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Miscellaneous_Word_Problems/221465: It takes a train 7 seconds to pass by a stationary observer and 26 seconds to travel the length of a station 380 meters long. What is the speed of the train and its length? 1 solutions Answer 166169 by ankor@dixie-net.com(15652)   on 2009-10-04 20:10:00 (Show Source): You can put this solution on YOUR website! It takes a train 7 seconds to pass by a stationary observer and 26 seconds to travel the length of a station 380 meters long. What is the speed of the train and its length? : let s = speed of the train in meters/sec : 7s = length of the train : time of the front of the train passing the platform It passes the platform 26-7 = 19 sec : s = s = 20 meters/sec : Train length = 7s 7(20) = 140 meters long : The speed of train in km/hr = = 72 km/hr

Linear_Equations_And_Systems_Word_Problems/221258: Diophantus a greek mathematician is considered by many as the "Father of Algeria" because of his works in the syncopation of algebra. In his epitaph, the following is scripted. "A sixth of his life was spent in childhood. A twelfth as a youth, and a seventh as a bachelor. Five years after his marriage, his son was born but died four years before his own death at half his age". 1 solutions Answer 166132 by ankor@dixie-net.com(15652)   on 2009-10-04 18:00:17 (Show Source): You can put this solution on YOUR website! Diophantus passed one-sixth of his life in childhood, one-twelfth in youth, one-seventh more as a bachelor. Five years after his marriage, a son was born who died four years before his father, at half his father's [final] age. How old was Diophantus when he died. : Let x = his final age : a lengthy but simple equation Final age = child + youth + bach + marriage + son's age + 4 x = x + x + x + 5 + x + 4 : Common denominator of 12*7 = 84 x = x + x + x + 5 + x + 4 : x = x + 9 : x - x = 9 : x = 9 : x = 84 is his final age : Check: 14 + 7 + 12 + 5 + 42 + 4 = 84

Human-and-algebraic-language/221446: A colonel, on attempting to draw up his regiment in the form of a solid square, finds that he has 30 men left over, and that he would require 25 soliders in his regiment to increase the side of the square by one soldier. How many soldiers are there in the regiment? 1 solutions Answer 166101 by ankor@dixie-net.com(15652)   on 2009-10-04 16:54:00 (Show Source): You can put this solution on YOUR website! A colonel, on attempting to draw up his regiment in the form of a solid square, finds that he has 30 men left over, and that he would require 25 solders in his regiment to increase the side of the square by one soldier. How many soldiers are there in the regiment? ; Let (x^2 + 30) = no. of soldiers in the regiment : It says that 25 more would give him one more in each side: We can write that (x + 1)^2 = x^2 + 30 + 25 : x^2 + 2x + 1 = x^2 + 55 ; x^2 - x^2 + 2x = 55 - 1 : 2x = 54 x = x = 27 therefore 27^2 + 30 = 759 soldiers : Is this true? 28^2 - 759 = 25

test/221116: Rus and dufus each took some money froma piggy bank to buy an ice cream cone but rufus was 24 cent short and dufus was 2 cent short of the price of cone. they decided to pool their resources, but found they still could not afford to buy the cone. how many cents did the ice cream cost? 1 solutions Answer 166086 by ankor@dixie-net.com(15652)   on 2009-10-04 16:20:47 (Show Source): You can put this solution on YOUR website! Rus and dufus each took some money from a piggy bank to buy an ice cream cone but rufus was 24 cent short and dufus was 2 cent short of the price of cone. they decided to pool their resources, but found they still could not afford to buy the cone. how many cents did the ice cream cost? : Let the cost of the cone = x then x - 24 = R's amt and x - 2 = D's amt : The total amt of both: (x-24) + (x-2) = (2x - 26) : Total amt was not enough to buy a cone, write an inequality 2x - 26 < x 2x - x < 26 x < 26 cents Let x = 25 cents be the price of a cone ; Is this true? 25 - 24 = 1 cents for R and 25 - 2 = 23 cents for D : Together they had 24 cents, not enough for a 25 cent cone

