbers_Word_Problems/266327: product of two numbers equals 34. the difference between the two numbers is 15. Can you help? 1 solutions Answer 195779 by Alan3354(30993)   on 2010-02-06 21:39:00 (Show Source): You can put this solution on YOUR website!34 = 17*2, its only factors Narrows the possibilities.
 Inequalities/265762: If X>2, then (X^2-X-6)/(X^2-4)= ? I'm told the answer is (X-3)/(X-2) but I can't figure out HOW! PLEASE show step-by-step how they came up with that.1 solutions Answer 195770 by Alan3354(30993)   on 2010-02-06 21:16:16 (Show Source): You can put this solution on YOUR website!(X^2-X-6)/(X^2-4)= ? ---------------------- = (x-3)*(x+2)/((x-2)*(x+2)) Cancel the x+2 terms = (x-3)/(x-2)
 Exponential-and-logarithmic-functions/266423: (1/4)^x= 8^x-11 solutions Answer 195766 by Alan3354(30993)   on 2010-02-06 21:03:33 (Show Source): You can put this solution on YOUR website!(1/4)^x= 8^x-1 x*log(1/4) = (x-1)*log(8) x = (x-1)*log(8)/log(1/4) x = (x-1)*(-3/2) 2x = 3 - 3x x = 3/5
 Quadratic_Equations/266397: Hi, Can someone please give me a hand witht this one? b^2+2b-24=0 Thanks1 solutions Answer 195715 by Alan3354(30993)   on 2010-02-06 18:46:33 (Show Source): You can put this solution on YOUR website!24 = 4*6
 Trigonometry-basics/266343: I need to prove the identity (1+tan^2x)cot^2x=csc^2x1 solutions Answer 195688 by Alan3354(30993)   on 2010-02-06 14:32:26 (Show Source): You can put this solution on YOUR website!(1+tan^2x)cot^2x=csc^2x ----------------------- cot^2 + 1 = csc^2 Multiply by sin^2 cos^2 + sin^2 = 1 Is that sufficient?
 Linear-equations/266345: its too hard im almost gonna quit school because of it i cant get it i tried and nothing ots just the most confusong thing in my life ugh HELP!!1 solutions Answer 195684 by Alan3354(30993)   on 2010-02-06 14:23:23 (Show Source): You can put this solution on YOUR website!Otherwise ok?
 Geometric_formulas/266339: If AC = 206 find the value of x. Then find AB and BC 1 solutions Answer 195681 by Alan3354(30993)   on 2010-02-06 13:58:49 (Show Source): You can put this solution on YOUR website!insufficient data
 Linear-equations/266309: Passing through (-4,2) and perpendicular to the line whose equation is y= 1/3x+7 Passing through (-2,-7) and parallel to the line whose equation is y= -5x+41 solutions Answer 195678 by Alan3354(30993)   on 2010-02-06 12:31:49 (Show Source): You can put this solution on YOUR website!Do them like this: 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 + 13 The slope, m = -3 ------------------ The slope of lines parallel have the same slope. 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.
 Expressions-with-variables/266313: Solve the following system of equations. x + 2y = 9 (1) x = 4 - 2y (2)1 solutions Answer 195677 by Alan3354(30993)   on 2010-02-06 12:29:59 (Show Source): You can put this solution on YOUR website!There's no solution -------------- x + 2y = 9 (1) x = 4 - 2y (2) --------------- x + 2y = 9 (1) x + 2y = 4 (2) 2 parallel lines, no intersection
 Linear-equations/266298: how do i solve this problem? 3 less than or equal to X less than 8 1 solutions Answer 195674 by Alan3354(30993)   on 2010-02-06 11:32:43 (Show Source): You can put this solution on YOUR website!It's already solved. 3<=x<8
 Graphs/266299: How do you solve: Determine the x-intercept and y-intercept of 3x-8y=12 Thank you 1 solutions Answer 195673 by Alan3354(30993)   on 2010-02-06 11:16:38 (Show Source): You can put this solution on YOUR website!Determine the x-intercept and y-intercept of 3x-8y=12 set x = 0 y = -3/2 (y-intercept) --------- at y = 0, x = 4 (x-intercept)
 Sequences-and-series/266261: is 1,0.3,0.009,0.0027,0.0081 a geometric sequence or a arithmetic and what number is multiplied to get to the next 1 solutions Answer 195666 by Alan3354(30993)   on 2010-02-06 09:38:19 (Show Source): You can put this solution on YOUR website!It appears to be geometric, but some of the terms don't fit. If it's 1, 0.3, 0.09, 0.027, 0.0081 then it's multiplied by 0.3
 Numbers_Word_Problems/266275: the sum of two intergers is 30. ten times one interger is 5 times the other interger. find the intergers1 solutions Answer 195665 by Alan3354(30993)   on 2010-02-06 09:24:48 (Show Source): You can put this solution on YOUR website!x = 2y x + y = 30 y = 10 x = 20 ------- They're inte-gers, not inter-gers.
