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Alan3354 answered: 30973 problems
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Length-and-distance/639449: Find the exact directed distance from the line 4x+3y=5 to the point (2,-5). 1 solutions Answer 402740 by Alan3354(30993)   on 2012-08-21 09:13:39 (Show Source): You can put this solution on YOUR website! Find the exact directed distance from the line 4x+3y=5 to the point (2,-5). ----------------- It's the distance from the point perpendicular to the line. --- Find the slope of the line 4x+3y=5 y = (-4/3)x + 5/3 Slope m = -4/3 The slope of lines perpendicular is the negative inverse = 3/4 --- Find the eqn of the perpendicular line thru the point Use y = mx + b and the point to find b -5 = (3/4)*2 + b b = -13/2 --> y = (3/4)x - 7/2 thru the point perpendicular to the given line Find the intersection of the 2 lines by solving for x & y of the system y = (3/4)x - 13/2 y = (-4/3)x + 5/3 ----- (-4/3)x + 5/3 = (3/4)x - 13/2 -16x + 20 = 9x - 78 x = 98/25 --------- y = -89/25 ------------------ Get the distance between the 2 points d = 12/5 = 2.4 units

test/639434: The imaging number specified i is the square root of; answer 3 or -1 or 1 or 2 1 solutions Answer 402737 by Alan3354(30993)   on 2012-08-21 08:43:03 (Show Source): You can put this solution on YOUR website! The imaging number specified i is the square root of; ------------ It's called an imaginary number, not imaging. ---------- Using i is a convention, an agreement. i or I is used for current in electrical calculations, so j is used instead of i for

Geometry_Word_Problems/639454: A square's side is increased by 9 yards, which corresponds to an increase in the area by 333 square yards. How many yards is the side of the initial square? 1 solutions Answer 402735 by Alan3354(30993)   on 2012-08-21 08:39:44 (Show Source): You can put this solution on YOUR website! A square's side is increased by 9 yards, which corresponds to an increase in the area by 333 square yards. How many yards is the side of the initial square? -------------------- s = original side (s+9)*(s+9) - s^2 = 333 18s + 81 = 333 s = 14 -------------

Geometry_Word_Problems/639244: How do I find the perimeter of a rectangle with an area of 378 square feet? I know Perimeter is P=2(L+W), but I don't know where to begin to figure out my length & width. Thank you 1 solutions Answer 402687 by Alan3354(30993)   on 2012-08-20 20:56:28 (Show Source): You can put this solution on YOUR website! How do I find the perimeter of a rectangle with an area of 378 square feet? I know Perimeter is P=2(L+W), but I don't know where to begin to figure out my length & width. --------------- It's not possible to find a unique solution. L*W = 378 L = 378/W --- 1 & 378 2 & 189 3 & 126 6 & 63 pi & 378/pi etc

Equations/639241: what integer represent a descent of 20ft/min 1 solutions Answer 402683 by Alan3354(30993)   on 2012-08-20 20:50:36 (Show Source): You can put this solution on YOUR website! what integer represent a descent of 20ft/min ------- 20

test/639302: A = 1/2bh, for h 1 solutions Answer 402681 by Alan3354(30993)   on 2012-08-20 20:49:20 (Show Source): You can put this solution on YOUR website! A = 1/2bh, for h Multiply by 2 Divide by b

Exponents/639253: 4r^3 divided by 3r i dont know where to round this i am having trouble with this and also 2x^4 divided by 4x^3 what do you do when the larger whole number is on bottom 1 solutions Answer 402680 by Alan3354(30993)   on 2012-08-20 20:48:31 (Show Source): You can put this solution on YOUR website! 4r^3 divided by 3r i dont know where to round this There's no rounding ------------ i am having trouble with this and also 2x^4 divided by 4x^3 what do you do when the larger whole number is on bottom