Geometry_Word_Problems/221381: A red ball and a green ball are simultaneously tossed in to the air. The red bass is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16^2+96tfeet. The green ball is given an initial velocity of 80 feet persecond, and its height t seconds after it is tossed is -16t^2+80t feet. Find a polynomial d(t) that represents the fiddference in the heights of the two balls, how much higher is the reball 2 seconds after the balls are tossed. In reality, when does the difference in the deights stop increasing? 1 solutions Answer 166075 by ankor@dixie-net.com(15652)   on 2009-10-04 15:30:07 (Show Source): You can put this solution on YOUR website! A red ball and a green ball are tossed into the air. The red ball is given an initial velocity of 96 feet per second and its height "t" seconds after it is tossed is -16t^2 + 96t feet. The green ball is given an initial velocity of 80 feet per second and its height "t" seconds after being tossed is -16t^2 +80t feet. : Find a polynomial D(t) that represents the difference in the heights of the two balls. D(t) = (-16t^2 + 96t) - (-16t^2 +80t) : Remove brackets D(t) = -16t^2 + 96t + 16t^2 - 80t : combine like terms: D(t) = 16t : How much higher is the red ball 2 seconds after the balls are tossed? D(t) = 16(2) D(t) = 32 ft difference after 2 seconds : When does the difference in the heights stop increasing? : Obviously, when one of the balls hits the ground : Find when the lowest ball hits the ground (h=0) -16t^2 + 80t = 0 Factor out -16t -16t(t - 5) = 0 t = 5 seconds when the difference stops increasing; : A graph illustrates this well

Linear-equations/221070: What would the answer be if i need to write an equation for the line in slope intercept-form when it passes throught (5,-2) and is parallel to y=-9x+6? 1 solutions Answer 166035 by ankor@dixie-net.com(15652)   on 2009-10-04 11:41:44 (Show Source): You can put this solution on YOUR website! What would the answer be if i need to write an equation for the line in slope intercept-form when it passes through (5,-2) and is parallel to y=-9x+6? ; remember that parallel lines have the same slope, here it is -9. : Use point/slope formula; y - y1 = m(x - x1) our equation: y - (-2) = -9(x - 5) y + 2 = -9x + 45 y = -9x + 45 - 2 y = -9x + 43, is the equation in the slope/intercept form

Circles/221262: I have four circles each with a 10 foot radius, they are put togeather to form a squire of circles what I need to know is the squire foot of the waste in the very middle 1 solutions Answer 166027 by ankor@dixie-net.com(15652)   on 2009-10-04 11:29:38 (Show Source): You can put this solution on YOUR website! I have four circles each with a 10 foot radius, they are put together to form a square of circles. What I need to know is the square foot of the waste in the very middle. : Picture a single circle a radius of 10, inscribed in a single square, a side of 20 Find the area of the square, subtract the area of the circle : (20^2) - (pi*10^2) = 400 - 314.159 = 85.84 sq/ft; the total wasted in a all 4 corners : This is also the total of the 4 corners from the 4 circles described therefore 85.84 sq/ft wasted ; Did this make sense to you?

Numbers_Word_Problems/221245: i am less than 500. i am divisible 11 and 5. i have three digits. the sum of my digits is 14? 1 solutions Answer 166002 by ankor@dixie-net.com(15652)   on 2009-10-04 09:53:35 (Show Source): You can put this solution on YOUR website! i am less than 500. i am divisible 11 and 5. i have three digits. the sum of my digits is 14? : with a calc: multiply 55 * 9 = 495 subtract 55 until the digits add up to 14 440 385 330 275 digits add up to 14

Travel_Word_Problems/220972: plane flies 420 mph in still air. With wind, a trip from a to b takes 10 minutes less than the return trip flying against wind from b to a. Distance between a to b is 360 miles. Find speed of wind. 1 solutions Answer 165933 by ankor@dixie-net.com(15652)   on 2009-10-03 21:10:46 (Show Source): You can put this solution on YOUR website! plane flies 420 mph in still air. With wind, a trip from a to b takes 10 minutes less than the return trip flying against wind from b to a. Distance between a to b is 360 miles. Find speed of wind. : Let w = speed of the wind then (420+w) = speed with the wind and (420-w) = speed against the wind : Convert 10 min to hr : Time b-a - Time a-b = 10 min - = Multiply equation by 6(420-w)(420+w) : 6(420-w)(420+w)* - 6(420-w)(420+w)* = 6(420-w)(420+w)* : Cancel the denominators and you have 6(420+w)*360 - 6(420-w)*360 = (420+w)(420-w) ; 2160(420+w) - 2160(420-w) = 176400 - w^2 : 1327200 + 2160w - 1327200 + 2150w = 176400 - w^2 : Combine on the left to form a quadratic equation: w^2 + 4320w - 176400 = 0 You have to use the quadratic formula to find w : I got a positive solution of w = 40.4545 mph ; : Check this with a calc - = .9485 - .7818 = .1667 .1667 = .1667

