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 Graphs/218389: Addition method 5x-2y=-1 7x+4y=531 solutions Answer 164488 by checkley77(12569)   on 2009-09-28 15:48:50 (Show Source): You can put this solution on YOUR website!5x-2y=-1 multiply by 2 & add 7x+4y=53 10x-4y=-2 ------------------ 17x=51 x=51/17 x=3 ans. 5*3-2y=-1 15-2y=-1 -2y=-1-15 -2y=-16 y=-16/-2 y=8 ans. Proof: 7*3+4*8=53 21+32=53 53=53
 Numbers_Word_Problems/218000: A rectangle is twice as wide as it is long. If the area is 578 square meters, what are the dimensions of the rectangle?1 solutions Answer 164256 by checkley77(12569)   on 2009-09-27 19:43:06 (Show Source): You can put this solution on YOUR website!XY=578 X=2Y 2Y*Y=578 2Y^2=578 Y^2=578/2 Y^2=289 Y=SQRT289 Y=17 METERS IS THE WIDTH. X=2*17=34 FOR THE LENGTH. pROOF 34*17=578 578=578
 Systems-of-equations/218003: determine whether the given ordered pair is a solution to the system. (-2,-3) 3x + y = -9 2x + 3y = 51 solutions Answer 164254 by checkley77(12569)   on 2009-09-27 19:39:28 (Show Source): You can put this solution on YOUR website!(-2,-3) 3x + y = -9 3*-2-3=-9 -6-3=-9 OK. ----------------- 2x + 3y = 5 2*-3+3*-3=5 -6-9=5 -15 does not = 5 NOT OK.
 Graphs/217917: find the equation of the line havindg the specified slope and containing the indicated point, write answer in slope intercept form m= -6 (-8,6)1 solutions Answer 164251 by checkley77(12569)   on 2009-09-27 19:35:57 (Show Source): You can put this solution on YOUR website!Y=mX+b m= -6 (-8,6) 6=-6*-8+b 6=48+b b=6-48 b=-42 the Y intercept. Y=-6X-42 is the line equation. (graph 300x200 pixels, x from -10 to 5, y from -50 to 10, -6x -42).
 Miscellaneous_Word_Problems/217926: use an area model to factor x^2-x-12 check with multiplication1 solutions Answer 164248 by checkley77(12569)   on 2009-09-27 19:30:44 (Show Source): You can put this solution on YOUR website!x^2-x-12 (x-4)(x+3) x-4 x+3 ----------------- x^2-4x+3x-12 x^2-x-12 proof:
 Angles/217963: if an angle is twelve less than twice its complement, what is the angle's measure?1 solutions Answer 164244 by checkley77(12569)   on 2009-09-27 19:22:27 (Show Source): You can put this solution on YOUR website!x+y=90 x=90-y x=2y-12 2y-12=90-y 2y+y=90+12 3y=102 y=102/3 y=34 degrees ans. x=2*34-12=68-12=56 ans. Proof: 56+34=90 90=90
 Travel_Word_Problems/217967: a twin-engined air craft can fly 1200 miles from city a to city b in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?1 solutions Answer 164242 by checkley77(12569)   on 2009-09-27 19:19:42 (Show Source): You can put this solution on YOUR website!1,200/5=240 mph with thwe wind. 1,200/8=150 mph against the wind. (240-150)/2=90/2=45 mph is the wind speed. Proof: 240-45=195 speed of the plane in still air. 150+45=195 ditto.
 Graphs/217968: Find th eslope and the y intercept of the line. Whrite the fractional answer in lowest terms. Y= - 3/10x - 5/71 solutions Answer 164238 by checkley77(12569)   on 2009-09-27 19:16:29 (Show Source): You can put this solution on YOUR website!Y=mX+b m=slope & b=the Y intercept. Y=-3X/10-5/7 ans. in lowest fractional terms.
