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# Recent problems solved by 'MathLover1'

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 Polynomials-and-rational-expressions/651356: 8/r^3s^2 divided by 6/rs^41 solutions Answer 407611 by MathLover1(6632)   on 2012-09-14 09:07:44 (Show Source):
 Sequences-and-series/651209: What is the nth number in the sequence? 1,5,12,22...n1 solutions Answer 407579 by MathLover1(6632)   on 2012-09-13 22:06:09 (Show Source): You can put this solution on YOUR website!your sequence represents numbers are given by with n=0, +/-1, +/-2, ... in your case we will start with
 Length-and-distance/651177: Find the midpoint of the segment with endpoints (√48, √6) and (√3,√24)1 solutions Answer 407571 by MathLover1(6632)   on 2012-09-13 21:30:23 (Show Source): You can put this solution on YOUR website!(, ) and (,) the midpoint of the segment:(,( ) (,( ) (,( ) (, )
 Expressions-with-variables/651149: a^2 - 64 = 0 solve and express in simplest radical form1 solutions Answer 407570 by MathLover1(6632)   on 2012-09-13 21:06:38 (Show Source): You can put this solution on YOUR website! and
 Numeric_Fractions/651127: 5/4 times 7/10 equal what?1 solutions Answer 407559 by MathLover1(6632)   on 2012-09-13 20:28:30 (Show Source):
 Polynomials-and-rational-expressions/651113: What type of polynomial can 25k2+10k +1 be classified as ? why? Thank you, for all your help have nice day! :) 1 solutions Answer 407555 by MathLover1(6632)   on 2012-09-13 20:01:55 (Show Source): You can put this solution on YOUR website! Polynomials are classified according to two attributes: of and . your polynomial has terms, , and a polynomial with is a The of a polynomial is the of the degrees of its monomial terms. So, your polynomial has the degree .
 test/651107: Q/8 = 4/51 solutions Answer 407552 by MathLover1(6632)   on 2012-09-13 19:49:15 (Show Source):
 test/651092: One number is eight less than twice the other their sum is 100 what are the numbers1 solutions Answer 407550 by MathLover1(6632)   on 2012-09-13 19:39:28 (Show Source): You can put this solution on YOUR website! let's and be the numbers if the number is eight less than twice the , we have ........1 if their sum is ,we have ...........2 now, we have to solve this system: ........1 - ...........2 ______________________ we can subtract 2 from 1 ...now find ...........2
 Angles/651077: m< ABD =(12x-12)degrees, m< BDE = (3x+48) degrees1 solutions Answer 407549 by MathLover1(6632)   on 2012-09-13 19:25:12 (Show Source): You can put this solution on YOUR website!< and < are ; so, they add up to degrees if < degrees, < degrees, then ... now you can first find now you can find {{x}}} < and < m< degrees, m< degrees m< degrees m< degrees m< m< m< m< degrees
Matrices-and-determiminant/651018: how do i determine whether (1,-5,10) is a solution of the following system.
x+y+z=6
3x-y-z=-2
2x-y+4z=37
1 solutions

Answer 407537 by MathLover1(6632)   on 2012-09-13 18:19:44 (Show Source):
You can put this solution on YOUR website!

to determine whether , plug in values for , and . I you get that left side of equation is equal to right side, than (1,-5,10) is a solution of the following system
..->..->..->..
..->..->..->..
->..
..->...->..->.....not true
so, the ordered triple (, , ) is NOT a solution of this system

here is a solution:

 Solved by pluggable solver: Using Cramer's Rule to Solve Systems with 3 variables First let . This is the matrix formed by the coefficients of the given system of equations. Take note that the right hand values of the system are , , and and they are highlighted here: These values are important as they will be used to replace the columns of the matrix A. Now let's calculate the the determinant of the matrix A to get . To save space, I'm not showing the calculations for the determinant. However, if you need help with calculating the determinant of the matrix A, check out this solver. Notation note: denotes the determinant of the matrix A. --------------------------------------------------------- Now replace the first column of A (that corresponds to the variable 'x') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'x' column so to speak). Now compute the determinant of to get . Again, as a space saver, I didn't include the calculations of the determinant. Check out this solver to see how to find this determinant. To find the first solution, simply divide the determinant of by the determinant of to get: So the first solution is --------------------------------------------------------- We'll follow the same basic idea to find the other two solutions. Let's reset by letting again (this is the coefficient matrix). Now replace the second column of A (that corresponds to the variable 'y') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'y' column in a way). Now compute the determinant of to get . To find the second solution, divide the determinant of by the determinant of to get: So the second solution is --------------------------------------------------------- Let's reset again by letting which is the coefficient matrix. Replace the third column of A (that corresponds to the variable 'z') with the values that form the right hand side of the system of equations. We will denote this new matrix Now compute the determinant of to get . To find the third solution, divide the determinant of by the determinant of to get: So the third solution is ==================================================================================== Final Answer: So the three solutions are , , and giving the ordered triple (1, -3, 8) Note: there is a lot of work that is hidden in finding the determinants. Take a look at this 3x3 Determinant Solver to see how to get each determinant.

