# See tutors' answers!

Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'MathLover1'

MathLover1 answered: 6632 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659, >>Next

 expressions/702352: 8q+12=4(3+2q)1 solutions Answer 432912 by MathLover1(6634)   on 2013-01-15 11:54:42 (Show Source): You can put this solution on YOUR website! ....true for all real numbers
 Radicals/702349: How do I find 9 times the square root of 3?1 solutions Answer 432911 by MathLover1(6634)   on 2013-01-15 11:48:31 (Show Source):
 Problems-with-consecutive-odd-even-integers/702317: if 3^x =54, then which of the following must be true? The answer is 31 solutions Answer 432906 by MathLover1(6634)   on 2013-01-15 10:42:02 (Show Source): You can put this solution on YOUR website! ......use log to solve for .......so, the answer ....true
 test/702332: 23/20 into percent1 solutions Answer 432905 by MathLover1(6634)   on 2013-01-15 10:20:03 (Show Source): You can put this solution on YOUR website! ....Because the numerator (top part) is larger than the denominator, you know it will be more than 100%. let percent be %; Since percentages are really just fractions with the denominator of , we can say so, we can write .......turn the denominator from a to a .....since denominators same, nominators must be same too; so, %
 Average/702314: 2(-w - 8) + 9 > -171 solutions Answer 432903 by MathLover1(6634)   on 2013-01-15 09:31:41 (Show Source): You can put this solution on YOUR website! or (,)
 Exponents/702172: Express as a fraction using positive exponents only: x^-2 + y^3 ------------- xy^-31 solutions Answer 432837 by MathLover1(6634)   on 2013-01-14 21:39:36 (Show Source):
 test/702183: W=3y+3z, solve for y 1 solutions Answer 432833 by MathLover1(6634)   on 2013-01-14 21:29:53 (Show Source):
Expressions-with-variables/702174: x=2y-3 x=2y+4 solve for each system of equation

1 solutions

Answer 432832 by MathLover1(6634)   on 2013-01-14 21:28:31 (Show Source):
You can put this solution on YOUR website!

_____________

_______________

 Solved by pluggable solver: Solve the System of Equations by Graphing Start with the given system of equations: In order to graph these equations, we need to solve for y for each equation. So let's solve for y on the first equation Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce Now lets graph (note: if you need help with graphing, check out this solver) Graph of So let's solve for y on the second equation Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce Now lets add the graph of to our first plot to get: Graph of (red) and (green) From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

 Equations/702180: W=3y+3z, for y solve for y1 solutions Answer 432830 by MathLover1(6634)   on 2013-01-14 21:23:50 (Show Source):
Graphs/702182: graph x > y linear inequality
1 solutions

Answer 432829 by MathLover1(6634)   on 2013-01-14 21:22:04 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: Plot Any Inequality Graphing function :

Linear-systems/702162: Can you please help me solve this linear equation using substitution
-3x+6y = 9
5x-2y = -7
Thank you.
1 solutions

Answer 432824 by MathLover1(6634)   on 2013-01-14 20:54:40 (Show Source):
You can put this solution on YOUR website!

 Geometry_Word_Problems/702114: I need some explaining on how to do this step by step please: Find the value of each missing measure of a triangle; b= 2ft; h= []; A= 28ft^2 b= []; h=22.6 yd; A= 282.5 yd^21 solutions Answer 432810 by MathLover1(6634)   on 2013-01-14 20:13:45 (Show Source): You can put this solution on YOUR website!area of a triangle is: if given: and } ....plug in given values if given: and ....plug in given values
 Triangles/702088: I'm trying to help my son with his math. Pre-algebra is not my friend! :) Here is the problem. Use a protractor and a straightedge to draw a triangle that has a right angle and a 30 degree angle. Then measure the shortest and longest sides of the triangle to the nearest millimeter. What is the relationship of the two measurements. What I don't get is the relationship part. What does that mean?1 solutions Answer 432796 by MathLover1(6634)   on 2013-01-14 19:52:35 (Show Source): You can put this solution on YOUR website!Use a protractor and a straightedge to draw a triangle that has a right angle and a 30 degree angle. Then measure the shortest and longest sides of the triangle to the nearest millimeter. What is the relationship of the two measurements. 1. first draw a line segment and mark one point with C where you will have the vertex of 90° angle, you can use your protractor to draw this line, as the protractor includes a straight edge 2. align the the guide markings on the protractor so that the line is at the 0-degree mark. 3. make a mark by the 90° point on the protractor using a pen or pencil 4. move the protractor so that the straight edge connects the vertex point and the mark you made at 90 degrees, use a straight edge of the protractor and connect the two points 5. ones you got 90° , use one leg of the angle set a point B (the vertex point of 30° angle)to any convenient width, align the the guide markings on the protractor so that the line is at the 0-degree mark at B 6. make a mark by the 30° point on the protractor 7. use a straight edge of the protractor, aline point B and mark of the 30° point and draw a line from B through mark of the 30° point and continue until line intersect leg of the angle of 90° and you will get your right angle triangle since one angle is 90° and another one is 30° , means that third angle is 60° so, you will have 30° - 60° - 90° right triangle which and the ratio of this triangle's longest side to its shortest side is "two to one" which means, the longest side is twice as long as the shortest side
 Functions/701908: 6(x+9)= 7(6x-8)= x(x+2)=1 solutions Answer 432650 by MathLover1(6634)   on 2013-01-14 13:47:46 (Show Source):
Linear-equations/701786: Find the slope, if it exists of the line containingt the pair of points
(3,0) and (0,-5)
1 solutions