 Linear-equations/217971: Find the slope and y intercept Y=3.9x -71 solutions Answer 164237 by checkley77(12569)   on 2009-09-27 19:13:04 (Show Source): You can put this solution on YOUR website!Y=mX+b where (m)=slope & (b)= the Y intercept. Y=3.9X -7 The slope (m)=3.9 The y intercept=-7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3.9x -7).
 Expressions-with-variables/217891: The problem is: 3x+2y=4 2x-3y=6 I can only get so far in this problem and then I'm stuck. Here's how far I can get: 3x=-2y+4 3x/3=-2/3y+4/3 x=-2/3y+4/3 Now if I substitute this into the 2nd equation, I have: 2(-2/3y+4/3)-3y=6 This is where I get stuck, it doesn't make any sense. I have looked in the back of the student manual that works with my textbook ( Miller//O'Neil//Hyde: Beginning & Intermediate Algebra, 2nd edition) and it just doesn't click. Any help would be greatly appreciated! Lisa 1 solutions Answer 164232 by checkley77(12569)   on 2009-09-27 18:57:55 (Show Source): You can put this solution on YOUR website!3x=-2y+4 3x/3=-2y/3+4/3 x=-2y/3+4/3 Now if I substitute this into the 2nd equation 2x-3y=6, I have: 2(-2y/3+4/3)-3y=6 -4y/3+8/3-3Y=6 -4Y/3-3Y=6-8/3 combine the y terms by finding a common denominator (3). (-4Y-3Y*3)/3=(6*3-8)/3 (-4Y-9Y)/3=(18-8)/3 cancel out the 3 in the denominators. -13y=10 y=-10/13 ans. Replace y by (-10/13) in the first equation. 3x=-2(-10/13)+4 3x=20/13+4 divide both sides by 3. x=20/13*1/3+4/3 x=20/39+4/3 find the common denominator (39). x=(20+4*13)/39 x=(20+52)/39 x=72/39 reduce the fraction. x=24/13 ans.
 Numbers_Word_Problems/217894: Duhwa is 4 years more than 22 times as old Amy. If the sum of their ages is 96, how old is Duhwa?1 solutions Answer 164224 by checkley77(12569)   on 2009-09-27 18:36:54 (Show Source): You can put this solution on YOUR website!D=22A+4 D+A=96 22A+4+A=96 23A=96-4 23A=92 A=92/23 4 YEARS OLD IS AMY'S AGE DUHWA'S AGE=22*4+4=88+4=92 YEARS OLD IS DUHWA'S AGE. PROOF:92+4=96 96=96
 Triangles/217905: The lengths of the sides of a triangle are all whole numbers. The triangle has a perimeter (distance around the shape) of M units. If someone gives you a value for M, determine the shortest possible length of a side. this is a problem my teacher asigned us for the wekkend i have worked on it for two hourrs but nothing is making sense. im not sure what to do at all. PLEASE HELP ME1 solutions Answer 164220 by checkley77(12569)   on 2009-09-27 18:32:26 (Show Source): You can put this solution on YOUR website!YOU DIDN'T STATE THAT THIS TRIANGLE IS A RIGHT TRIANGLE OR NOT. IT DOES MAKE A DIFFERENCE. PERIMETER (M)=A+B+C FOR ALL TRIANGLES. LET M=12 A RIGHT TRIANGLE COULD BE: 3+4+5=12 BECAUSE 3^3+4^2=5^2 9+16=25 25=25 THUS THE SMALLER SIDE WOULD BE 3. HOWEVER A NON-RIGHT TRIANGLE WOULD HAVE A DIFFERENT SOLUTION GIVEN AN (M) VALUE. TRY (M)=47 THE SHORTEST SIDE COULD BE 1. A+B+C=47 1+B+C=47 1+23+23=47 (THIS TECHNIQUE WORKS AS LONG AS THE DIFFERENCE BETWEEN THE B & C SIDES IS < THE A SIDE.) 47=47 THIS WORKS FOR ANY PERIMETER = AN ODD NUMBER. LETS TRY AN EVEN NUMBER: (M)=74 A+B+C=74 2+B+C=74 2+36+34=74 (AGAIN THE DIFFERENCE BETWEEN B & C IS < A SIDE.) 74=74
