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# Recent problems solved by 'MathLover1'

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 Percentage-and-ratio-word-problems/731171: In an art class, there are twice as many women as men. What fraction of the class are women? 1 solutions Answer 447016 by MathLover1(6622)   on 2013-03-27 14:09:54 (Show Source): You can put this solution on YOUR website! Let number of if there are twice as many women as men, number of Fraction that are
 Travel_Word_Problems/731160: hello i have a math question1 solutions Answer 447011 by MathLover1(6622)   on 2013-03-27 13:57:54 (Show Source): You can put this solution on YOUR website!post your question here and you will get an answer
 Matrices-and-determiminant/731134: How do I find the reduced row echelon? X + y+ z=3 2x - y + z=2 4x – 2y +3z=5 1 solutions Answer 447002 by MathLover1(6622)   on 2013-03-27 12:17:29 (Show Source): You can put this solution on YOUR website!your matrix is: Row operation 1: ....add times the 1st row to the 2nd row => Row operation 2: .........add times the 1st row to the 3rd row...=> Row operation 3: ..............multiply the 2nd row by ...=>... Row operation 4: ....add times the 2nd row to the 3rd row..=>... Row operation 5: ...........add times the 3rd row to the 2nd row...=>... Row operation 6: .....add times the 3rd row to the 1st row...>... Row operation 7: ....add times the 2nd row to the 1st row...=>...
 Money_Word_Problems/731116: t shirts cost 3 for 25 how much would i spend if i baught 7 tee shirts1 solutions Answer 447001 by MathLover1(6622)   on 2013-03-27 11:53:35 (Show Source): You can put this solution on YOUR website! if t shirts cost then t shirt cost and you would spend if you bought
 Finance/731111: Which of the following is true of the roots of the equations x^2-6x+8=0?/p> A. They are opposite in sign and equal. B. They are opposite in sign and the larger 1 solutions Answer 446996 by MathLover1(6622)   on 2013-03-27 11:24:47 (Show Source): You can put this solution on YOUR website! ...first factor completely (or use quadratic formula) to find roots .....write as ........group roots: if ...=>.. if ...=>.. so, your answer is: They are both positive.
test/730942: Let P(-3,6) and Q(10,1) be two points in the coordinate plane
Find an equation of the circle that contains P and Q and whose center is the midpoint of the segment PQ
1 solutions

Answer 446942 by MathLover1(6622)   on 2013-03-26 21:41:29 (Show Source):
You can put this solution on YOUR website!
The standard equation of a circle with center C(,) and radius is as follows:

so, we need to find ,, and
since the circle that contains P and Q , the distance between them is equal to diameter of the circle:
 Solved by pluggable solver: Distance Formula The first point is (x1,y1). The second point is (x2,y2) Since the first point is (-3, 6), we can say (x1, y1) = (-3, 6) So , Since the second point is (10, 1), we can also say (x2, y2) = (10, 1) So , Put this all together to get: , , , and -------------------------------------------------------------------------------------------- Now use the distance formula to find the distance between the two points (-3, 6) and (10, 1) Plug in , , , and ========================================================== Answer: The distance between the two points (-3, 6) and (10, 1) is exactly units The approximate distance between the two points is about 13.9283882771841 units So again, Exact Distance: units Approximate Distance: units

so, diameter ...=>......=>...
now find midpoint:
 Solved by pluggable solver: Midpoint The first point is (x1,y1). The second point is (x2,y2) Since the first point is (-3, 6), we can say (x1, y1) = (-3, 6) So , Since the second point is (10, 1), we can also say (x2, y2) = (10, 1) So , Put this all together to get: , , , and ---------------------------------------------------------------------------------------- Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2 X Coordinate of Midpoint = X Coordinate of Midpoint = X Coordinate of Midpoint = X Coordinate of Midpoint = So the x coordinate of the midpoint is 3.5 ---------------------------------------------------------------------------------------- Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2 Y Coordinate of Midpoint = Y Coordinate of Midpoint = Y Coordinate of Midpoint = Y Coordinate of Midpoint = So the y coordinate of the midpoint is 3.5 =============================================================================== Summary: The midpoint of the segment joining the two points (-3, 6) and (10, 1) is (3.5, 3.5). So the answer is (3.5, 3.5)

