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# Recent problems solved by 'MathLover1'

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 Equations/666100: -9x+1=-81 solutions Answer 414258 by MathLover1(6634)   on 2012-10-14 12:18:26 (Show Source):
 Angles/666029: THE COMPLEMENT AND SUPPLEMENT OF A 27 DEGREE ANGLE WHATS ANOTHER NAME FOR ANGLE ABC 1 solutions Answer 414249 by MathLover1(6634)   on 2012-10-14 11:44:43 (Show Source): You can put this solution on YOUR website! An angle and its add to a right angle. An angle and its supplement add to a straight angle. Since a right angle is degrees and a straight angle is degrees, the measures of the and are: The complement of an angle degrees is degrees. The supplement of an angle degrees is degrees. so, letting the complement be "", we can apply the definition of complementary angles and say that (degrees) and the supplement is (degrees)
 logarithm/666062: please help me prove that log base b of 1 =01 solutions Answer 414237 by MathLover1(6634)   on 2012-10-14 10:40:19 (Show Source): You can put this solution on YOUR website!by definition of log means that so, means that which is TRUE, by definition of exponents any number raised to the zero power equal to it proves that
 test/666060: What's the pattern? 5,-30,180,-1080,1 solutions Answer 414235 by MathLover1(6634)   on 2012-10-14 10:27:19 (Show Source): You can put this solution on YOUR website! , term in this sequence , second term in this sequence; as we can see, we will get this one if we multiply by , third term in this sequence, we can applay same rule and fourth term in this sequence so,the pattern is , and is first term in this sequence
 Equations/666057: Hello, I need help on the subject of fractions in equations. How do I solve 1/5 + 3/6=-1/2 Please answer me. 1 solutions Answer 414234 by MathLover1(6634)   on 2012-10-14 10:19:24 (Show Source): You can put this solution on YOUR website! ...common denominator for and is ; so, multiply by and by ...now you can add them ......now divide each nominator with each denominator to see if you will get same result on both sides of the equation ..as you can see left side is NOT equal to right side; so since , then we can say that
Linear-equations/665989: Find the equation of line point-sloope and slope-intercept form that meet the following conditions.
1. The line passes through the points (-3,-1) and (3,5)
2. The line passes through the point (3,7) and is parellel to the line x + 4y = 12.

1 solutions

Answer 414233 by MathLover1(6634)   on 2012-10-14 10:05:48 (Show Source):
You can put this solution on YOUR website!
1.The line passes through the points (-3,-1) and (3,5)

 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) = (-3, -1) and (x2, y2) = (3, 5). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(1)x + (2) Your graph:

2. The line passes through the point (3,7) and is parellel to the line .

....write in form

 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 (3,7), 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 Make into equivalent fractions with equal denominators Combine the fractions Reduce any fractions 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 (,)

 Radicals/665967: Write a 4th degree polynomial with roots 5, -5, 1+i, 1-i1 solutions Answer 414185 by MathLover1(6634)   on 2012-10-13 22:54:34 (Show Source):
 Equations/665964: please help me solve this equation 2/3t=91 solutions Answer 414183 by MathLover1(6634)   on 2012-10-13 22:08:44 (Show Source): You can put this solution on YOUR website! ...round it
 Exponential-and-logarithmic-functions/665932: log(x)-log(x-1)=log(3x+12)1 solutions Answer 414182 by MathLover1(6634)   on 2012-10-13 22:04:48 (Show Source): You can put this solution on YOUR website!..use Quotient Rule .....if log same, then .....solve for ....use quadratic formula and find positive root (it IS possible to calculate the log of a negative number but you have to work in complex numbers) check:
 Mixture_Word_Problems/665871: How many pounds of coffee (A) at \$3.00 a pound should be mixed with 2.5 pounds of coffee (B) at \$4.20 a pound to form a mixture selling at \$3.75 a pound? Please show steps. Thanks.1 solutions Answer 414171 by MathLover1(6634)   on 2012-10-13 20:03:47 (Show Source): You can put this solution on YOUR website! Given: = weight of coffe A at \$ = weight of coffee at \$ = weight of the Mixture at \$ .............eq. 1
 Square-cubic-other-roots/665936: What are the steps to simplify the following expression? square root -7 square root -168 Thank you!1 solutions Answer 414170 by MathLover1(6634)   on 2012-10-13 19:58:28 (Show Source):
 Graphs/665917: Find the slope if it exists of the points (-11,-15)and (-14,-18) I got the answer of -3/-3. I am not sure this is correct, would the slope be -3? Thanks so much!1 solutions Answer 414161 by MathLover1(6634)   on 2012-10-13 18:44:37 (Show Source): You can put this solution on YOUR website!points (-11,-15)and (-14,-18) ....here you are dividing two negative numbers and result is a positive number; and , so your slope is:
Linear-systems/665825: A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the accompanying figure, find the total distance covered on the tour. (Give your answer correct to the nearest mile.)
. miles
(Graph is not drawn to exact scale. Coordinates of cities are listed below the graph for reference.)

