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# Recent problems solved by 'checkley75'

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 Miscellaneous_Word_Problems/75473: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.1 solutions Answer 54338 by checkley75(3666)   on 2007-03-24 16:04:26 (Show Source): You can put this solution on YOUR website!1/2 OF THE CORD (12)AND THE RADIUS (13) FORM 2 SIDES OF A RIGHT TRIANGLE. THE THIRD SIDE IS THE DISTANCE FROM THE CENTER. THUS: 12^2+X^2=13^2 144+X^2=169 X^2=169-144 X^2=25 X=5 DISTANCE FROM THE CENTER.
 Polynomials-and-rational-expressions/75513: Multiply 8pq2(2pq - 3p + 5q) thank you1 solutions Answer 54337 by checkley75(3666)   on 2007-03-24 15:58:13 (Show Source): You can put this solution on YOUR website!8PQ^2(2PQ-3P+5Q)=16P^2Q^3-24P^2Q^2+40PQ^3
 Functions/72003: Help please: Please show and explain work Question 23 (Worth 2 points) Find the product (x+5)(x+7). Question 29 (Worth 2 points) Solve the inequality and describe the graph of the solution. -3x + 4 > 7 Question 31 (Worth 2 points) Which of the following relations is NOT a function? (2,1), (1,-2), (-3,2), (2,-3) (2,-1), (-1,2), (-2,3), (3,-2) (-3,-2), (-1,0), (0,1), (1,2) (-2,1), (-1,2), (1,1), (2,3) Question 36 (Worth 2.0 points) What is the degree of this polynomial: 3x3 - 2y4 + 2xy2 Question 41 (Worth 2 points) Solve the following expression when x = 4, and y = -3. 2(x-2y) Answer blank 1: Answer not accepted. Expected Answer: 20 Question Information: 2[4-2(-3)]= 2(4+6)= 2(10)= 20 Question 44 (Worth 2 points) Find: - 8xy(4x2y + 7x - 6y2) Question 46 (Worth 2 points) Solve the following system of equations using the substitution method: 4x - y = -6 x + 2y = 3 1 solutions Answer 54336 by checkley75(3666)   on 2007-03-24 15:54:54 (Show Source): You can put this solution on YOUR website!(X+5)(X+7)=X^2+5X+7X+35=X^2+12X+35 3X+4>7, 3X>7-4, X>3/3, X>1 (NO GRAPH) THE REST I LEAVE UP TO YOU. WE SOLVE PROBLEMS. WE DON'T DO HOMEWORK!
 Systems-of-equations/75645: 5) The first side of a triangle is 5 inches less than the second side, and the third side is twice as long as the first sides. If the perimeter of the triangle is 33 iches, find the lengths of the sides of the triangle. 6) The shortest side of a triangle is 8 feet less than the medium side, and the longest side is 4 feetlonger than 3 times the shortest side. If the perimeter is 27 feet, find the length of the shortest side. 1 solutions Answer 54335 by checkley75(3666)   on 2007-03-24 15:49:04 (Show Source): You can put this solution on YOUR website!LET X BE THE SECOND SIDE X-5 IS THE FIRST SIDE 2(X-5) IS THE THIRD SIDE NOW WE ADD ALL THREE SIDES & SET THEM EQUAL TO 33 X+(X-5)+2(X-5)=33 4X-5-10=33 4X=33+15 4X=48 X=48/4 X=12 INCHES FOR THE FIRST SIDE 12-5=7 FOR THE SECOND SIDE & 2(12-5)=2*7=14 FOR THE THIRD SIDE PROOF 12+7+14=33 33=33 ------------------------------------------------------- LET M=MEDIUM SIDE M-8=SHORTEST SIDE 3(M-8)+4=LONGEST SIDE M+(M-8)+3(M-8)+4=27 M+M-8+3M-24+4=27 5M=27+8+24-4 5M=55 M=55/5 M=11 THE MEDIUM SIDE THE SHORTEST SIDE IS 11-8=3 FEET.