Probability-and-statistics/221123: Suppose that the mean score of a class of 28 students was 74. The 18 male students in the class had a mean score of 66. What was the mean score for the 10 female students? I don't understand how to find this answer. 1 solutions Answer 165912 by ankor@dixie-net.com(15652)   on 2009-10-03 19:11:58 (Show Source): You can put this solution on YOUR website! Suppose that the mean score of a class of 28 students was 74. The 18 male students in the class had a mean score of 66. What was the mean score for the 10 female students? : Let x = mean score of the girls : write a total score equation boys + girls = total 18*66 + 10x = 28*74 : 1188 + 10x = 2072 : 10x = 2072 - 1188 : 10x = 884 x = x = 88.4 girls mean score

Exponents/221139: A 2000L tank containing 550L of water is being filled with water at the rate of 75L per minute from a full 1600L tank. How long will it be before the two tanks have the same amount of water? 1 solutions Answer 165910 by ankor@dixie-net.com(15652)   on 2009-10-03 18:57:59 (Show Source): You can put this solution on YOUR website! A 2000L tank containing 550L of water is being filled with water at the rate of 75L per minute from a full 1600L tank. How long will it be before the two tanks have the same amount of water? : Let t = time required for the two levels to be equal : 2k tank amt = 1600 tank amt 75t + 550 = 1600 - 75t : 75t + 75t = 1600 - 550 : 150t = 1050 t = t = 7 hrs ; : Check solution by finding the amt in each 75(7) + 550 = 1600 - 75(7) 525 + 550 = 1600 - 525 1075 = 1075

Inequalities/221007: How would you out this in inequality form Five times a number decreased by eight is at the most ten more than twice the number. 1 solutions Answer 165909 by ankor@dixie-net.com(15652)   on 2009-10-03 18:42:46 (Show Source): You can put this solution on YOUR website! Five times a number decreased by eight is at the most ten more than twice the number. 5x - 8 =< 2x + 10 : 5x - 2x =< 10 + 8 : 3x =< 18 : x =< 6

test/221084: if the nine-digit integer 3365097 ab is divisible by 72. find the possible ordered pairs of digits (a,b) 1 solutions Answer 165871 by ankor@dixie-net.com(15652)   on 2009-10-03 16:34:26 (Show Source): You can put this solution on YOUR website! if the nine-digit integer 3365097 ab is divisible by 72. find the possible ordered pairs of digits (a,b) : try a=9, b=9 Using a calc 336509799/72 = 4673747.208 : .208 * 72 ~ 15 : Subtract 15 from 99 = 84 a=8, b=4 336509784/72 = 4673747 : Subtract 72: a=1, b=2 336509712/72 = 4673746 ; Possible a, b values 8, 4 and 1, 2

Equations/221017: I really cannot figure this out! Please help!!! A disk jockey must play 12 commercial spots during one hour of a radio show. Each comercial is either 30 seconds or 60 seconds long. If the total commercial time during one hour is 8 minutes, how many 30-sec commercials were played that hour? How many 60-sec commercials? 1 solutions Answer 165863 by ankor@dixie-net.com(15652)   on 2009-10-03 16:13:43 (Show Source): You can put this solution on YOUR website! A disk jockey must play 12 commercial spots during one hour of a radio show. Each comercial is either 30 seconds or 60 seconds long. If the total commercial time during one hour is 8 minutes, how many 30-sec commercials were played that hour? How many 60-sec commercials? : Let x = no. of 30 sec let y = no. of 60 sec : Convert 8 min to 480 second : Two equations: x + y = 12 arrange for substitution x = 12-y : 30x + 60y = 480 simplify, divide by 30 x + 2y = 16 ; Replace x with (12 - y) 12 - y + 2y = 16 -y + 2y = 16 - 12 y = 4 ea 60 sec commercials and x = 12 - 4 x = 8 ea 30 sec commercials ; Check solution in 2nd original equation 30(8) + 60(4) = 240 + 240 = 480 sec = 8 min

