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 absolute-value/317643: what is the absolute value of |-(-7/8)|1 solutions Answer 227501 by Alan3354(31518)   on 2010-06-26 06:46:08 (Show Source): You can put this solution on YOUR website!what is the absolute value of |-(-7/8)| = |7/8| = 7/8
 Linear-equations/317607: What is the equation for a line that passes through (6,26) and has a slope of 3? What is the equation for a line that passes through the points (5,5) and (10,20)? What is the equation for a line that passes through (9,25) and has a slope of -3? What is the equation for a line that passes through (1,1) and is perpendicular to the line 4x+6Y=18? What is the equation for a circle with a radius of 4 and a mispoint at (2,2)?1 solutions Answer 227451 by Alan3354(31518)   on 2010-06-25 22:05:32 (Show Source): You can put this solution on YOUR website!What is the equation for a line that passes through (6,26) and has a slope of 3? What is the equation for a line that passes through the points (5,5) and (10,20)? What is the equation for a line that passes through (9,25) and has a slope of -3? What is the equation for a line that passes through (1,1) and is perpendicular to the line 4x+6Y=18? --------------------------- See below. 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 ---------------------- 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 ------------------------------What is the equation for a circle with a radius of 4 and a mispoint at (2,2)? What is mispoint? Or midpoint? If you mean the center, it's
 Systems-of-equations/317632: an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?1 solutions Answer 227450 by Alan3354(31518)   on 2010-06-25 22:02:24 (Show Source): You can put this solution on YOUR website! an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind? ------------ 2277/3 = 759 km/hr 2667/3 = 889 km/hr The plane's airspeed is the average. (759+889)/2 = 824 km/hr ---------------- The wind speed is the difference, = 889 - 824 Wind speed = 65 km/hr
 Equations/317584: Please solve for x 3/x=(x-4)/71 solutions Answer 227449 by Alan3354(31518)   on 2010-06-25 21:58:57 (Show Source): You can put this solution on YOUR website!Please solve for x 3/x=(x-4)/7 Cross multiply 3*7 = x*(x-4) 21 = x^2 - 4x (x-7)*(x+3) = 0 x = 7 x = -3
 Coordinate-system/317624: Find the point on the line y = 2x - 5 that is nearest the origin. a. (2 , -1) b. (1 , 2) c. (2 , 2) d. (-1 , 1) 1 solutions Answer 227448 by Alan3354(31518)   on 2010-06-25 21:40:36 (Show Source): You can put this solution on YOUR website!Find the point on the line y = 2x - 5 that is nearest the origin. a. (2 , -1) b. (1 , 2) c. (2 , 2) d. (-1 , 1) ---------------- The shortest distance from the origin to the line is perpendicular to the line. The slope of y = 2x - 5 is 2. The slope of lines perpendicular have a slope that's the negative inverse, m = -1/2. ---------- Use y = mx + b and the point (0,0) --> y = (-1/2)x Find where y = -x/2 intersects y = 2x - 5 -x/2 = 2x - 5 -x = 4x - 10 -5x = -10 x = 2 y = -1 --> the point (2,-1) nearest the origin ------------------------ Tho is wasn't asked for: The distance from the origin is
 Linear-equations/317629: Find the equation of the line passing through (4,8) and is parallel to the equation y = 3x + 11 solutions Answer 227444 by Alan3354(31518)   on 2010-06-25 21:34:37 (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
 Equations/317618: Identify the degree of each term of the polynomial and degree of the polynomial. -5x^3 + 3x^2 + 8x + 41 solutions Answer 227430 by Alan3354(31518)   on 2010-06-25 20:57:35 (Show Source): You can put this solution on YOUR website!From left to right, they're 3, 2, 1, 0 The degree of the polynomial is the largest, = 3.
 Linear-systems/317583: How do I write 8x+83=y in y=mx+b form ? 1 solutions Answer 227427 by Alan3354(31518)   on 2010-06-25 20:25:32 (Show Source): You can put this solution on YOUR website!Just like that. y = 8x + 83
 Graphs/317568: I am so confused about graphing inequalities... I am not just wanting someone to do my homework, I am trying to truly understand this!! Graph this inequality on a plane... x<-21 solutions Answer 227418 by Alan3354(31518)   on 2010-06-25 16:33:44 (Show Source): You can put this solution on YOUR website! I am so confused about graphing inequalities... I am not just wanting someone to do my homework, I am trying to truly understand this!! Graph this inequality on a plane... x<-2 --------------------------- Graph x = -2, which is a line parallel to the y-axis thru (-2,0) x < -2 is the area to the left, not including the line. ------------------- dl the FREE graph software from http://www.padowan.dk.com It does inequalities, and makes it clear.
 Pythagorean-theorem/317438: If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the lengths of the two other sides?1 solutions Answer 227277 by Alan3354(31518)   on 2010-06-25 08:46:51 (Show Source): You can put this solution on YOUR website!If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the lengths of the two other sides? ---------------- If the sq root is 2, then the length is 4.