 Quadratic_Equations/75651: I appreciate your help,I really need some help with this. Solve the following equations. a)3x^2+bx-3=0 b)5x^2+bx+1=0 c)-3x^2+bx-3=0 d) Write a rule for judging if an equation has solutions by looking at it in standard form. Thanks a bunch!1 solutions Answer 54334 by checkley75(3666)   on 2007-03-24 15:38:28 (Show Source): You can put this solution on YOUR website!3X^2+BX-3 (3X-3)(X+1) BX=0X OR (3X+1)(X-3) BX=-8X ------------------------------------- 5X^2+BX+1 (5X-1)(X-1) BX=-6X OR (5X+1)(X+1) BX=6X -------------------------------------- -3X^2+BX-3 (-3X-3)(X+1) BX=-6X OR (3X+1)(-X-3) BX=-10X -------------------------------------- DON'T KNOW IF THERE IS A SIMPLE RULE BUT TRY THIS ONE WHEN THE AX^2 TERM HAS AN (A) VALUE=1 THEN THE SUM OR DIFFERENCE OF THE FACTORS OF THE (AX^2+BX+C) (C) VALUE=THE (B) VALUE - THEN IT IS FACTORABLE. EXAMPLE: X^2+9X+20 FACTORS OF 20 ARE 4&5 WHICH WHEN ADDED EQUAL 9 THUS: (X+4)(X+5)=X^2+9X+20 FACTORS OF -20 ARE -4&5 OR 4&-5 AND WHEN ADDED MUST EQUAL -1 X^2-X-20=(X+4)(X-5) X^2-21X+20 FACTORS HERE ARE -1&-20, 1&20 BUT THE SET THAT ADDS UP TO -21 ARE -1&-20 (X-1)(X-20)
 Polynomials-and-rational-expressions/75516: Multiply, using the vertical method. (2r - 3s)(4r2 + 6rs + 9s2) thank you1 solutions Answer 54310 by checkley75(3666)   on 2007-03-23 20:26:13 (Show Source): You can put this solution on YOUR website!4R^2+6RS+9S^2 2R-3S ------------------------------------ 8R^3+12R^2S+18RS^2-12RS-18RS^2-27S^3 NOW COMPINE COMMON TERMS THUS: 8R^3+12R^2S-12RS-27S^3
 Equations/75635: Determin the best method to solve the system of equations. Then solve the system. 5x-2y=7 2x+5y=-31 solutions Answer 54309 by checkley75(3666)   on 2007-03-23 20:19:52 (Show Source): You can put this solution on YOUR website!PROCESS OF ELIMINATION WOULD BE MY VOTE. MULTIPLY EQUATION #1 BY 2 & EQUATION #2 BY -5. 2(5X-2Y=7), 10X-4Y=14 -5(2X+5Y=-3), -10-25Y=15 NOW ADD THESE 2 EQUATIONS THUS: 10X-4Y=14 -10X-25Y=15 --------------------------- 0X-29Y=29 Y=29/-29 Y=-1 ANSWER. NOW SUBSTITUTE -1 FOR Y AND SOLVE FOR X 5X-2*-1=7 5X+2=7 5X=7-2 5X=5 X=5/5 X=1 ANSWER. PROOF 2*1+5*-1=-3 2-5=-3 -3=-3
 Equations/75628: solve... 8y+ 7y -12 = 4y1 solutions Answer 54307 by checkley75(3666)   on 2007-03-23 20:10:09 (Show Source): You can put this solution on YOUR website!8Y+7Y-12=4Y 8Y+7Y-4Y=12 11Y=12 Y=12/11
 Equations/75634: Espression 0.46X10^3 in scientific notation Is this correct? -11 solutions Answer 54306 by checkley75(3666)   on 2007-03-23 20:06:58 (Show Source): You can put this solution on YOUR website!0.46X10^3=4.6X10^2 OR 0.46*10^3=4.6*10^2
 Exponents/75631: y=x^2-7 1 solutions Answer 54305 by checkley75(3666)   on 2007-03-23 20:04:16 (Show Source): You can put this solution on YOUR website! (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -7).
 Graphs/75633: find the slope and y-intercept of the line which is the graph of the equation 2y=5(x+1)1 solutions Answer 54304 by checkley75(3666)   on 2007-03-23 20:01:44 (Show Source): You can put this solution on YOUR website!2Y=5(X+1) 2Y=5X+5 Y=5X/2+5/2 THE SLOPE OF THIS LINE IS (5/2) & THE Y INTERCEPT IS (0,5/2) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x/2 +5/2).
 Polynomials-and-rational-expressions/75550: The distance from a star to a planet is 3.1x10^18m. How long does it take light, traveling at 10^16m/year, to travel from the star to the planet?1 solutions Answer 54199 by checkley75(3666)   on 2007-03-22 21:53:57 (Show Source): You can put this solution on YOUR website!YOU NEED TO DIVIDE THE NUMERIC VALUES THUS: 3.1/1=3.1 NOW SUBTRACT THE EXPONENTS OF THE 10 VALUE THUS: 18-16=2 THUS WE HAVE AS A RESULT: 3.1*10^2 3.1*10^18/10^16=3.1*10^2 M/YEARS TO REACH THE THE PLANET.