 Polynomials-and-rational-expressions/217910: Please help me simplify this problem; 9y^2 + 18y - 12 --------------- 3 Also can you help me complete the factor on these problems; 1. 4x^2y - 8xy 2. 2x^2 - 22x + 60 I really can use the help, I have been stuck on these three problem.1 solutions Answer 164208 by checkley77(12569)   on 2009-09-27 17:57:22 (Show Source): You can put this solution on YOUR website!9y^2 + 18y - 12 --------------- DIVIDE ALL THE NUMERATOR TERMS BY 3 3 3Y^2+6Y-4 ANS. ------------------------------ Also can you help me complete the factor on these problems; 1. 4x^2y - 8xy FACTOR OUT THE 4XY COMMON TERMS. 4XY(X-2) ANS ----------------------------------------------- 2. 2x^2 - 22x + 60 FACTOR OUT THE 2 COMMON TERMS. 2(X^2-11X+30) 2(X-6)(X-5) ANS.
 Polynomials-and-rational-expressions/217912: For this problem I have to simplify. I have tried it several times and so not understand it. (v-7/v-9)-(v+1/v+9)+(v-45/v^2-81)= Please help me to solve this. I really would appreciate it. Thanks1 solutions Answer 164203 by checkley77(12569)   on 2009-09-27 17:50:49 (Show Source): You can put this solution on YOUR website!(v-7/v-9)-(v+1/v+9)+(v-45/v^2-81) IF you mean: (v-7)/(v-9)-(v+1)/(v+9)+(v-45)/(v^2-81) then: (v-7)/(v-9)-(v+1)/(v+9)+(V-45)/(V+9)(V-9) FACTOR THE LAST DENOMINATOR. [(V-7)(V+9)-(V-1)(V-9)+(V-45)]/(V+9)(V-9) EXPAND THE FIRST BTWO NUMERATORS. (V^2+2V-63-V^2+10V-9+V-45)/(V+9)(V-9) COMBINE KIKE TERMS IN THE NUMERATOR. (13V-117)/(V+9)(V-9) 13(V-9)/(V+9(V-9) CANCEL OUT THE (V-9) TERMS. 13/(V+9) ANS.
 Distributive-associative-commutative-properties/217923: 4x(-6x to the fifth power)1 solutions Answer 164198 by checkley77(12569)   on 2009-09-27 17:35:27 (Show Source): You can put this solution on YOUR website!4x(-6x to the fifth power) 4x(-6x)^5=4x*-7,776x^5=-31,104x^6 ans. OR: 4x*(-6x^5)=-24x^6 ans.
 Graphs/217915: please determine the slope and the y intercept 15y+2x+6=4+2x1 solutions Answer 164194 by checkley77(12569)   on 2009-09-27 17:28:46 (Show Source): You can put this solution on YOUR website!y=mx+b 15y+2x+6=4+2x 15y=2x-2x+4-6 15y=-2 y=-2/15 The slope (m) here is 0. The y intercept (b)=-2/15.
 Graphs/217918: find equation that passes through the follwoing set of points (-9,6) and (0,4)1 solutions Answer 164193 by checkley77(12569)   on 2009-09-27 17:24:44 (Show Source): You can put this solution on YOUR website!(-9,6) and (0,4) Slope=(4-6)/(0+9)=-2/9 Y=-2X+b 4=-2/9*0+b 4=b the y intercept. Y=-2x/9+4 is this line equation. (graph 300x200 pixels, x from -10 to 18, y from -10 to 10, -2x/9 +4).