 Human-and-algebraic-language/317352: you are on a roof of a building. you throw a ball into the air with a velocity of 32ft/s. the ball is 48 ft above the ground when it leaves your hand. how many seconds will it take for the ball to reach the ground? use the vertical motion formula -16t^+ vt + s =h.1 solutions Answer 227223 by Alan3354(31518)   on 2010-06-24 21:24:22 (Show Source): You can put this solution on YOUR website!you are on a roof of a building. you throw a ball into the air with a velocity of 32ft/s. the ball is 48 ft above the ground when it leaves your hand. how many seconds will it take for the ball to reach the ground? use the vertical motion formula -16t^+ vt + s =h. --------------------- h(t) = -16t^2 + vt + s v = initial velocity = 32 ft/sec s = initial height = 48 feet h(t) = -16t^2 + 32t + 48 ------------------------ Find when h(t) = 0 -16t^2 + 32t + 48 = 0 -t^2 + 2t + 3 = 0 (-t - 1)*(t - 3) = 0 t = -1 second (Ignore) t = 3 seconds
 Linear_Equations_And_Systems_Word_Problems/317340: elaine's height is 67 inches. Determine in terms of an inequality, those weights W that will keep her body mass index below 25. Do not know what to start with an equation1 solutions Answer 227217 by Alan3354(31518)   on 2010-06-24 21:00:08 (Show Source): You can put this solution on YOUR website!You'll have to provide the formula you want to use.
 Surface-area/317347: how do i find the appropriate formula to find the surface area of the room 9ft x 12ft? 1 solutions Answer 227215 by Alan3354(31518)   on 2010-06-24 20:59:18 (Show Source): You can put this solution on YOUR website!Area = length times width = 9*12 = 108 square feet
 Linear-equations/317320: if i have: x+3=0 x+y=4 how would i find a point that represents the common solution for a system 1 solutions Answer 227203 by Alan3354(31518)   on 2010-06-24 20:26:17 (Show Source): You can put this solution on YOUR website!x+3=0 x+y=4 how would i find a point that represents the common solution for a system ---------- x+3=0 x = -3 ----------- x+y=4 -3+y = 4 y = 7 ------- --> (-3,7)
 Equations/317326: Please Translate the following into algebraic equation, the sum of a number and 2 is 12.1 solutions Answer 227184 by Alan3354(31518)   on 2010-06-24 19:09:34 (Show Source): You can put this solution on YOUR website!n is the number n + 2 = 12
 Linear-equations/317327: How do I find the an equation of the line containing the given pairs of points (-2,-9) and (-5,-1)1 solutions Answer 227182 by Alan3354(31518)   on 2010-06-24 19:04:47 (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
 Polygons/317211: What is the measure of an exterior angle of a regular 32-gon polygon? 1 solutions Answer 227096 by Alan3354(31518)   on 2010-06-24 14:26:23 (Show Source): You can put this solution on YOUR website!The sum of the exterior angles for ALL polygons is 360 degs. 360/32 = 11.25º
 Trigonometry-basics/317041: determine the proper sign and acute angle (01 solutions Answer 226991 by Alan3354(31518)   on 2010-06-23 21:51:23 (Show Source): You can put this solution on YOUR website!determine the proper sign and acute angle (0 23pi/6 = 24pi/6 - pi/6 = -pi/6 sin(-pi/6) = -1/2 -------------- It's not in Quadrant 1, I'm not sure what you mean by the rest.
 Proportions/317039: difference between -4 and 1 solutions Answer 226985 by Alan3354(31518)   on 2010-06-23 21:24:04 (Show Source): You can put this solution on YOUR website!Insufficient data.
 Travel_Word_Problems/317043: A motorboat can travel 28 miles downstream in the same amount of time as it can travel 18 miles upstream. Find the speed of the current if the boat can travel 23 mph in still water. I thought the problem should be something like 28/23+x=18/23-x but this is not giving me the correct answer...not sure what else I can do1 solutions Answer 226977 by Alan3354(31518)   on 2010-06-23 21:10:19 (Show Source): You can put this solution on YOUR website!A motorboat can travel 28 miles downstream in the same amount of time as it can travel 18 miles upstream. Find the speed of the current if the boat can travel 23 mph in still water. I thought the problem should be something like 28/23+x=18/23-x but this is not giving me the correct answer...not sure what else I can do --------------- 28/(23+x) = 18/(23-x) looks right to me Cross multiply 28*(23-x) = 18*(23+x) 644 - 28x = 414 + 18x 230 = 46x x = 5 mph -------
 Equations/317023: Garden Area Problem. A designer created a garden from two concentric circles whose equations are as follows: (x+2)small 2 +(4-6) small 2 =16 and (x + 2) small 2 +(y -6) small 2 =81 (I hope yu can understand this) Thanks1 solutions Answer 226969 by Alan3354(31518)   on 2010-06-23 20:33:46 (Show Source): You can put this solution on YOUR website!Garden Area Problem. A designer created a garden from two concentric circles whose equations are as follows: (x+2)small 2 +(4-6) small 2 =16 and (x + 2) small 2 +(y -6) small 2 =81 (I hope yu can understand this) -------------- I think you meant: and ----------- Those are 2 concentric circles, radius 4 and radius 9 What about them?