 Polynomials-and-rational-expressions/75548: can you tell me if i factored this correctly? 64x^2-1 =x(2+8)1 solutions Answer 54197 by checkley75(3666)   on 2007-03-22 21:51:04 (Show Source): You can put this solution on YOUR website!64X^2-1 (8X-1)(8X+1) ----------------------------------- WHERE DID YOU GET X(2+8) WHICH EQUALS 10X WHEN YOU STARTED WITH (64X^2-1)??
 Polynomials-and-rational-expressions/75540: could some one check for me please? b^2-ab-6a^2 =(b+6a)(b-a)1 solutions Answer 54196 by checkley75(3666)   on 2007-03-22 21:47:02 (Show Source): You can put this solution on YOUR website!B^2-AB-6A FACTOR 6 INTO 2 COMPONENTS WHOSE DFFERENCE IS -1. (B-3A)(B+2A)
 Geometry_Word_Problems/75472: This question is from textbook Concrete is sold by the yard, which means by the cubic yard. It costs \$70 per yard. How many cubic feet are in a cubic yard? How much would it cost to pour a slab that is 14ft by 16ft by 6in for a patio?1 solutions Answer 54195 by checkley75(3666)   on 2007-03-22 21:44:01 (Show Source): You can put this solution on YOUR website!THERE ARE 3*3*3=27 CUBIC FEET IN A CUBIC YARD. 14*16*.5=112 CUBIC FEET FOR THE SLAB. 112/29=3.86 CUBIC YARDS. 3.86*70=\$270.20 FOR THE 112 CUBIC FEET (3.86 CUBIC YARDS).
 Polynomials-and-rational-expressions/75480: Find each of the following squares. (7p + 6q)^2 1 solutions Answer 54193 by checkley75(3666)   on 2007-03-22 21:38:30 (Show Source): You can put this solution on YOUR website!7P*7P=49P^2 7p*6Q=42PQ 6q*7P=42PQ 6Q*6Q=36Q^2 NOW COMBINE ALL COMMON TERMS. THUS: 49P^2+84PQ+36P^2
 Polynomials-and-rational-expressions/75484: Find each of the following products. a(a + 5)(a - 5) 1 solutions Answer 54191 by checkley75(3666)   on 2007-03-22 21:36:40 (Show Source): You can put this solution on YOUR website!A(A^2-25) A^3-25A
 Polynomials-and-rational-expressions/75485: For the following problem, let x represent the number and then write an expression for the product. The square of 5 more than a number 1 solutions Answer 54189 by checkley75(3666)   on 2007-03-22 21:35:05 (Show Source): You can put this solution on YOUR website!(X+5)^2
 Polynomials-and-rational-expressions/75486: Geometry. A square has sides of length 3x – 2cm. Express the area of the square as a polynomial. 1 solutions Answer 54188 by checkley75(3666)   on 2007-03-22 21:33:41 (Show Source): You can put this solution on YOUR website!AREA=(3X-2)(3X-2)=9X^2-12X+4 CM. IS THE AREA OF THE SQUARE.
 Circles/75495: a swimming pool has the shape of a semi-circle. if the area is 308 square meters, find the perimeter of the pool.[pi=22/7] 1 solutions Answer 54187 by checkley75(3666)   on 2007-03-22 21:31:06 (Show Source): You can put this solution on YOUR website!AREA OF A CIRCLE=PI*R^2 308=(22/7*R^2)/2 CROSS MULTIPLY (22/7*R^2)=616 22R^2/7=616 CROSS MULTIPLY AGAIN 22R^2=616*7 22R^2=4312 R^2=4312/22 R^2=196 R=14 METERS IS THE RADIUS OF THE POOL.