Miscellaneous_Word_Problems/220981: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field? I understand x^2 , x+1, x+3, however, when I write the equation to separate I cannot get to area of each field if total is 38. Thank you, Brett 1 solutions Answer 165851 by ankor@dixie-net.com(15652)   on 2009-10-03 15:47:45 (Show Source): You can put this solution on YOUR website! While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field? : I understand x^2 , x+1, x+3, however, when I write the equation to separate I cannot get to area of each field if total is 38. : I think it should be: x^2 + (x+1)^2 + (x+3)^2 = 38 FOIL x^2 + x^2 + 2x + 1 + x^2 + 6x + 9 = 38 Combine like terms 3x^2 + 8x + 10 = 38 : 3x^2 + 8x + 10 - 38 = 0 : 3x^2 + 8x - 28 = 0 Factors to (3x + 14)(x - 2) = 0 Positive solution x = 2 km ; The three field sides, 2, 3, 5 ; Check: 2^2 + 3^2 + 5^2 = 38

Linear-equations/220888: Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). The perpendicular bisector of a line segment AB is the line that is perpendicular to AB and cuts AB into two equal pieces 1 solutions Answer 165843 by ankor@dixie-net.com(15652)   on 2009-10-03 15:33:49 (Show Source): You can put this solution on YOUR website! an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). The perpendicular bisector of a line segment AB is the line that is perpendicular to AB and cuts AB into two equal pieces : Find the slope (m1) of the given line segment x1 = -1; y1 = 4 x2 = 3; y2 = 5 : m1 = = = : Find the midpoint of the line: m.p. = , m.p. = , m.p. = x=1, y=4.5; is the mid-point : Find the slope of the perpendicular line *m2 = -1 m2 = 4(-1) m2 = -4 : Find equation of the bisecting line using this slope and the midpoint y - 4.5 = -4(x - 1) y - 4.5 = -4x + 4 y = -4x + 4 + 4.5 y = -4x + 8.5; is the bisecting perpendicular line

Linear_Equations_And_Systems_Word_Problems/221030: Write a system of the form ax+by=c dx+ey=f where a,b,c,d,e, and f are consecutive integers. Solve the system and make a conjecture. Please help! this is taken fron the textbook Beginning Algebra By Addison WEsley 1 solutions Answer 165827 by ankor@dixie-net.com(15652)   on 2009-10-03 13:54:36 (Show Source): You can put this solution on YOUR website! Write a system of the form ax+by=c dx+ey=f where a,b,c,d,e, and f are consecutive integers. Solve the system and make a conjecture. : 1x + 2y = 3 4x + 5y = 6 : Multiply the 1st equation by 4, subtract the 2nd equation from it: 4x + 8y = 12 4x + 5y = 6 --------------eliminate x 3y = 6 y = 2 then use the 1st equation to find x x + 2(2) = 3 x = 3 - 4 x = -1 ; : Check solutions in the 2nd equation 4(-1) + 5(2) = 6 -4 + 10 = 6 : : Can we conjecture that any system like this will have solutions x = -1 and y = 2

Square-cubic-other-roots/220830: Write each product of primes factors, thin simplify. Give answers in simplifiied radical form. 3root of 135 1 solutions Answer 165817 by ankor@dixie-net.com(15652)   on 2009-10-03 13:22:35 (Show Source): You can put this solution on YOUR website! 3root of 135 : Factor Extract the square of 3

Miscellaneous_Word_Problems/220813: Linda and Dave leave simultaneously from the same starting point biking in opposite directions. Linda bikes at 5 miles per hour and Dave bikes at 9 miles per hour. How long will it be until they ar 28 miles apart from each other? 1 solutions Answer 165812 by ankor@dixie-net.com(15652)   on 2009-10-03 12:57:07 (Show Source): You can put this solution on YOUR website! Linda and Dave leave simultaneously from the same starting point biking in opposite directions. Linda bikes at 5 miles per hour and Dave bikes at 9 miles per hour. How long will it be until they ar 28 miles apart from each other? ; You can do this in your head, their relative speed: 9 + 5 = 14 mph How long to cover 28 at 14 mph, obviously, it's 2 hrs