Answer 432587 by MathLover1(6634)   on 2013-01-13 23:32:29 (Show Source):
You can put this solution on YOUR website!
first find equation of the line containing the pair of 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) = (3, 0) and (x2, y2) = (0, -5). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(1.66666666666667)x + (-5) Your graph:

so, the slope is

or, find the slope this way:
 Solved by pluggable solver: Finding the slope Slope of the line through the points (3, 0) and (0, -5) Answer: Slope is

 decimal-numbers/701770: I need help with my math homework on decimals : Decimal patterns with powers of 10.Divide 4 divided by 0.51 solutions Answer 432577 by MathLover1(6634)   on 2013-01-13 22:36:20 (Show Source):
 real-numbers/701738: I really need some help on a problem. It is a word problem and I really can NOT do them! It says.... The volume of a box is 1755 cubic feet. The width of the box is 9 feet, and it's height is 2 feet more than it's length. Find the height of the box. Thank you for your help! Melissa1 solutions Answer 432569 by MathLover1(6634)   on 2013-01-13 21:38:55 (Show Source): You can put this solution on YOUR website! The volume of a box is where , and given: the volume of a box is the width of the box is , and it's height is more than it's length ; so, to find: the height of the box start with ...plug in given values .......use quadratic formula ..we will find only positive solution because the length could be only positive number now we can find the height
 Inequalities/701736: i need to solve this problem i posible and i tried to solve it and i came out with 0 and i dont know if that is right.. 5d-8d-4less than or equal to -4+3d1 solutions Answer 432559 by MathLover1(6634)   on 2013-01-13 21:13:59 (Show Source): You can put this solution on YOUR website! ...........add to both sides ..........add to both sides so, is element of the set { ,,,.....} or interval notation: [,)
 Triangles/701683: I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg and hypotenuse?1 solutions Answer 432544 by MathLover1(6634)   on 2013-01-13 20:26:28 (Show Source): You can put this solution on YOUR website! A triangle is a right triangle whose internal angles are , and . The three sides of a triangle have the following characteristics: All three sides have lengths. The shorter leg,, is half the length of the hypotenuse, . That is, The longer leg's length, , is the shorter leg times . That is, so, you are given then, you have the shorter leg ...=>......=>... and the longer leg's length is ..=>......=>... check result using Pythagorean theorem: ...round decimal to whole number
 Rational-functions/701627: I need to know a handful of points to plot this function on a graph (just enough to sort of show the shape of the line). I really need help here, I have no idea what to do. http://s1272.beta.photobucket.com/user/sledd144618/media/Algebra634_zpsf6d7f871.png.html1 solutions Answer 432509 by MathLover1(6634)   on 2013-01-13 18:25:19 (Show Source): You can put this solution on YOUR website!you are given: if if if this is a line parallel to and has at (,) since you are given that you can find one more point choosing less than and draw that line all way from certain value of - to than stop; that will be at point (, take second line and choose two values for so that since this line is connected to the first line, use the point (, and find one more point using the second point is (,) plot these points and connect them with a line segment third part is or if here you start with a point (,) last one you got and find one more point using any let the point is (,) plot this point and draw a line from a point (,) and passes through (,) from this graph where you see all three lines you need to take parts: from a line (red) draw part all way from the left to the point (,), then got to second line (green) and draw a line segment which connects points (,) and (,), then go to third line (blue) and draw from the point (,) all way down to the right that will be your solution, the piecewise function
 Polynomials-and-rational-expressions/701511: Write a polynomial equation of least degree with roots of 4, i, -i What happens to the imaginary "I" ?1 solutions Answer 432451 by MathLover1(6634)   on 2013-01-13 13:19:26 (Show Source): You can put this solution on YOUR website!you are given three roots, means a polynomial equation of least degree will be a polynomial of degree where , , and .....multiply ...recall
 Complex_Numbers/701492: 3\4+i1 solutions Answer 432448 by MathLover1(6634)   on 2013-01-13 11:55:43 (Show Source): You can put this solution on YOUR website! if you have this than you have complex number and only what you can do is write real part as decimal number but, if you have this than you multiply both nominator and denominator by to eliminate from denominator
 test/701454: X+1/x2+6x+9 - 1/x-31 solutions Answer 432422 by MathLover1(6634)   on 2013-01-13 10:17:36 (Show Source): You can put this solution on YOUR website! = = = = = = =
 logarithm/701450: Expand log Log base 4 of x^3yz^21 solutions Answer 432420 by MathLover1(6634)   on 2013-01-13 10:02:08 (Show Source): You can put this solution on YOUR website! ...in base will be
 test/701443: How do you find the number of possible x-intercepts and the number of changes in direction?1 solutions Answer 432419 by MathLover1(6634)   on 2013-01-13 09:54:54 (Show Source): You can put this solution on YOUR website!The of a polynomial are where the polynomial intersects the on the real coordinate plane. Mathematically speaking, these only occur when is equal to . Polynomials can have because of the way they curve. The number of a certain polynomial can have is the of the polynomial. A polynomial can only have . A degree can have to , but it doesn't have to have four. For even degree polynomials, it is possible that there are no . degree polynomials must have . The are key to graphing a polynomial. They are points that you can connect that lie on the . These are also known as to the . So, how do we find these ? Simply, these points are where . So, you simply solve the polynomial for when or is . Usually, cross the straight through. However, there is more than one way that the polynomial can intercept the . There are actually that the graph intercepts the . In the , it passes straight through no problem. In the , it goes down and touches the and then rebounds off it. In the , the graph sort of lingers around the interception point before crossing. Why are there three types of intercepts? This is governed by a mathematical thing called . Multiplicity is the number of times a particular or solution appears. What if you ended up with the same twice? That means that that particular has a multiplicity of. It twice, and it therefore has a multiplicity of . An that times has a of . Let us look at the following example: We could commence the normal procedure for finding by setting the equal to and solving. However, we end up with twice, which means we get the intercept, (,), twice. The , (,) has a multiplicity of . here are three cases how graph might cross 1. Normally, an has a multiplicity of , or it . When this happens, the graph simply passes straight through the . It occurs once, so it passes through and continues along with the normal path that it takes. 2. If the intercept has an multiplicity, meaning it occurs , times, times, etc., then the graph appears to touch the x-axis and then bounces off in the same direction it came from. The graph never passes through the x-axis, it simply touches it and goes back. As multiplicity increases, the valley will become flatter and flatter. 3.If the has an multiplicity, meaning it , times, etc., then the graph kind of lingers around the interception point before passing through. The graph does actually pass through, but it is sort of delayed before actually passing through, like in the image. As multiplicity increases, the deflection becomes closer and closer to the . The graph of a polynomials of degree , for some constant is a line or is a line . It has no turning points and its tails are flat. The graph of a polynomial of degree , ,with or is a slant line with , points, and tails in opposite direction. The graph of a polynomial of degree . with (leading coefficient) is a parabola that opens if and if . The graph has turning point. It can have , , or , those that are obtained by shifts, stretching or shrinking and reflections in the negative (or negative) axis from . The function that is not shifted, like , have graphs with tails in opposite directions, one and no turning points. They are if and if . -relative or minimum are values where the curve
 Numeric_Fractions/701365: what is 2 5/8 times 4/7 times 121 solutions Answer 432390 by MathLover1(6634)   on 2013-01-12 23:07:58 (Show Source):
 Sequences-and-series/701339: find three geometric means between 8 and 40.51 solutions Answer 432373 by MathLover1(6634)   on 2013-01-12 20:30:34 (Show Source): You can put this solution on YOUR website! three geometric means between and : is the ratio, so you multiply by (which equals ), giving you the of the three geometric means, multiply by (which equals ) to get the of the three geometric means, and multiply by (which equals ) to get the of the three geometric means Final answer: ,, Multiplying by gives you , so it is correct.
 Sequences-and-series/701340: find two geometric means between 7 and 15.3791 solutions Answer 432371 by MathLover1(6634)   on 2013-01-12 20:13:58 (Show Source): You can put this solution on YOUR website! two geometric means between and : is the ratio, so you multiply by (which equals ), giving you the of the two geometric means, and multiply by (which equals ) to get the of the two geometric means Final answer: , Multiplying by gives you , so it is correct.
Linear-equations/701328: Show that the triangle with vertices (-5,2), (-2,5), and (5,-2) is a right angle. THANKS
1 solutions