 Equations/266278: When you look at a quadratic equation, how do you know which method to use to solve it. (square root property, quadratic formula, discriminant, zero property, factoring, completeting the square) Are there clues to look for in the problem itself?1 solutions Answer 195664 by Alan3354(30993)   on 2010-02-06 09:23:28 (Show Source): You can put this solution on YOUR website!If you recognize that it's a square, that's the easiest If you see it's factorable, use that. The quadratic equation always works. Never waste time on completing the square, unless the problem asks for it.
 Geometry_Word_Problems/266263: the sum of the measures of the angles in triangle is 180 degrees. in a quadrilateral, the sum is 360 degrees.find an equation relating n , the number of sides in a polygon, and the sum of its angles,S.1 solutions Answer 195661 by Alan3354(30993)   on 2010-02-06 09:18:03 (Show Source): You can put this solution on YOUR website!S = 180*(n-2)
 Square-cubic-other-roots/266277: How could I convert 32 cubic feet/second to mm/ per year. This is a water budget problem and all my units need to be in mm/year. The area is 10576 hectares.? hectares to sq meters, cubic feet to cubic meters? how do i set it up and cancel out to get to meters? m3/m2 subtract coefficients to get meters? 1 solutions Answer 195658 by Alan3354(30993)   on 2010-02-06 09:11:12 (Show Source): You can put this solution on YOUR website!cubic feet is volume, mm is length or distance. There's no conversion. --------------- Volume is depth times area, if that's what you mean. Try www.onlineconversion.com email me via the thank you note for help
 Miscellaneous_Word_Problems/266274: An objects altitude in meters is given by the polynomial h+vt-9.8t^2, where h is the height in meters from which the launce occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 190 m tall. If the initial speed is 40 m/sec, how high above the ground will th pebble be after 2 seconds? Round result to the nearest tenth of a meter.1 solutions Answer 195656 by Alan3354(30993)   on 2010-02-06 08:39:18 (Show Source): You can put this solution on YOUR website!h+vt-9.8t^2 h(t) = h+vt-9.8t^2 h(2) = 190 + 40*2 - 9.8*4 h(2) = 309.2 meters -------------------- On Earth, the acceleration is 9.8 m/sec/sec The equation should be h(t) = h+vt - 4.9t^2
Travel_Word_Problems/266273: a ball is tossed int the air from a height of 12ft at 16ft per sec, how long does it take to reach the earth?
1 solutions

Answer 195655 by Alan3354(30993)   on 2010-02-06 08:35:04 (Show Source):
You can put this solution on YOUR website!
h(t) = -16t^2 + 16t + 12
-4t^2 + 4t + 3 = 0
 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=64 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.5, 1.5. Here's your graph:

 Equations/266171: The latent heat of fusion is 79.8 cal/grams. How much ice can we melt with 1000 calories of heat?1 solutions Answer 195600 by Alan3354(30993)   on 2010-02-05 20:17:01 (Show Source): You can put this solution on YOUR website!1000/79.8 grams
 Numbers_Word_Problems/266176: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.1 solutions Answer 195588 by Alan3354(30993)   on 2010-02-05 19:07:38 (Show Source): You can put this solution on YOUR website!Reversing the digits of a 2 digit numbers changes the number by 9 times the difference between the digits. --------------- U + T = 10 U - T = 4 (36/9) ---------- Add 2U = 14 U = 7 T = 3 ------ --> 37