Angles/220931: Please help me solve this problem: The measure of the supplement of an angle is 3 times as great as the measure of the angle's complement. Find the measure of the angle. Please help me solve this problem: The difference between the measures of the angle and its complement is 14. Find the measure of the angle and its complement. Please help me solve this problem: Find the measure of an angle if it is 12 less than twice the measure of its complement. Please help me solve this problem: If a point C is equidistant from points A and B, then point C is the midpoint of the segment that joins A and B. Thank you for your time and help. Can you please explain them step by step? Sorry and thank you again. 1 solutions Answer 165808 by ankor@dixie-net.com(15652)   on 2009-10-03 12:50:50 (Show Source): You can put this solution on YOUR website! All you have to know here is the definition of "complement and supplement" ; The measure of the supplement of an angle is 3 times as great as the measure of the angle's complement. Find the measure of the angle. : let x = "the angle" supplement = 180-x complement = 90-x : The equation for what it says (the word "is" usually means =): 180-x = 3(90-x) 180 - x = 270 - 3x -x + 3x = 270 - 180 2x = 90 x = x = 45 degrees You can check the solution in the original equation ; : The difference between the measures of the angle and its complement is 14. Find the measure of the angle and its complement. x - (90-x) = 14 x - 90 + x = 14 x + x = 14 + 90 2x = 104 x = 52 degrees Check solution in original equation : : Find the measure of an angle if it is 12 less than twice the measure of its complement. x = 2(90-x) - 12 x = 180 - 2x - 12 x + 2x = 180 - 12 3x = 168 x = x = 56 degrees : : If a point C is equidistant from points A and B, then point C is the midpoint of the segment that joins A and B. OK, I agree with that!

Polynomials-and-rational-expressions/220807: Please help. I am supposed to solve this: z-2/z+1= 5/7(5/7 is a fraction) 1 solutions Answer 165791 by ankor@dixie-net.com(15652)   on 2009-10-03 12:17:56 (Show Source): You can put this solution on YOUR website! Assume the problems is: = cross multiply 7(z-2) = 5(z+1) : 7z - 14 = 5z + 5 : 7z - 5z = 5 + 14 : 2z = 19 : z = z = 9.5 ; ; Check solution in original equation: = = .7142857 = .7142857

Travel_Word_Problems/220803: Bob Rodriquez, the Albany, NY sales representative for Advanced Drafting Software, Inc., must attend the regional sales meeting in New York City. Unfortunately, his car is in the shop so he must make other travel arrangements to reach his destination. One option is to take a train that departs at 8:00 A.M. Alternatively, he could ride to the meeting with another sales rep. Bob has an important presentation to deliver at the meeting and needs to arrive as early as possible. He knows that the train travels at 80 miles per hour, but has a 30 – minute layover halfway through the 156-mile trip. He also knows that his friend cannot depart before 8:00 A.M. and will adamantly refuse to drive any faster than 55 miles per hour. If both methods of transportation leave at the same time (8:00 A.M.), will the train or the car allow him to reach the regional sales meeting sooner? 1 solutions Answer 165769 by ankor@dixie-net.com(15652)   on 2009-10-03 11:16:12 (Show Source): You can put this solution on YOUR website! the train travels at 80 miles per hour, but has a 30 – minute layover halfway through the 156-mile trip. He also knows that his friend cannot depart before 8:00 A.M. and will adamantly refuse to drive any faster than 55 miles per hour. If both methods of transportation leave at the same time (8:00 A.M.), will the train or the car allow him to reach the regional sales meeting sooner : Find the times of both Train: + .5 = 2.45 hrs Carl: = 2.84 hrs