center is (, )=(,)...so and
...plug in ,, and

 Circles/730930: What is the centre and radius of the circle with the equation 2x^2+2y-12x+4y-15=01 solutions Answer 446939 by MathLover1(6622)   on 2013-03-26 21:17:31 (Show Source): You can put this solution on YOUR website!......here you missing to have a circle I guess should be , but it also might be let's do it with ....write it in the standard form The standard equation of a circle with center C(,) and radius is as follows: ..put all terms with and together and all terms with and together using brackets ......complete the square within each bracket ....both sides divide by so,the center and radius of the circle are: C(,)
 Exponential-and-logarithmic-functions/730922: What is the exponential function (y=ab^x) whose graph passes through the points of (-1, 48) and (2, 6).1 solutions Answer 446920 by MathLover1(6622)   on 2013-03-26 19:55:12 (Show Source): You can put this solution on YOUR website!given: whose graph passes through the points of (,) and (, ) Make a system of equations with the points by substituting them for and : .........1 .................2 .........1 .................2 take .........1 and solve for ..........substitute in .................2 solve for now find The exponential function is .
 Triangles/730645: The sides of a triangle measure 16, 30, and 34. Which type of triangle is it?1 solutions Answer 446775 by MathLover1(6622)   on 2013-03-26 09:07:01 (Show Source): You can put this solution on YOUR website!Types of Triangles: : The Isosceles triangle shown on the left has two equal sides and two equal angles. : The Equilateral triangle shown on the left has three equal sides and three equal angles. Each angle is ° : The Scalene Triangle has no congruent sides. In other words, each side must have a different length. : The Obtuse Triangle has an obtuse angle (an obtuse angle has more than °). : The Acute Triangle has three acute angles (an acute angle measures less than °) : A right triangle has one °. you are given: the sides of a triangle measure , , and as you can see, all sides are different in length; so, your triangle is NOT an Isosceles nor Equilateral triangle it could be Scalene (because has no congruent sides), could be Obtuse (might have an obtuse angle),could be Acute (might have an Acute angle), or could be Right Triangle (might have an right angle angle). let's check first is it Right Triangle because we can do it using Pythagorean theorem: let's sides and be legs, and hypotenuse then we have if this true, we have a Right Triangle ...so, this is true and your triangle IS but, it is also a scalene triangle with a right angle
 test/730637: 9m=7m+161 solutions Answer 446766 by MathLover1(6622)   on 2013-03-26 08:38:13 (Show Source):
 logarithm/730525: x=log(100)^101 solutions Answer 446712 by MathLover1(6622)   on 2013-03-25 21:06:31 (Show Source):
 logarithm/730495: how to solve log[5](90)using change of base formula1 solutions Answer 446692 by MathLover1(6622)   on 2013-03-25 19:55:49 (Show Source): You can put this solution on YOUR website!....in base = = = = =
 test/730477: How do you work a problem like- x-2(x-6)=2-(4x+5)1 solutions Answer 446685 by MathLover1(6622)   on 2013-03-25 19:24:53 (Show Source): You can put this solution on YOUR website!......first multiply ....eliminate parentheses, both have negative sign in front of them, so you will change signs inside of them
 Travel_Word_Problems/730470: How is 3 and a half hours at 45 mph equal to 157.5 miles?1 solutions Answer 446684 by MathLover1(6622)   on 2013-03-25 19:14:08 (Show Source): You can put this solution on YOUR website! and a half hours is at equal to distance as you know the distance is plug in given values
 Complex_Numbers/730436: IF 1000 YEARS EQUAL A 24 HOUR DAY HOW MUCH WOULD 1 SECOND EQUAL PLESE HELP ME 1 solutions Answer 446683 by MathLover1(6622)   on 2013-03-25 19:04:01 (Show Source): You can put this solution on YOUR website! so, in you will have But if you want to find out an exact number you must do some research, I might be wrong here, but a year with 1 extra day occurs once every 4th year, so: 1000/4 = 250 this is 250 years with 1 extra day, which changes the math into making us take into account that 250 years of those 1000 has 366 days instead of 365 Or, you can forget leap years and use a more sane representation of years such Julian years ( days, exactly) or tropical years ( days at the epoch J2000.0) so in years will be days
 Travel_Word_Problems/730395: how long does it take to drive 750 miles at 55 miles/hour1 solutions Answer 446668 by MathLover1(6622)   on 2013-03-25 16:46:12 (Show Source): You can put this solution on YOUR website!recall the distance formula where , and solve for so,to drive at will take
 Trigonometry-basics/730327: Write the equation of the circle whose center is (-2,-1) and radius is 2(sqrt[3])1 solutions Answer 446645 by MathLover1(6622)   on 2013-03-25 14:18:51 (Show Source): You can put this solution on YOUR website!Equation of a circle whose center is at (,) is: ....This referrers to the "center-radius form". It may also be referred to as "standard form". given: center is at (,) = (,) and plug given values in formula
 Rational-functions/730160: How do you factor 12+8 1 solutions Answer 446514 by MathLover1(6622)   on 2013-03-24 23:22:57 (Show Source): You can put this solution on YOUR website! factor ....both and are divisible by , so factor out
 Circles/730156: how is the steps done for these? Find the centre and the radius of 1.)25x^2+25y^2=25 1 solutions Answer 446513 by MathLover1(6622)   on 2013-03-24 23:20:25 (Show Source): You can put this solution on YOUR website!The form of the circle equation is in the format , with the center being at the point (, ) and the radius being "". ....both sides divide by ....compare to and you see that (, )=(, ) and
test/730136: Graph the linear equation f(x)=6x
1 solutions