City A (0, 0), City B (450, 300), City C (-810, 760), City D (-810, 0)

1 solutions

Answer 414159 by MathLover1(6634)   on 2012-10-13 18:37:10 (Show Source):
You can put this solution on YOUR website!
City A (0, 0), City B (450, 300), City C (-810, 760), City D (-810, 0)
first find the distance between cities
City A (0, 0), City B (450, 300)
 Solved by pluggable solver: Distance between two points in two dimensions The distance (denoted by d) between two points in two dimensions is given by the following formula: Thus in our case, the required distance is For more on this concept, refer to Distance formula.

City B (450, 300), City C (-810, 760)

 Solved by pluggable solver: Distance between two points in two dimensions The distance (denoted by d) between two points in two dimensions is given by the following formula: Thus in our case, the required distance is For more on this concept, refer to Distance formula.

City C (-810, 760), City D (-810, 0)
 Solved by pluggable solver: Distance between two points in two dimensions The distance (denoted by d) between two points in two dimensions is given by the following formula: Thus in our case, the required distance is For more on this concept, refer to Distance formula.

City D (-810, 0),City A (0, 0)
 Solved by pluggable solver: Distance between two points in two dimensions The distance (denoted by d) between two points in two dimensions is given by the following formula: Thus in our case, the required distance is For more on this concept, refer to Distance formula.

the total distance covered on the tour will be equal to sum all distances above:

 Complex_Numbers/665817: Factor the given expression. 1 solutions Answer 414153 by MathLover1(6634)   on 2012-10-13 18:01:17 (Show Source): You can put this solution on YOUR website! .....replace with ...group
 Radicals/665894: Simplify 1. √6:(9) √10: (32x^5 y^5)1 solutions Answer 414151 by MathLover1(6634)   on 2012-10-13 17:52:33 (Show Source): You can put this solution on YOUR website! I guess you have two problems even you marked only nubmer 1. 1. 2. ...move from denominator in nominator ....put it under square root... ...simplify square root
 Age_Word_Problems/665815: six more than 4 times a whole number is less than 60. find the maximum value of the number.1 solutions Answer 414140 by MathLover1(6634)   on 2012-10-13 17:23:04 (Show Source): You can put this solution on YOUR website! six more than times a whole number is less than .......the maximum value of the number is
 logarithm/665780: log(75/16)+2log(5/4)+log(32/243)=log21 solutions Answer 414139 by MathLover1(6634)   on 2012-10-13 17:11:49 (Show Source): You can put this solution on YOUR website! as you can see so, is
The following data was obtained for two variables x and y.
x 2 4 -2 3 6
y 5 0 15 2.5 -5
Write an equation expressing the relationship of x and y.
1 solutions

Answer 414138 by MathLover1(6634)   on 2012-10-13 16:31:58 (Show Source):
You can put this solution on YOUR website!
x 2 4 -2 3 6
y 5 0 15 2.5 -5

take two points and find equation of the line passing through these 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, 5) and (x2, y2) = (4, 0). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-2.5)x + (10) Your graph:

now take other two 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, 15) and (x2, y2) = (3, 2.5). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-2.5)x + (10) Your graph:

..same equation
now check if all points lie on same line:

since all points lie on same line, equation is an equation that expressing the relationship of and from your table

