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Alan3354 answered: 31497 problems
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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(31518)   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 problem 1 solutions Answer 220354 by Alan3354(31518)   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 angle 1 solutions Answer 220351 by Alan3354(31518)   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=-.5 1 solutions Answer 220335 by Alan3354(31518)   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(31518)   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(31518)   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(31518)   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(31518)   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(31518)   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-6 1 solutions Answer 220098 by Alan3354(31518)   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(31518)   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(31518)   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(31518)   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(31518)   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 = 0 1 solutions Answer 220090 by Alan3354(31518)   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 15cm 1 solutions Answer 220089 by Alan3354(31518)   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

logarithm/307693: What is the logarithmic form of f = 18(-1/2)? 1 solutions Answer 220088 by Alan3354(31518)   on 2010-05-23 18:34:29 (Show Source): You can put this solution on YOUR website! 18*(-1/2) = -9 There is no log form of that.

Miscellaneous_Word_Problems/307694: How many miles would a map distance of 5/8 inch represent if 1 inch = 240 miles? 1 solutions Answer 220087 by Alan3354(31518)   on 2010-05-23 18:32:51 (Show Source): You can put this solution on YOUR website! It would be (5/8)*240

Graphs/307695: How do you write an equation in standard form of the line with these given characteristics: passes through (-2,2) and (3,6) 1 solutions Answer 220086 by Alan3354(31518)   on 2010-05-23 18:32:00 (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/307696: write the equation of the line trought (4,-5) and parell to the line 2x-3y=4 in standard form 1 solutions Answer 220085 by Alan3354(31518)   on 2010-05-23 18:31:09 (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

Square-cubic-other-roots/307677: express in terms of i. square root of -104 1 solutions Answer 220083 by Alan3354(31518)   on 2010-05-23 18:24:46 (Show Source): You can put this solution on YOUR website! = =

Coordinate-system/307641: Using the y=y method, solve the following system of equations. 2x + y = 12 3x – y = 8 1 solutions Answer 220066 by Alan3354(31518)   on 2010-05-23 17:40:19 (Show Source): You can put this solution on YOUR website! I haven't heard of the "y = y method." Maybe you solve both eqns for y, then go from there? --------------- 2x + y = 12 --> y = 12-2x 3x – y = 8 --> y = 3x-8 Then they equal each other? 12-2x = 3x-8 5x = 20 x = 4 --------- y = 4 --------- Is that it? Some call that substitution.

Linear-equations/307661: Using the y=y method, solve the following system of equations. 2x + y = 12 1 solutions Answer 220064 by Alan3354(31518)   on 2010-05-23 17:36:26 (Show Source): You can put this solution on YOUR website! insufficient data

Exponents/307666: the book only says find the solution and i can't find an example to work from help x^4-5x^2+4=0 1 solutions Answer 220063 by Alan3354(31518)   on 2010-05-23 17:35:38 (Show Source): You can put this solution on YOUR website! It's a quadratic in x^2 Sub y for X^2: y^2 - 5y + 4 = 0 Can you finish it? email via the Thank You note for more help.

Linear-equations/307638: The line passes through (-6,4) and (3,-2) Write all three equations. 1 solutions Answer 220060 by Alan3354(31518)   on 2010-05-23 17:16:53 (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 ----------------- I don't know what 3 equations you mean.

Triangles/307655: how do i find x degrees of a right triangle using sine or cosine 1 solutions Answer 220059 by Alan3354(31518)   on 2010-05-23 17:13:36 (Show Source): You can put this solution on YOUR website! The sine is the side opposite the angle divided by the hypotenuse. The cosine is the side adjacent the angle divided by the hypotenuse.

Linear-equations/307658: Given one point on the graph (0, -11) and the slope, m = -2, develop an equation in the slope-intercept format. 1 solutions Answer 220058 by Alan3354(31518)   on 2010-05-23 17:11:37 (Show Source): You can put this solution on YOUR website! A line and a point example. ------------------- The slope, m = -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

Surface-area/307656: what is the lateral area of a cylinder if it is 2ft. tall and the radius is 2ft.? 1 solutions Answer 220057 by Alan3354(31518)   on 2010-05-23 17:08:06 (Show Source): You can put this solution on YOUR website! = 2*pi*2*2 = 8pi =~ 25.132 sq feet

Quadratic_Equations/307607: What is the slope of x^2-9=0, x^2+5=0, 4x^2=0, 2x^2-8=0, x^2+16=0, x^2+7=7, 1 solutions Answer 220048 by Alan3354(31518)   on 2010-05-23 15:30:01 (Show Source): You can put this solution on YOUR website! What is the slope of x^2-9=0, x^2+5=0, 4x^2=0, 2x^2-8=0, x^2+16=0, x^2+7=7 ---------------- What is the slope of x^2-9=0 The slope at any point is x*2a m = 2x ------ 4x^2=0 m = 8x ------- Do the others in the same way.

Polynomials-and-rational-expressions/307608: How do you factor completely 9w squared minus 64 1 solutions Answer 220045 by Alan3354(31518)   on 2010-05-23 15:25:36 (Show Source): You can put this solution on YOUR website! It's a difference of 2 squares, (3w)^2 - 8^2 ------------- a^2 - b^2 = (a-b)*(a+b)

Coordinate-system/307614: what is the slope intercept equation for the line containing the given pair of points (1,5) and (4,2) and the steps to solving the problem 1 solutions Answer 220044 by Alan3354(31518)   on 2010-05-23 15:23:12 (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