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# Recent problems solved by 'Alan3354'

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 Triangles/308524: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle? A. 29cm B.34cm C.37 cm D. 38cm1 solutions Answer 220594 by Alan3354(30993)   on 2010-05-25 20:25:36 (Show Source): You can put this solution on YOUR website!D --------- The 3rd side has to be more than 12-7 and less than 12+7
 Trigonometry-basics/308497: Given: cscx=5/3; secx<0 Find exact values: a. cos (2x) b. tan (2x) c. sin (2x) I have tried using the pythagorean theorem: 3^2+b^2=5^21 solutions Answer 220593 by Alan3354(30993)   on 2010-05-25 20:24:02 (Show Source): You can put this solution on YOUR website!Given: cscx=5/3; secx<0 ------------------------- csc = 1/sin sin(x) = +3/5 --> Quad 1 or 2 ------------- sec<0 --> Quad 2 or 3 --> Quadrant 2 cos(x) = -4/5 ----------------- ----------------- Find exact values: a. cos (2x) = 1 - 2sin^2(x) = 1 - 2*(3/5)^2 = 1- 18/25 = 7/25 ------------ c. sin (2x) = 2 sin(x) cos(x) = 2(3/5)*(-4/5) = -24/25 ----------- b. tan (2x) = sin(2x)/cos(2x) = -24/7
 Coordinate-system/308439: Square CDEF has the vertices C(-1,1), D(2,6), E(7,3), and F(4, -2). What is the area of CDEF?1 solutions Answer 220551 by Alan3354(30993)   on 2010-05-25 17:05:27 (Show Source): You can put this solution on YOUR website!34 sq units. One way to do this: Find the length of a side, I'll do CD Area = CD^2 = 34 ----------------- email via the thank you note if you want another method.
 Geometric_formulas/308430: What is the sum of the odd intergers between 10 and 90? 1 solutions Answer 220534 by Alan3354(30993)   on 2010-05-25 16:48:28 (Show Source): You can put this solution on YOUR website!What is the sum of the odd intergers between 10 and 90? The easy way: There are 40 odd numbers from 10 to 90. Group them in 10 pairs from the outside in. Each pair adds to 100. 11 + 89 = 100 13 + 87 = 100, etc 20 pairs * 100 = 2000 -------------- PS It's integers, not intergers.
 test/308403: How do I solve this without a calculator?: If log 2=p evaluate log 40 I can simplify it down to 10^p=2 but what is 10^x=40??1 solutions Answer 220489 by Alan3354(30993)   on 2010-05-25 14:31:06 (Show Source): You can put this solution on YOUR website!40 = 2*2*10 log(40) = p + p + 1 = 2p + 1
 Linear-equations/308330: Graph and find they x and y intercepts and the slope for 3x = -2 normally in this x would = -.66, but then how would I get my y? I'm confused1 solutions Answer 220450 by Alan3354(30993)   on 2010-05-25 09:56:08 (Show Source): You can put this solution on YOUR website!Graph and find they x and y intercepts and the slope for 3x = -2 normally in this x would = -.66, but then how would I get my y? I'm confused ----------------- 3x = -2 x = -2/3 This is a line parallel to the y-axis, thru the point x = -2/3 For any y, x = -2/3 That's all there is, there is no y term. The slope is infinite, or undefined. There is no y-intercept, it's parallel to the y-axis.
 Problems-with-consecutive-odd-even-integers/308332: The sum of 5 consecutive integers is 1,000. What is the value of the greatest of these integers? 1 solutions Answer 220449 by Alan3354(30993)   on 2010-05-25 09:51:16 (Show Source): You can put this solution on YOUR website!The sum of 5 consecutive integers is 1,000. What is the value of the greatest of these integers? ------------------ 1000/5 = 200, the middle number --> 198, 199, 200, 201, 202
 Rational-functions/308318: Solve each equation by factoring. x^2-11=01 solutions Answer 220442 by Alan3354(30993)   on 2010-05-25 09:08:40 (Show Source): You can put this solution on YOUR website!That's not the best approach. ------------
 Travel_Word_Problems/308322: If I am riding 14mph….how long will it take to go 11 miles? Can you show me how to get the answer?1 solutions Answer 220440 by Alan3354(30993)   on 2010-05-25 08:58:21 (Show Source): You can put this solution on YOUR website!You only have 2 numbers to work with. Do you think you should add them. --------------- 11 + 14 = 25 (minutes?) But, if you go faster, it would take longer, so that makes no sense. ------------------ If you subtract them, 14 - 11 = 3 (hours?). But if you go farther, it takes less time, so that won't work either. ------------------ What's your guess? Give it a try.