 Complex_Numbers/665821: Factor the expression 1 solutions Answer 414106 by MathLover1(6634)   on 2012-10-13 14:38:25 (Show Source): You can put this solution on YOUR website!..replace with , and with ..group
 Linear-systems/665824: 5x+y=22 4x-4y=8 solve by substitution1 solutions Answer 414099 by MathLover1(6634)   on 2012-10-13 13:02:18 (Show Source): You can put this solution on YOUR website! .....1 ......2 ______________________ .....1..solve for ...plug it in 2 ......2.solve for now find
 Functions/665795: I need to express the function f(x)=x^2-4x+8 in the form f(x)=a(x-h)^2+k and indicate the vertex. I am clueless, please help! 1 solutions Answer 414081 by MathLover1(6634)   on 2012-10-13 11:24:15 (Show Source): You can put this solution on YOUR website!given: in the form the vertex:(,)
 Volume/665793: The volume of a cylindrical can in 32 pie cubic inches. If the height of the can is 2 inches, what is its radius, in inches ? 1) 8 2) 2 3) 16 4) 4 1 solutions Answer 414080 by MathLover1(6634)   on 2012-10-13 11:06:47 (Show Source): You can put this solution on YOUR website! The volume of a cylindrical can in If the height of the can is what is its radius
 Quadratic_Equations/665789: if b=o in quadratic equation then is it quadratic equation?1 solutions Answer 414074 by MathLover1(6634)   on 2012-10-13 10:51:28 (Show Source): You can put this solution on YOUR website!quadratic equation: if in quadratic equation then is it quadratic equation also and roots will be or
 Money_Word_Problems/665781: a department store's sales people are paid monthly base salary of \$1450 plus a commission of 7% sales. find the wages of a total amount of \$5250.1 solutions Answer 414070 by MathLover1(6634)   on 2012-10-13 10:43:06 (Show Source): You can put this solution on YOUR website! \$ \$ \$ \$ \$ \$.......the wages
 Polynomials-and-rational-expressions/665703: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer. 1 solutions Answer 414066 by MathLover1(6634)   on 2012-10-13 09:48:49 (Show Source): You can put this solution on YOUR website! ...your answer now recognize a particular factoring formula leads to the same answer .... we can write as and as ....here we have the difference of two squares and we use the application of the formula so,
 Equations/665769: What's x-2 divided 3 -x+1 divided 6 equals x - 1 divided 101 solutions Answer 414063 by MathLover1(6634)   on 2012-10-13 09:33:53 (Show Source): You can put this solution on YOUR website! .......cross multiply
 Travel_Word_Problems/665705: A car passes a landmark on a highway traveling at a constant rate of kilometers per hour. An hour later, a second car passes the same landmark traveling in the same direction at kilometers per hour. How much time after the second car passes the landmark will it overtake the first car? 1 solutions Answer 414061 by MathLover1(6634)   on 2012-10-13 09:27:08 (Show Source): You can put this solution on YOUR website!First car (car1) speed Second car (car 2) speed second car passes the lad mark 1 hour later: in one hour car 2 has passes They are traveling in same direction to catch up speed: to catch up distance: to catch up time
Linear-equations/665708: Find the linear function satisfying the given conditions. The x intercept and y intercept of the inverse function are 3 and -1.find f(x)
1 solutions

Answer 414056 by MathLover1(6634)   on 2012-10-13 09:05:45 (Show Source):
You can put this solution on YOUR website!
first find the equation of the inverse function using given points:
The : (,)
The :(,)

 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) = (3, 0) and (x2, y2) = (0, -1). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(0.333333333333333)x + (-1) Your graph:

now find the inverse function of the given inverse function which would be original function
to find the inverse, switch the places of and and simplify

-- that is your original function

 Equations/665663: 6z+5(4-z)= -(z-1)+111 solutions Answer 413988 by MathLover1(6634)   on 2012-10-12 20:51:04 (Show Source):
 Polynomials-and-rational-expressions/665647: find the polynomial function with the given zeros -5,2-i,2+11 solutions Answer 413986 by MathLover1(6634)   on 2012-10-12 20:47:39 (Show Source): You can put this solution on YOUR website! this is probably the given zeros ,,...you have three zeros, so your polynomial is third degree polynomial; so, we have
 Distributive-associative-commutative-properties/665645: Rewrite using the Associative Property.1 solutions Answer 413979 by MathLover1(6634)   on 2012-10-12 20:06:05 (Show Source): You can put this solution on YOUR website! Just remember that when the grouping of factors changes, the product remains the same.