 Trigonometry-basics/217858: find the vertex and the axis of symmetry of the parabola y=6x2+11x1 solutions Answer 164188 by checkley77(12569)   on 2009-09-27 17:17:22 (Show Source): You can put this solution on YOUR website!y=6x^2+11x (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 6x^2 +11x). Symmetry (x)=-b/2a=-11/2*6=-11/12 ans. When x=-11/12 then: y=6(-11/12)^2+11(-11/12) y=6*.8403-121/12 y=5.042-10.083 y=-5.041 The vertex is (-11/12,-5.041)
 Functions/217859: if f(x)=6x+7 f(r-2) i dont know how to plug in the numbers??1 solutions Answer 164181 by checkley77(12569)   on 2009-09-27 16:26:29 (Show Source): You can put this solution on YOUR website!if f(x)=6x+7 f(r-2) Just substitute (r-2) for x and solve for r. f(r-2)=6(r-2)+7 f(r-2)=6r-12+7 f(r-2)=6r-5 ans.
 Polynomials-and-rational-expressions/217860: multiply: (3X-2)^31 solutions Answer 164180 by checkley77(12569)   on 2009-09-27 16:23:50 (Show Source): You can put this solution on YOUR website!(3X-2)^3 3X+2 3X+2 -------------- 9X^2+6X+6X+4 9X^2+12X+4 3X+2 --------------- 27X^#+36X^2+12X+18X^2+24X+8 27X^3+54X^2+36X+8 ANS.
 Equations/217862: What does the x's equal? -10=1/2x+x1 solutions Answer 164179 by checkley77(12569)   on 2009-09-27 16:19:58 (Show Source): You can put this solution on YOUR website!-10=1/2x+x -10=X/2+X -10=(X+2X)/2 -10*2=3X 3X=-20 X=-20/3 ANS. PROOF: -10=(-20/3)/2-20/3 -10=-20/3*1/2-20/3 -10=-20/6-20/3 -10=(-20-20*2)/6 -10=(-20-40)/6 -10=-60/6 -10=-10
 Angles/217871: Angle A and angle B are complementary angles and angle A is 6 degrees more than three times angle B. Find the measures of angle A and angle B1 solutions Answer 164177 by checkley77(12569)   on 2009-09-27 16:15:05 (Show Source): You can put this solution on YOUR website!A+B=90 A=90-B A=3B+6 90-B=3B+6 -B-3B=6-90 -4B=-84 B=-84/-4 B=21 DEGREES. A=3*21+6 A=63+6 A=69 DEGREES. PROOF: 21+63=90 90=90
 Polynomials-and-rational-expressions/217873: Please help me figure this problem out. The directions state to find each product. (2/3y - 1/2)^21 solutions Answer 164176 by checkley77(12569)   on 2009-09-27 16:11:10 (Show Source): You can put this solution on YOUR website!2/3y-1/2 2/3y-1/2 multiply ----------------- 4y^2/9-1/2*2y/3-1/2*2y/3+1/4 4y^2/9-2y/6-2y/6+1/4 4y^2/9-4y/6+1/4 [(4*4y^2-6*4y+9)]/36 [(16y^2-24y+9)]/36 (4x-3)(4x-3)/36 ans.