as you can see, the three solutions are , , and giving the ordered triple (, , )

 Linear-equations/650947: Is 2x+3y=12 a linear equation?1 solutions Answer 407510 by MathLover1(6632)   on 2012-09-13 16:11:55 (Show Source): You can put this solution on YOUR website! compare your equation to the form of linear equation which is typically , or to form which is as you can see, your equation is in the form of linear equation; so, it a equation
 Linear-equations/650938: Can you please explain how to solve equations such as (9k+30)-(4k+10)=100 ? thanks1 solutions Answer 407495 by MathLover1(6632)   on 2012-09-13 15:43:26 (Show Source): You can put this solution on YOUR website! first remove the parentheses, recall: When parentheses are preceded by a plus sign + simply remove them. Nothing changes. When parentheses are preceded by a minus sign−change the sign of every term within the parentheses. ....round
 Number-Line/650917: Which set of numbers does not contain 1000? - Integers - Whole numbers - Irrational numbers - Real numbers 1 solutions Answer 407489 by MathLover1(6632)   on 2012-09-13 15:21:09 (Show Source): You can put this solution on YOUR website! your answer is: recall: An irrational number is a number that be written as a fraction; in other words, an irrational number is a "non-terminating, non-repeating" decimal.
Trigonometry-basics/650919: Determine whether the three points are collinear.
(5,-1), (-3,6), (4,-2)
1 solutions

Answer 407481 by MathLover1(6632)   on 2012-09-13 15:01:37 (Show Source):
You can put this solution on YOUR website!

Three or more points , , are said to be they on a .
let's check it:
 Solved by pluggable solver: To determine if 3 points lie in a line The 3 points lie on a same plane. For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. In order to prove the 3 points to lie on a line, as there exists a unique line containing three points and every line has a unique slope. Hence it will be sufficient to prove that the slope calculated taking 2 points at a time should be equal. Slope of line taking points (X1,Y1) and (X2,Y2) is ........................(1) Slope of line taking points (X3,Y3) and (X1,Y1) is ........................(2) From conditions (1) and (2) The 3 points do not a same line. For all points to lie on a line they should satisfy the equation of a line. Hence any two points taken on a line should calculate to the same slope of a line. Here the slopes are unequal hence the points do not lie on same line. To read more on equations of a line refer to articles on wikipedia

since your points do NOT on a , they are NOT

 Distributive-associative-commutative-properties/650880: can you help me simplfy these problems for homework due tommorow ? please . 8y-(3-6y) -7+(9x-8) -(-2r+7s)+2(r+s) 2x+3y-(x+5y) 2a+3b+2(a-2b) 5m+4n+3(2m-5n 4m+3n-2(m+3n) 7x-4y-5(2y-x)1 solutions Answer 407466 by MathLover1(6632)   on 2012-09-13 14:08:08 (Show Source): You can put this solution on YOUR website! ...be careful with sign minus in front of parenthesis; means, everything inside parenthesis you multiply by
 Problems-with-consecutive-odd-even-integers/650861: The sum of three consective odd integers is -3, what is the largest odd integer? The sum of three consective integers is 0. What is the smallest integer?1 solutions Answer 407456 by MathLover1(6632)   on 2012-09-13 13:45:32 (Show Source): You can put this solution on YOUR website!1. If we start with an odd number and each number in the sequence is more than the previous number then we will get consecutive odd integers. if first one is , second one will be , and third one will be the sum is: ...solve for ....first number second one will be ...->... ...->... third one will be ...->... ...->... so, the numbers are:,, and ; as you can see, the greatest one is 2. The sum of three integers is . What is the smallest integer? If we start with an integer, each next integer in the sequence is more than the previous one if first one is , second one will be , and third one will be the sum is: ...solve for second one will be ...->... ...->... third one will be ...->... ...->... so, the numbers are:,, and ; as you can see, the smallest integer is
 Linear-systems/650850: Here is the problem: 2/x + 3 = 3/2x + 25/81 solutions Answer 407446 by MathLover1(6632)   on 2012-09-13 13:12:49 (Show Source): You can put this solution on YOUR website! ....find common denominators ......cross multiply
 test/650805: Write the equation for the following relation.Q = {( x , y ): (2, 8), (3, 27), (4, 64), (5, 125), . . .} Help please!1 solutions Answer 407413 by MathLover1(6632)   on 2012-09-13 11:06:19 (Show Source): You can put this solution on YOUR website!= {( , ): (,), (, ), (, ), (, ), . . .} take a look at ordered pairs: (,) = (,) = (,) (,) = (,) = (,) (,) = (,) = (,) (,) = (,) = (,) (,) = (,) = (,) Therefore
Polynomials-and-rational-expressions/650796: Solve the inequality.
d-2/25 > d/10 - 1/2
1 solutions