Average/220757: The U.S. Weather Bureau defines a cloud ceiling as the altitude of the lowest clouds that cover more than half the sky. To determine a cloud ceiling, a powerful searchlight projects a circle of light vertically on the bottom of the cloud. An observer sights the circle of light in the crosshairs of a tube called a clinometer. A pendant hanging vertically from the tube and resting on a protractor gives the angle of elevation. Find the cloud ceiling if the searchlight is located 1000 feet from the observer and the angle of elevation is 30.0° as measured with a clinometer at eye-height 6 feet. (Assume three significant digits.) Please help solve and explain this. 1 solutions Answer 165764 by ankor@dixie-net.com(15652)   on 2009-10-03 10:41:11 (Show Source): You can put this solution on YOUR website! The U.S. Weather Bureau defines a cloud ceiling as the altitude of the lowest clouds that cover more than half the sky. To determine a cloud ceiling, a powerful searchlight projects a circle of light vertically on the bottom of the cloud. An observer sights the circle of light in the crosshairs of a tube called a clinometer. A pendant hanging vertically from the tube and resting on a protractor gives the angle of elevation. Find the cloud ceiling if the searchlight is located 1000 feet from the observer and the angle of elevation is 30.0° as measured with a clinometer at eye-height 6 feet. (Assume three significant digits.) Please help solve and explain this. : this is a right triangle, one leg is 1000 ft, the other leg is the elevation you are looking for. Use the tangent of 30 degrees, tan(30) = h = 1000(.577345) h = 577.350 ft : However since this triangle is at eye level (6'), elevation will be 577.35 + 6 = 583.35 ft

Travel_Word_Problems/220605: Before going to babysit, Katie met George at Ted and Wally's for a malt. After malts, he stuck around for a while. Katie rode her bike North at 12 mph and it took her 2 hours to get to her babysitting job. He left 15 minutes later, also riding north, but going 16 mph, Did he catch up to her before she got to her job? 1 solutions Answer 165758 by ankor@dixie-net.com(15652)   on 2009-10-03 10:23:39 (Show Source): You can put this solution on YOUR website! Katie rode her bike North at 12 mph and it took her 2 hours to get to her babysitting job. He left 15 minutes later, also riding north, but going 16 mph, Did he catch up to her before she got to her job? : Change 15 min to .25 hrs : Let t = G's travel time then (t+.25) = K's travel time : Find the time required for G to catch up with K : Use the distance equation: dist = speed * time (they will have traveled the same dist when G catches K) : 16t = 12(t+.25) : 16t = 12t + 3 : 16t - 12t = 3 : 4t = 3 t = hrs : Since it would take her 2 hr to get to her job, he did catch up

Quadratic_Equations/220954: hi, i need help in solving an equation using the quadratic formula, i know what the quadratic formula is but i don't know how to apply it to this particular question the question is: 2x^2+7x = 1-2x^2 the fact that it isn't in the form x^2 + bx + c = 0 is making it hard for me solve, at the moment i've got as far as changing the equation to 2x^2+7x - 1-2x^2=0 but i don't know whether thats right or wrong :S thank you! 1 solutions Answer 165745 by ankor@dixie-net.com(15652)   on 2009-10-03 08:54:17 (Show Source): You can put this solution on YOUR website! the question is: 2x^2 + 7x = 1 - 2x^2 : Group like terms on the left 2x^2 + 2x^2 + 7x - 1 = 0 : Combine the like terms 4x^2 + 7x - 1 = 0 : Now it is in the familiar ax^2 + bx + c form that we all recognize and love. where a = 4; b = 7; c = -1 : Hopefully you can take it from here, if not let me know. ankor@att.net

Vectors/220585: My algebra 2 review sheet has problems and there directed as. Add, Subtract or Multiply as indicated this is one of the problems 1.(9x3-4+x2+8)-(7x3-3x+7) The x's in in the first equation is x to the qubed and x squared, on the second equation 7x, that suppose to be qubed too. sorry this maybe confusing and im soooo sorry! i just dont understand. 1 solutions Answer 165744 by ankor@dixie-net.com(15652)   on 2009-10-03 08:26:37 (Show Source): You can put this solution on YOUR website! You can use upper case 6,"^" to indicate an exponent 1.(9x^3 - 4 + x^2 + 8)-(7x^3 - 3x + 7) Remove the brackets Remember, if there is a neg outside the brackets you change the signs 9x^3 - 4 + x^2 + 8 - 7x^3 + 3x - 7 Group like terms 9x^3 - 7x^3 + x^2 + 3x - 4 + 8 - 7 results 2x^3 + x^2 + 3x - 3