Answer 446511 by MathLover1(6622)   on 2013-03-24 23:11:56 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: Graphing Linear Equations In order to graph we only need to plug in two points to draw the line So lets plug in some points Plug in x=-1 Multiply Add So here's one point (-1,-6) Now lets find another point Plug in x=0 Multiply Add So here's another point (0,0). Add this to our graph Now draw a line through these points So this is the graph of through the points (-1,-6) and (0,0) So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 6 units and to the right 1 units to get to the next point) the y-intercept is (0,)and the x-intercept is (,0) We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,). So we have one point (0,) Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go up 6 units and to the right 1 units to get to our next point Now draw a line through those points to graph So this is the graph of through the points (0,0) and (1,6)

 Linear-equations/730137: Someone PLEASE HELP me solve this inequality problem ! ~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval notation. Thank You !1 solutions Answer 446502 by MathLover1(6622)   on 2013-03-24 22:17:03 (Show Source): You can put this solution on YOUR website! The domain is all real numbers equal to or smaller than , (, ] The range is all real numbers equal to or smaller than , (, ]
 expressions/730139: 3³ + 4(-1 - 2) - 25 I am having trouble finding the answer. I came up with 3.1 solutions Answer 446499 by MathLover1(6622)   on 2013-03-24 22:07:55 (Show Source):
 Polynomials-and-rational-expressions/730108: help me to completely factor 5x^3+30x^2+5x+301 solutions Answer 446497 by MathLover1(6622)   on 2013-03-24 22:04:19 (Show Source): You can put this solution on YOUR website! ....group
 Square-cubic-other-roots/730073: I need an equation that will do the following : Rationalize a denominator using a cube root and the problem must have a variable before you simplify it. ANSWER must equal 21 solutions Answer 446471 by MathLover1(6622)   on 2013-03-24 21:05:13 (Show Source):
A line passes through the points (2,9) and (9,2) ~
a. Write the equation of the line.
b. Write the equation of the parallel line going through the origin.
c. Write the equation of the perpendicular line through (2,9).
1 solutions

Answer 446427 by MathLover1(6622)   on 2013-03-24 19:17:09 (Show Source):
You can put this solution on YOUR website!

a.
the equation of the line passes through the points (,) and (,)

 Solved by pluggable solver: FIND EQUATION of straight line given 2 points hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 9) and (x2, y2) = (9, 2). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-1)x + (11) Your graph:

b.

the equation of the parallel to line going through the origin (,)

 Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (0,0), we can find the equation by plugging in this info into the point-slope formula Point-Slope Formula: where m is the slope and (,) is the given point Plug in , , and Distribute Multiply Add to both sides to isolate y Combine like terms So the equation of the line that is parallel to and goes through (,) is So here are the graphs of the equations and graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)

c.
the equation of the perpendicular to line through (,)
 Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of , you can find the perpendicular slope by this formula: where is the perpendicular slope So plug in the given slope to find the perpendicular slope When you divide fractions, you multiply the first fraction (which is really ) by the reciprocal of the second Multiply the fractions. So the perpendicular slope is So now we know the slope of the unknown line is (its the negative reciprocal of from the line ). Also since the unknown line goes through (2,9), we can find the equation by plugging in this info into the point-slope formula Point-Slope Formula: where m is the slope and (,) is the given point Plug in , , and Distribute Multiply Add to both sides to isolate y Combine like terms So the equation of the line that is perpendicular to and goes through (,) is So here are the graphs of the equations and graph of the given equation (red) and graph of the line (green) that is perpendicular to the given graph and goes through (,)

...given line
...parallel line
...perpendicular

let's graph them all together:

 Quadratic_Equations/730045: how do you change 3(x+1.33333333333333)(x+7) to a fractional coefficient1 solutions Answer 446425 by MathLover1(6622)   on 2013-03-24 19:05:20 (Show Source): You can put this solution on YOUR website! ..... as a fraction is
 Complex_Numbers/730030: simplify. Write the result in the form a+bi (2+ 3i)(5-3i)(-7+ i)1 solutions Answer 446411 by MathLover1(6622)   on 2013-03-24 18:38:54 (Show Source):
 Polynomials-and-rational-expressions/730026: Simplify the rational expression 9x^2-15x+25 ___________ 27x^3+1251 solutions Answer 446402 by MathLover1(6622)   on 2013-03-24 18:31:12 (Show Source): You can put this solution on YOUR website! .......
 Triangles/730033: What type of triangle has the side lengths of 2,3,4 ? What type of triangle has the side lengths of 2,3,5 ? What type of triangle has the side lengths of 6,8,9 ? What type of triangle has the side lengths of 6,8,10 ?1 solutions Answer 446397 by MathLover1(6622)   on 2013-03-24 18:20:22 (Show Source): You can put this solution on YOUR website! By the number of sides they have: • - all sides have lengths • - sides have lengths • - sides are type of triangle has the side lengths of ,, is triangle type of triangle has the side lengths of ,,is triangle type of triangle has the side lengths of ,, is triangle What type of triangle has the side lengths of ,, is triangle
 logarithm/729881: Let x = log6 2. Express log6 18 in terms of x.1 solutions Answer 446384 by MathLover1(6622)   on 2013-03-24 17:47:58 (Show Source): You can put this solution on YOUR website!Let . Express in terms of .