 Radicals/316989: find the distance between (2/3,4) and (5/3,7) a)3.46 b)3.16 c)10.06 d)4.241 solutions Answer 226946 by Alan3354(31518)   on 2010-06-23 19:01:46 (Show Source): You can put this solution on YOUR website!Find the difference between x values. Find the difference between y values. Square both of those. Add them. Take the square root. That's the distance. ------------------
 Radicals/316994: find the distance between (-2,9) and (-5,15) a)45.02 b) 6.17 c)24.18 d) 18.671 solutions Answer 226919 by Alan3354(31518)   on 2010-06-23 17:43:31 (Show Source): You can put this solution on YOUR website!The difference in x is 3. In y it's 6. d =~ 6.708
 Graphs/316872: Write the standard form (ax+by=c) of the equation of the line with the following conditions. 1. Through: (1,2) Slope; 7 What i have tried: i have tried to graph it. i used the slope. And after that i got lost, because i dont understand the question itself. HELP, please ?1 solutions Answer 226787 by Alan3354(31518)   on 2010-06-23 10:42:35 (Show Source): You can put this solution on YOUR website!Write the standard form (ax+by=c) of the equation of the line with the following conditions. 1. Through: (1,2) Slope; 7 What i have tried: i have tried to graph it. i used the slope. And after that i got lost, because i dont understand the question itself. ----------------------- Graphing it is ok, but it's not asked for. You know the slope, m = 7, so find the y-intercept. Use the point and y = mx + b to find b, the y-intercept. 2 = 7*1 + b b = -5 ------- That makes the equation y = 7x - 5 in slope-intercept form 7x - y = 5 is the "standard form" asked for ----------- 7x - y = 5 is the answer.
 Equations/316768: HELP me please. Find the equation of the axis of symmetry of the parabola f(x)=(x+1)square + 8 1 solutions Answer 226740 by Alan3354(31518)   on 2010-06-23 08:32:25 (Show Source): You can put this solution on YOUR website!It's x = -1 That's the form of a parabola that shows the axis of symmetry, x = h
 Complex_Numbers/316813: For the complex number a + bi, what is z bar (z with a line over it?1 solutions Answer 226732 by Alan3354(31518)   on 2010-06-23 07:42:03 (Show Source): You can put this solution on YOUR website!For the complex number a + bi, what is z bar (z with a line over it? If z = a + bi, "z bar" is the conjugate a - bi
 Trigonometry-basics/316733: Find the exact value of sin pi/3 - cos pi/61 solutions Answer 226692 by Alan3354(31518)   on 2010-06-22 22:18:15 (Show Source): You can put this solution on YOUR website!sin pi/3 - cos pi/6 = = 0 --------- Or use sin(x) = cos(pi/2 - x) --> cos(pi/6) - cos(pi/6) = 0
 Problems-with-consecutive-odd-even-integers/316710: The product of two positive consecutive even integers is 80. Find the integers. 1 solutions Answer 226658 by Alan3354(31518)   on 2010-06-22 21:09:46 (Show Source): You can put this solution on YOUR website! --> 8 & 10
 Polynomials-and-rational-expressions/316561: how do you factor polynomials?1 solutions Answer 226656 by Alan3354(31518)   on 2010-06-22 21:08:24 (Show Source): You can put this solution on YOUR website!In most cases, I factor them correctly. How about you?
 Rate-of-work-word-problems/316430: there are 5 men working for 24 hours for 5 days to complete a brick wall. how many days can one man complete the same job if he only works for 8 hours a day? my answer was 75 but i was told that it was wrong. can you help? thanks!1 solutions Answer 226340 by Alan3354(31518)   on 2010-06-21 22:44:32 (Show Source): You can put this solution on YOUR website!there are 5 men working for 24 hours for 5 days to complete a brick wall. how many days can one man complete the same job if he only works for 8 hours a day? ------------------ Do the 5 men work 24 hours each day for 5 days?
 Radicals/316387: The radius of a sphere is given by the formula: r=(0.75V)over pie ^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pie over 3 cubic meters.1 solutions Answer 226327 by Alan3354(31518)   on 2010-06-21 21:36:12 (Show Source): You can put this solution on YOUR website!The radius of a sphere is given by the formula: r=(0.75V)over pie ^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pie over 3 cubic meters ---------------- It's the Greek letter pi, not the dessert, pie. Why don't you sub 32*pi for V and solve for r?