Polynomials-and-rational-expressions/639304: How do I factor 25y^2 - 10y + 1? I thought it was a perfect square trinomial, but that doesn't make sense because of the + 1. And I tried factoring it out by taking 5y out, but that doesn't match the answer in the back of my book. I don't know how they got that answer. The answer to the question is (5y - 1)^2. 1 solutions Answer 402674 by Alan3354(30993)   on 2012-08-20 20:36:32 (Show Source): You can put this solution on YOUR website! How do I factor 25y^2 - 10y + 1? I thought it was a perfect square trinomial, but that doesn't make sense because of the + 1. And I tried factoring it out by taking 5y out, but that doesn't match the answer in the back of my book. I don't know how they got that answer. The answer to the question is (5y - 1)^2. --------------------- What's wrong with that? -1*-1 = +1

Geometric_formulas/639305: how many cubic yards of material are needed for the foundation of a barn 40 by 80 feet., If the foundation is 2 feet thick and 12 feet high? 1 solutions Answer 402673 by Alan3354(30993)   on 2012-08-20 20:35:30 (Show Source): You can put this solution on YOUR website! how many cubic yards of material are needed for the foundation of a barn 40 by 80 feet., If the foundation is 2 feet thick and 12 feet high? ------------ That's 4 dimensions, 1 too many.

Linear-equations/639306: please help me write a slope-intercept for I tried doing y-6=7/9(x+5) 1 solutions Answer 402671 by Alan3354(30993)   on 2012-08-20 20:34:34 (Show Source): You can put this solution on YOUR website! duplicate, except for the sign

Linear-equations/639300: please help me write the slope-intercept equation so far I did y-6=7/9(x+5) 1 solutions Answer 402670 by Alan3354(30993)   on 2012-08-20 20:33:36 (Show Source): You can put this solution on YOUR website! please help me write the slope-intercept equation if m= 7/9, and it passes through(5,6) so far I did y-6=7/9(x+5) ---------- You subtracted the 6, but added the 5 ---- Use y = mx + b and the point to find b 6 = (7/9)*5 + b b = 19/9 --> y = 7x/9 + 19/9 ================== Or, y-6 = (7/9)*(x - 5)

Geometry_Word_Problems/639274: If one revolution, how much farther does a point 10 cm from the center of a record travel than a point 3 cm from the center? 1 solutions Answer 402668 by Alan3354(30993)   on 2012-08-20 20:25:50 (Show Source): You can put this solution on YOUR website! If one revolution, how much farther does a point 10 cm from the center of a record travel than a point 3 cm from the center? --------- 2pi times the difference = 14pi cm

Equations/639292: 1/2x x=5 1 solutions Answer 402666 by Alan3354(30993)   on 2012-08-20 20:24:11 (Show Source): You can put this solution on YOUR website! 1/2x x=5 ========= Do you have a question?

Travel_Word_Problems/639297: the world's fastest train travels about 162 miles per hour. Estimate how far the train travels in 4.75 hours. would you take 162 x 4.75? 1 solutions Answer 402665 by Alan3354(30993)   on 2012-08-20 20:23:32 (Show Source): You can put this solution on YOUR website! the world's fastest train travels about 162 miles per hour. Estimate how far the train travels in 4.75 hours. would you take 162 x 4.75? ------------ I would. d = r*t in miles

test/639096: 2x - 3y = 18 1 solutions Answer 402644 by Alan3354(30993)   on 2012-08-20 18:13:34 (Show Source): You can put this solution on YOUR website! 2x - 3y = 18 -------- Ok, great. Thx for letting us know.

Miscellaneous_Word_Problems/639211: How do i figure what size box i need to ship 4 pieces that are 4 ft long and 8 inches wide?? 1 solutions Answer 402642 by Alan3354(30993)   on 2012-08-20 18:12:13 (Show Source): You can put this solution on YOUR website! How do i figure what size box i need to ship 4 pieces that are 4 ft long and 8 inches wide?? ------------- If it's a solid object, as most things are, it has 3 dimensions, not just 2.