Answer 407403 by MathLover1(6632)   on 2012-09-13 10:29:38 (Show Source):
You can put this solution on YOUR website!

 Solved by pluggable solver: Plot Any Inequality Graphing function :

 Expressions-with-variables/650798: 2 less than the product of 5 and n1 solutions Answer 407399 by MathLover1(6632)   on 2012-09-13 10:11:00 (Show Source):
 Rectangles/650774: the perimeter of a rectangle is 46 ft the width is 3ft less than twice the length finf the length and width of the rectangle 1 solutions Answer 407394 by MathLover1(6632)   on 2012-09-13 09:37:10 (Show Source): You can put this solution on YOUR website! the perimeter of a rectangle is the width is less than the length : ....->... ....substitute now find
 Linear_Algebra/650765: What are all intercepts to x^2+y=18^2?1 solutions Answer 407393 by MathLover1(6632)   on 2012-09-13 08:54:38 (Show Source): You can put this solution on YOUR website!intercepts to to find , set and solve for and to find , set and solve for ...there is only one
 Functions/650759: ((x^2(1+x^2)^(1/2))-(x^2(1+x^2)^(-1/2)))/(1+x^2) What is the domain of the question above? and also would you be kind enough to show me the steps?1 solutions Answer 407392 by MathLover1(6632)   on 2012-09-13 08:46:18 (Show Source): You can put this solution on YOUR website! To find the domain, I'll ignore the "" in the numerator (since the numerator cause division by ) and instead I'll look at the . I'll set the denominator equal to , and solve. The in the solution will be the which would cause division by . The domain will then be all other . and ...as you can see here, whatever is, the denominator will NOT be equal to so, the domain will be all real numbers from to ( ,)
 Triangles/650553: A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs?1 solutions Answer 407342 by MathLover1(6632)   on 2012-09-12 20:53:54 (Show Source): You can put this solution on YOUR website!An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees. ; consequently, it has the two legs of same length use Pythagorean theorem ...since , we have , and
 Average/650449: what numbers can you use to get a mean of 83 and a median of 85?1 solutions Answer 407326 by MathLover1(6632)   on 2012-09-12 20:08:18 (Show Source): You can put this solution on YOUR website!The Median is the "middle number" (in a sorted list of numbers). if , , and numbers,and , median is since given , we know that given: a mean of so, ...use ....since , let's take first greater number if , than so, your numbers are:,,and check: ,,and ..the "middle number" (in a sorted list of numbers)...so, it is mean
 Exponents/650482: What is 7 to the ninth power1 solutions Answer 407321 by MathLover1(6632)   on 2012-09-12 19:34:03 (Show Source):
 Equations/650479: Help me solve 6a-4=-21 solutions Answer 407319 by MathLover1(6632)   on 2012-09-12 19:29:57 (Show Source):
 Number-Line/650438: What is negitive three fourths plus negitive five fourths 1 solutions Answer 407318 by MathLover1(6632)   on 2012-09-12 19:28:20 (Show Source):
 Money_Word_Problems/650444: How do you get a percentage if you have the numbers 3375 to 6000 \$1 solutions Answer 407315 by MathLover1(6632)   on 2012-09-12 19:03:40 (Show Source): You can put this solution on YOUR website! ....a percentage so, is percent of
 Equations/650443: -64=8c 1 solutions Answer 407314 by MathLover1(6632)   on 2012-09-12 18:56:51 (Show Source):