 Numbers_Word_Problems/217863: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first. 1 solutions Answer 164173 by checkley77(12569)   on 2009-09-27 15:57:33 (Show Source): You can put this solution on YOUR website!2(x+y)=xy x=8y 2(8y+y)=8y*y 2*9y=8y^2 8y^2-18y=0 2y(4y-9)=0 4y-9=0 4y=9 y=9/4 y=2.25 ans. x=8*2.25 x=18 ans. Proof: 2*(18+2.25)=18*2.25 2*20.25=40.5 40.5=40.5
 Linear-systems/217868: Find an equation of the linear function f using the given info... m=4,b=1, formula is y=mx+b1 solutions Answer 164172 by checkley77(12569)   on 2009-09-27 15:45:19 (Show Source): You can put this solution on YOUR website!FORTUNATELY WE HAVW AVAILABLE THE FORMULA LISTED BELOW TO GRAPH LINEAR EQUATIONS. YOU CAN GRAPH THEM BY MAKING UP A 2 COLUMN CHART FOR THE X & Y VALUES THAT SATISFY THE EQUATION, PLOT THEM & THEN DRAW THE LINE. (Y)=4X+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x +1). --------------------------------------- X---Y 1---5 3---13 -2-(-7)
 Number-Line/217745: Find the sum using a number line. -4 + 61 solutions Answer 164102 by checkley77(12569)   on 2009-09-27 10:16:23 (Show Source): You can put this solution on YOUR website!-4+6=+2 -2 -1 0 +1 +2 +3 +4 ---------------------- ...................^.........
 Travel_Word_Problems/217516: If a person traveled at a rate of 32 mph to visit a nearby town. The person averaged 10 mph on the return trip. if the round trip took 6.3 hours, find the distance to the nearby town. I have figured out that it is 48 miles away but can't figure out how to express this in an algebra formula, any recommendations?1 solutions Answer 164016 by checkley77(12569)   on 2009-09-26 18:57:26 (Show Source): You can put this solution on YOUR website!D=RT 32t=10(6.3-t) 32t=63-10t 32t+10t=63 42t=63 t=63/42 t=1.5 hours for the 32 mph. trip 6.3-1.5=4.8 hours for the return trip. Proof: 32*1.5=10*4.8 48=48 miles to the nearby town.
 Equations/217521: I am having difficulty creating my own algebraic equation for class. I have to write an equation which models how old in years I will be when I am 3 times as old as my younger cousin. I am 33 she is 14. here is what I have tried: 33x=19(3) also I have tried 19x=33(3) I am so confused right now. I think I am going about this all wrong, can you just guide me in the right direction please. Thank you.1 solutions Answer 164004 by checkley77(12569)   on 2009-09-26 18:42:39 (Show Source): You can put this solution on YOUR website!The formula is: (33+x)=3(14+x) 33+x=42+3x -2x=42-33 -2x=9 x=9/-2 x=-4.5 which says 4.5 years ago you were 3 times as old as your cousin. Proof: 33-4.5=3(14-4.5) 28.5=3*9.5 28.5=28.5
 Linear-equations/217525: find the equation of the line that passes through the points (3,-2) and (4,-2).1 solutions Answer 164001 by checkley77(12569)   on 2009-09-26 18:34:22 (Show Source): You can put this solution on YOUR website!(3,-2) and (4,-2). SLOPE=(-2+2)/(4-3)=0/1=0 THIS LINE IS AN HORIZONTAL LINE. -2=0*x+b b=-2 y=-2 is the equation of this line. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2).
 Proportions/217531: I dont understand how to work this problem.. 9/n = 5 over 11/151 solutions Answer 164000 by checkley77(12569)   on 2009-09-26 18:28:48 (Show Source): You can put this solution on YOUR website!9/n = 5 over 11/15 9/N=5/(11/15) 9/N=5*15/11 9/N=75/11 75N=99 N=99/75 N=33/25 ANS.
 Linear_Equations_And_Systems_Word_Problems/217532: If a moving van travels at 35MPH and the family car travels at 50 MPH. How long will it take the car to catch up, if the car leaves 45 minutes after the van?1 solutions Answer 163999 by checkley77(12569)   on 2009-09-26 18:25:16 (Show Source): You can put this solution on YOUR website!35T=50(T-.75) 35T=50T-37.5 35T-50T=-37.5 -15T=-37.5 T=-37.5/-15 T=2.5 HOURS ANS. PROOF: 35*2.5=50(2.5-.75) 87.5=50*1.75 87.5=87.5