 Circles/308309: What is the formula please to find the radius of a sphere when you know the volume? Thanks for your help with this.1 solutions Answer 220439 by Alan3354(30993)   on 2010-05-25 08:48:24 (Show Source): You can put this solution on YOUR website!V = 4*pi*r^3/3 r^3 = 3V/(4*pi) r = cube root(3V/(4pi)) -------------------------- The other tutor let the 4 get away.
 logarithm/308319: Condense into a single logarithm: 6log base of u + 2log base of v1 solutions Answer 220438 by Alan3354(30993)   on 2010-05-25 08:44:49 (Show Source): You can put this solution on YOUR website!Condense into a single logarithm: 6log base of u + 2log base of v --------- What is the base? log base of u? log base of v?
 test/308238: What is the product of the complex # (3+i) and (3-i)1 solutions Answer 220437 by Alan3354(30993)   on 2010-05-25 08:40:29 (Show Source): You can put this solution on YOUR website!What is the product of the complex # (3+i) and (3-i) ---------------------- = 3^2 + i^2 + 3i - 3i = 9-1 = 8
 Coordinate-system/308308: what is the y-coordinate of a point (5,y) that lies on the graph of the function? x y -1 6 0 4 1 2 2 0 3 -21 solutions Answer 220429 by Alan3354(30993)   on 2010-05-25 06:32:55 (Show Source): You can put this solution on YOUR website!What function?
 Linear-equations/308210: I need to find an equation of the line containing the given pair of points. (-6,0) (0,1)1 solutions Answer 220363 by Alan3354(30993)   on 2010-05-24 21:31:21 (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
 Linear-equations/308109: how do u I solve by subsitution method for x+4y=41 4x+3y=601 solutions Answer 220359 by Alan3354(30993)   on 2010-05-24 21:21:27 (Show Source): You can put this solution on YOUR website!how do u I solve by subsitution method for x+4y=41 4x+3y=60 ----------- Solve the 1st eqn for x, since its coefficient is 1. x = 41-4y ---------- Sub for x in the 2nd eqn 4x + 3y = 60 4(41-4y) + 3y = 60 solve for y, then sub for y into either eqn and find x.
 Travel_Word_Problems/308214: A freight train leaves a sterling traveling east at 40 miles per hour. Two hours later a passenger train also headed east, leaves Sterling on a parallel track at 60 miles per hour. How FAR are the trains from Sterling will the passenger train catches up to the freight train.1 solutions Answer 220356 by Alan3354(30993)   on 2010-05-24 21:13:57 (Show Source): You can put this solution on YOUR website!A freight train leaves a sterling traveling east at 40 miles per hour. Two hours later a passenger train also headed east, leaves Sterling on a parallel track at 60 miles per hour. How FAR are the trains from Sterling will the passenger train catches up to the freight train. --------------------- In 2 hours, the freight train goes 80 miles (2*40) The other train gains on the freight train at 20 mph (60-40) The 2nd train catches the 1st in 4 hours (80/20) 4*60 = 240 miles 6*40 = 240 miles
 logarithm/308159: Use properties of exponents to solve: 3^(x-2)81^(x)=(1/3)^(x-3) Im lost on this problem1 solutions Answer 220354 by Alan3354(30993)   on 2010-05-24 21:11:17 (Show Source): You can put this solution on YOUR website!Use properties of exponents to solve: 3^(x-2)81^(x)=(1/3)^(x-3) ------------ 81 = 3^4 1/3 = 3^-1 ----------- 5x-2 = 3-x 6x = 5 x = 5/6
 Angles/308211: use diagram to find the measure of each indicated angle1 solutions Answer 220351 by Alan3354(30993)   on 2010-05-24 21:04:12 (Show Source): You can put this solution on YOUR website!There's no diagram.
 Quadratic_Equations/308176: simplest radical form 1) a=-2 b=8 c=5 2)a=4 b=2 c=-5 3)a=4 b=-10 c=5 4)a=3/2 b=1/3 c=2/3 5)a=4 b=-.6 c=-.51 solutions Answer 220335 by Alan3354(30993)   on 2010-05-24 19:46:00 (Show Source): You can put this solution on YOUR website!What does that mean? What do you want to do?