 Polynomials-and-rational-expressions/75496: This question is from textbook Elementary algebra (x+2) to the 3 power. I'm only getting half of this right....I am spreading it out, three times, and cross multipling but it's not working. Thanks for your help Wasn't sure how to put the power in.1 solutions Answer 54185 by checkley75(3666)   on 2007-03-22 21:25:38 (Show Source): You can put this solution on YOUR website!X+2 X+2 ---------------- X^2+2X+2X+4 X^2+4X+4 X+2 -------------------- X^3+4X^2+4X+2X^2+8X+8 X^3+6X^2+12X+8 ANSWER. --------------------------------------- YOUR ANSWER & MY ANSWER IS THE SAME. YOU NEED TO MULTIPLY EVERY TERM FROM THE FIRST MULTIPLICATION BY (X+2)
 Miscellaneous_Word_Problems/75501: Randall has been to bat 45 times so far this season. he has gotten 10 hits for a batting average of .222. how many consecutive hits would he get to raise his batting average to .3001 solutions Answer 54182 by checkley75(3666)   on 2007-03-22 21:21:58 (Show Source): You can put this solution on YOUR website!(10+X)/(45+X)=.5 CROSS MULTIPLY .5(45+X)=10+X 22.5+.5X=10+X X-.5X=22.5-10 .5X=12.5 X=12.5/.5 X=25 CONSECUTIVE AT HITS WILL RAISE THE AVERAGE TO 500 PROOF 35/70=.5
 Expressions-with-variables/75506: Social science. If there are 6 x 10(9th power) people on the Earth and there is enough freshwater to provide each person with 8.79 x 10(5th power) L, how much freshwater is on the Earth? thanks1 solutions Answer 54179 by checkley75(3666)   on 2007-03-22 21:16:42 (Show Source): You can put this solution on YOUR website!6*10^9*8.79*10^5 6*8.79*10^14 52.74*10^14 5.274*10^15 LITERS OF FRESH WATER.
 Polynomials-and-rational-expressions/75507: Remove the parentheses in each of the following expressions and simplify when possible. 8d - (-7c - 2d) thanks1 solutions Answer 54178 by checkley75(3666)   on 2007-03-22 21:12:52 (Show Source): You can put this solution on YOUR website!8D-(-7C-2D) 8D+7C+2D 10D+7C
 Quadratic_Equations/75508: how do i solve x squared - 34 + 15, and how can i do it before tomorrow, 3-23-07, i have a MAJOR test tomorrow and stressing REALLY REALLY BAD over it 1 solutions Answer 54176 by checkley75(3666)   on 2007-03-22 21:11:19 (Show Source): You can put this solution on YOUR website!X^2-34+15 X^2-19
 Polynomials-and-rational-expressions/75510: Add, using the vertical method. 5x2 + 2x - 4, x2 - 2x - 3, and 2x2 - 4x - 3 thanks1 solutions Answer 54175 by checkley75(3666)   on 2007-03-22 21:09:43 (Show Source): You can put this solution on YOUR website!5X^2+2X-4 X^2-2X-3 2X^2-4X-3 ----------------------------- 8X^2-4X-10 2(4X^2-2X-5)
 Polynomials-and-rational-expressions/75511: Subtract, using the vertical method. 7x2 + 6x from 9x2 - 3 thank you1 solutions Answer 54174 by checkley75(3666)   on 2007-03-22 21:07:06 (Show Source): You can put this solution on YOUR website!9X^2-3 -(7X^2+6X) ------------- 2X^2-6X-3
 Polynomials-and-rational-expressions/75512: Geometry. A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the polynomial that represents its perimeter. thank you1 solutions Answer 54172 by checkley75(3666)   on 2007-03-22 21:04:16 (Show Source): You can put this solution on YOUR website!3X+7 4X-9 5X+6 NOW ADD ALL THREE ------------------- 12X+4 4(3X+1)
 Polynomials-and-rational-expressions/75514: Multiply. (x - 10)(x + 9)1 solutions Answer 54171 by checkley75(3666)   on 2007-03-22 21:02:04 (Show Source): You can put this solution on YOUR website!(X-10)(X+9) X^2-10X+9X-90 X^2-X-90
 Percentage-and-ratio-word-problems/75522: This question is from textbook Elementary algebra How can \$5400 be invested, part of it at 8% and the remainder at 10%, so that the two investments with produce the same amount of interest? Thanks 1 solutions Answer 54170 by checkley75(3666)   on 2007-03-22 20:59:53 (Show Source): You can put this solution on YOUR website!.08X=.10(5400-X) .08X=540-.10X .08X+.10X=540 .18X=540 X=540/.18 X=3000 INVESTED @ 8% 5400-3000=2400 INVESTED @ 10% PROOF 3000*.08=2400*.10 240=240
 Geometry_Word_Problems/75524: This question is from textbook McDougal Littell Middle School Math Course 2 2004 Hi - Please help. My son has a problem on a worksheet that I cannot help him figure out. An 18 Ft ladder is leaning against a wall. If the base of the ladder is 9 Ft from the wall, how far up the wall will the ladder reach? Thank You!! 1 solutions Answer 54168 by checkley75(3666)   on 2007-03-22 20:55:14 (Show Source): You can put this solution on YOUR website!USING THE PATHAGORIAN FORMULA A^2+B^2=C^2. WE GET: 9^2+X*2=18^2 81+X^2=324 X^2=324-81 X^2=243 X=15.588 FEET IS THE DISTANCE UP THE WALL THE LADDER REACHES.