Trigonometry-basics/639170: Directions are to solve each equation on the interval zero to two pi 4sin^2x= 1 1 solutions Answer 402637 by Alan3354(30993)   on 2012-08-20 17:56:00 (Show Source): You can put this solution on YOUR website! Directions are to solve each equation on the interval zero to two pi 4sin^2x= 1 ------------ There's only one equation shown. ---- Divide by 4, then take the square root.

Distributive-associative-commutative-properties/639204: which property is -8*9=9*(-8) 1 solutions Answer 402633 by Alan3354(30993)   on 2012-08-20 17:46:44 (Show Source): You can put this solution on YOUR website! which property is -8*9=9*(-8) ------------- There are 3 or 4 properties. Look it up. Answering that is not tutoring, or showing you how to do anything.

Travel_Word_Problems/639196: A freight train traveled to Las Vegas and back. On the trip there it traveled 50 mph and on teh return trip it went 40 mph. How long did the trip there take if the return trip took 15 hours? 1 solutions Answer 402625 by Alan3354(30993)   on 2012-08-20 17:25:14 (Show Source): You can put this solution on YOUR website! A freight train traveled to Las Vegas and back. On the trip there it traveled 50 mph and on teh return trip it went 40 mph. How long did the trip there take if the return trip took 15 hours? ----------- On the return, it was 15 hrs @ 40 mi/hr d = r*t ========= Find the distance. For the trip going, d = r*t t = d/r

Exponents/639191: if x²=x³, give the two possible values for x 1 solutions Answer 402622 by Alan3354(30993)   on 2012-08-20 17:16:16 (Show Source): You can put this solution on YOUR website! if x²=x to the power of 3, give the two possible values for x ------ x = 0, 0, 1 ------ A 3rd order equation always has 3 solutions. Sometimes it's the same number more than once. In this case, x = 0 with a multiplicity of 2, and x = 1.

Linear-systems/639160: Solve. 2x - y - 3z = -1 2x - y + z = -9 x + 2y - 4z = 17 I got so far as; 2x - y - 3z = -1 4z = -8 3y - 5z = 35 Please help. 1 solutions Answer 402604 by Alan3354(30993)   on 2012-08-20 16:16:04 (Show Source): You can put this solution on YOUR website! Solve. 2x - y - 3z = -1 2x - y + z = -9 x + 2y - 4z = 17 I got so far as; 2x - y - 3z = -1 4z = -8 3y - 5z = 35 Please help. ================== You have z = -2 from eqn 1 & 2. 4z = -8 z = -2 -------- 3y - 5z = 35 **** I don't know about that. --- 2x - y + z = -9 x + 2y - 4z = 17 --- 2x - y + z = -9 2x + 4y -8z = 34 times 2 ------------------ Subtract -5y + 9z = -43 Sub for z -5y - 18 = -43 y = 5 ------- Sub for y & z in any eqn to find x.

Trigonometry-basics/639116: If a+b = 90degree, Find max value of (sin a.sin b) 1 solutions Answer 402577 by Alan3354(30993)   on 2012-08-20 13:57:38 (Show Source): You can put this solution on YOUR website! duplicate

Travel_Word_Problems/638898: If the truck he was in was moving at a rate of 30 km/hr and the bus ride lasted for 13 hours, how far did the soldiers take him from home? How far in miles? Show your work. 1 solutions Answer 402464 by Alan3354(30993)   on 2012-08-19 20:30:30 (Show Source): You can put this solution on YOUR website! If the truck he was in was moving at a rate of 30 km/hr and the bus ride lasted for 13 hours, how far did the soldiers take him from home? ---- d = r*t ---------- How far in miles? Show your work. Convert kilometers to miles.