Linear-equations/220770: ok i have tried to keep up with my class. i go to an online high school and its hard for me to understand math i have searched my book and other resources but i can't figure out this problem. if you can provide any help or in-site that would be great Question: A line perpendicular to x + 3y = 5 passes through (1,-1). What is the equation of the line in standard form. 1 solutions Answer 165707 by ankor@dixie-net.com(15652)   on 2009-10-02 21:49:34 (Show Source): You can put this solution on YOUR website! A line perpendicular to x + 3y = 5 passes through (1,-1). What is the equation of the line in standard form. : Arrange the equation to slope intercept form to find the slope (m1) x + 3y = 5 subtract x from both sides 3y = -x + 5 Divide both sides by 3 y = x + ; The slope m1 = The relationship of perpendicular lines is given by m1*m2 = -1 we know m1 = , find m2 *m2 = -1 Multiply both sides by -3 m2 = -3(-1) m2 = +3 : Use the point/slope formula to find the equation of the perpendicular line y - y1 = m(x - x1) Assign the values as follows: m=3; x1 = 1; y1 = -1 y - (-1) = 3(x - 1) y + 1 = 3x - 3 y = 3x - 3 - 1 y = 3x - 4 Put in the standard form 3x - y = 4; is the equation of the perpendicular line : Did this make sense to you, any questions?

Trigonometry-basics/220845: Hi Dear Tutor, Please Please Please Help me with this awful problem!!!! I can't figure out how to solve it! thank you so much!!! Please help me with this problem by completing the square. 9x^2-18x=-3 1 solutions Answer 165704 by ankor@dixie-net.com(15652)   on 2009-10-02 21:25:14 (Show Source): You can put this solution on YOUR website! 9x^2 - 18x = -3 We want the coefficient of x^2 to 1, divide equation by 9 x^2 - 2x = x^2 - 2x = x^2 - 2x ____ = Find the 3rd term to complete the square (-2/2)^2 +1 x^2 - 2x + 1 = + 1; add 1 to both sides x^2 - 2x + 1 = + x^2 - 2x + 1 = Which is: (x - 1)^2 = Find the square root of both sides x - 1 = +/- Two solutions x = 1 + And x = 1 - : How about this? Did it make sense to you?

Numbers_Word_Problems/220445: Three times the result of subtracting a certain number from 5 gives the same answer as dividing the number by 3. Find the number. 1 solutions Answer 165676 by ankor@dixie-net.com(15652)   on 2009-10-02 16:25:35 (Show Source): You can put this solution on YOUR website! Let x = "a certain number" : Three times the result of subtracting a certain number from 5 gives the same answer as dividing the number by 3. 3(5-x) = Multiply both sides by 3, results: 3*3(5-x) = x 9(5 - x) = x 45 - 9x = x 45 = x + 9x 45 = 10x x = x = 4.5 is the number : : Check solution in the statement: "Three times the result of subtracting a certain number from 5 gives the same answer as dividing the number by 3." 3(5 - 4.5) = 4.5/3 3(.5) = 1.5

Numbers_Word_Problems/220489: the sum of two numbers is -11. twice the first nuber minus the second is 32. find the numbers. 1 solutions Answer 165672 by ankor@dixie-net.com(15652)   on 2009-10-02 16:18:13 (Show Source): You can put this solution on YOUR website! let x & y be the two numbers : Write an equation for each statement: : "the sum of two numbers is -11." x + y = -11 ; "twice the first number minus the second is 32." 2x - y = 32 -y = -2x + 32 Multiply equation by -1 y = 2x - 32 : Substitute (2x-32) for y in the 1st equation x + 2x - 32 = -11 3x = -11 + 32 3x = 21 x = x = 7 : Find y using the 2nd equation 2x - y = 32 2(7) - y = 32 14 - y = 32 -y = 32 - 14 -y = 18 y = -18 ; : Check solution in 1st equation 7 - 18 = -11 : find the numbers. 7 & -18

Graphs/220244: how can i convert 2x+3y<9 correctly in steps? 1 solutions Answer 165428 by ankor@dixie-net.com(15652)   on 2009-10-01 15:22:11 (Show Source): You can put this solution on YOUR website! how can i convert 2x + 3y < 9 correctly in steps? 2x + 3y < 9 : Subtract 2x from both sides 3y < -2x + 9 : Divide both sides by 3: y < x + y < x + 3 Graph this: Area of feasibility is below the line