 Inequalities/307942: Convert any temperature given to you in degrees Celsius to the same temperature in degrees Fahrenheit, ºF = 2ºC + 30. How would you modify this equation so you could take any temperature given to you in degrees Fahrenheit and change it to degrees Celsius? 1 solutions Answer 220212 by Alan3354(30993)   on 2010-05-24 11:04:03 (Show Source): You can put this solution on YOUR website!Convert any temperature given to you in degrees Celsius to the same temperature in degrees Fahrenheit, ºF = 2ºC + 30. How would you modify this equation so you could take any temperature given to you in degrees Fahrenheit and change it to degrees Celsius? ---------------- F = 1.8C + 32 ------------- C = (F-32)/1.8 or C = (F-32)*5/9 ----------------- I don't know what this is about: ºF = 2ºC + 30
 Circles/307925: x^2+y^2-8x-16y+44=0 i need to find the center and radius of this circle.1 solutions Answer 220201 by Alan3354(30993)   on 2010-05-24 10:04:59 (Show Source): You can put this solution on YOUR website! x^2+y^2-8x-16y+44=0 i need to find the center and radius of this circle. ------------------------ Rearrange it into "standard form", (x-h)^2 + (y-k)^2 = r^2 Complete both squares for x and y ---> center at (h,k) = (4,8) radius = 6
 Linear-equations/307754: graph the line with slope 4/3 that passes through the point (1,2)1 solutions Answer 220127 by Alan3354(30993)   on 2010-05-23 20:48:55 (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
 Linear-equations/307759: find the equation of a line perpendicular to 4x+5y=10 and passes through (-1,3)1 solutions Answer 220126 by Alan3354(30993)   on 2010-05-23 20:47:54 (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
 Graphs/307742: Graph the line with slope of 2 passing through the point (2,-5)1 solutions Answer 220115 by Alan3354(30993)   on 2010-05-23 20:20:48 (Show Source): You can put this solution on YOUR website!done
 Graphs/307717: I don't know how to sketch a graph and find three ordered pairs that satisfy the equation : y=2x-61 solutions Answer 220098 by Alan3354(30993)   on 2010-05-23 19:09:07 (Show Source): You can put this solution on YOUR website!I do.
 Rectangles/307630: please explain how to calculate the height, width, and length of a rectangle given only the numerical volume value of 90?1 solutions Answer 220097 by Alan3354(30993)   on 2010-05-23 19:08:22 (Show Source): You can put this solution on YOUR website!90 what? A rectangle has only 2 dimensions, you listed 3. Pick 2, try again. And, a rectangle does not have a volume, it's a plane figure.
 test/307708: A water glass is shaped like a cylinder with height 6in. and diameter 2in. How many times as much water can a glass twice as tall and twice as wide hold? 1 solutions Answer 220096 by Alan3354(30993)   on 2010-05-23 19:01:04 (Show Source): You can put this solution on YOUR website!A water glass is shaped like a cylinder with height 6in. and diameter 2in. How many times as much water can a glass twice as tall and twice as wide hold? ----------------------------- The volume of a cylinder is a function of height, and of the radius squared. Doubling the height doubles the volume. 2x the radius --> 4 times the volume. 2x * 4x = 8 times the volume. -------------------------------- There's no need to calculate the volumes, since it's not asked for. The answer is 8x, 8 times the volume. NOT 8 times more, 8 times as much.
 Quadratic-relations-and-conic-sections/307710: graph y-3--1/8(x+2)^2, I need help finding the coordinates of the vertex, focus, and the equation of the directrix. please help!!!!!1 solutions Answer 220095 by Alan3354(30993)   on 2010-05-23 18:57:33 (Show Source): You can put this solution on YOUR website!I don't see an equal sign, makes it more difficult. dl the FREE graph software at http://www.padowan.dk.com It'll help.
 Equations/307703: 2x + 3/2y + 3z = 6 . It wants me to find the intercepts.. How do i do this?1 solutions Answer 220094 by Alan3354(30993)   on 2010-05-23 18:51:30 (Show Source): You can put this solution on YOUR website!Assuming it's (3/2)y and not 3/(2y) (parentheses are free, use some): -------- To find the x-axis int, set y & z = 0 2x = 3 x = 3 --> (3,0,0) -------------------- Do the same for the y and z intercepts. Set the others to zero.
 Quadratic_Equations/307697: x^2 + 4 = 01 solutions Answer 220090 by Alan3354(30993)   on 2010-05-23 18:39:10 (Show Source): You can put this solution on YOUR website!Do you want to solve for x? You should say. x^2 = -4 x = ± 2i
 Geometry_Word_Problems/307698: Whats the area of a square with an apothem length of 15cm1 solutions Answer 220089 by Alan3354(30993)   on 2010-05-23 18:37:26 (Show Source): You can put this solution on YOUR website!The sides are 30 cm. --> area = 30*30 = 900 sq cm