Quadratic-relations-and-conic-sections/638866: for the function f(x)=x^3-27x find the maximum and minimum points 1 solutions Answer 402433 by Alan3354(30993)   on 2012-08-19 18:20:01 (Show Source): You can put this solution on YOUR website! for the function f(x)=x^3-27x find the maximum and minimum points ----------- f(x)=x^3-27x f'(x) = 3x^2 - 27 = 0 x = -3, +3 -------------- f''(x) = 6x ------ f''(-3) = -18 --> Local max at x = -3 ----------------- f''(3) = 18 --> local min at x = 3

Rate-of-work-word-problems/638861: "Parking in a student lot costs $1.00 for the first half an" -- because it falls within my area of expertise. I just need a few more details about your situation and I will get to work! 1 solutions Answer 402431 by Alan3354(30993)   on 2012-08-19 18:14:50 (Show Source): You can put this solution on YOUR website! "Parking in a student lot costs $1.00 for the first half an" -- because it falls within my area of expertise. I just need a few more details about your situation and I will get to work! -------------- Great! An expert on student parking!!! eleventy 11!!! We'll wait here.

Quadratic_Equations/638862: I need help solving (y-1)^2=2x+8 1 solutions Answer 402430 by Alan3354(30993)   on 2012-08-19 18:11:50 (Show Source): You can put this solution on YOUR website! I need help solving (y-1)^2=2x+8 ----------- I can see why. You have 1 equation, and 2 variables. --> no unique solution You can pick an infinite number of values for x and find y, or vice versa.

Trigonometry-basics/638856: if cos x= 5/13, x in quadrant 2, FIND SIN X AND TAN X 1 solutions Answer 402425 by Alan3354(30993)   on 2012-08-19 17:52:18 (Show Source): You can put this solution on YOUR website! if cos x= 5/13, x in quadrant 2, FIND SIN X AND TAN X ----------- Not possible, cosine is negative in Q2

Trigonometry-basics/638857: Find the length of an arc and area of a sector of a circle of radius 30 cm, central angle 0=1,2 radians 1 solutions Answer 402424 by Alan3354(30993)   on 2012-08-19 17:51:01 (Show Source): You can put this solution on YOUR website! Find the length of an arc and area of a sector of a circle of radius 30 cm, central angle 0=1,2 radians ---------- Arc length = r*angle = 30*1.2 = 36 cm

Quadratic_Equations/638854: I'm doing a math final that needs to be passed in tomorrow. I really needed to pass this class because it is my third time taking this one class. So I was wondering if someone could answer a couple questions for me? "write an equation of the line with a slope of -2/5 and a y intercept of 3. If you could get back to me as soon as you can I would greatly appreciate it. 1 solutions Answer 402422 by Alan3354(30993)   on 2012-08-19 17:45:57 (Show Source): You can put this solution on YOUR website! "write an equation of the line with a slope of -2/5 and a y intercept of 3. ------------ Use the slope-intercept form, y = mx + b, where m = slope and b = y-int ---- y = (-2/5)x + 3 No work needed, just write it.

Mixture_Word_Problems/638841: How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 12% nitrogen? 1 solutions Answer 402421 by Alan3354(30993)   on 2012-08-19 17:19:43 (Show Source): You can put this solution on YOUR website! Do it like this one: ------ I need 150 gallons of 10% solution but all i have is 5% and 20% solution. How much of the 5% and 20% solution do i need in order ti create 150 gallons of 10% solution? =============== t = amount of 20% f = amount of 5% ========== t + f = 150 20t + 5f = 10*150

Polynomials-and-rational-expressions/638842: Please help me solve this equation: "What is the product of -3x^2y and (5xy^2 + xy)?" My answer was -15x^2y^2 - 3x^2y, but it was wrong. What would be the step by step solution to solving this type of equation? 1 solutions Answer 402420 by Alan3354(30993)   on 2012-08-19 17:18:17 (Show Source): You can put this solution on YOUR website! Please help me solve this equation: "What is the product of -3x^2y and (5xy^2 + xy)?" My answer was -15x^2y^2 - 3x^2y, but it was wrong. What would be the step by step solution to solving this type of equation? ----------------- "What is the product of -3x^2y and (5xy^2 + xy)?" ---- That's not an equation. Equations have equal signs. Equal, equate, equation.