Answer 432367 by MathLover1(6634)   on 2013-01-12 19:26:05 (Show Source):
You can put this solution on YOUR website!
first find the equation of the line passing through (,) 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) = (-5, 2) and (x2, y2) = (-2, 5). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(1)x + (7) Your graph:

than find the equation of the line passing through (,) 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) = (-5, 2) and (x2, y2) = (5, -2). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-0.4)x + (0) Your graph:

than find the equation of the line passing through (,) 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) = (5, -2). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-1)x + (3) Your graph:

now graph all three lines together:
.........a slope is
.........a slope is

.........a slope is which is negative reciprocal of ; ...so, the line and are perpendicular to each other
if two of lines perpendicular to each other, and three intersecting line form a triangle, triangle is a right angle triangle

 Rational-functions/701287: how do i solve for x: x/(x-5)-2/(x+5)=50/(x^2-25) 1 solutions Answer 432359 by MathLover1(6634)   on 2013-01-12 17:29:37 (Show Source): You can put this solution on YOUR website!....common denominator for and ....since , we will have .....cross multiply solutions: if ....=>... if ....=>... if , ...we need to use quadratic formula to find zeros solutions: and so, your solutions are:
 Polynomials-and-rational-expressions/701292: Factor the trinomial. 4x^2-56x-92 I'm having problems figuring out this problem. The only numbers I can find that go into 92 are 4 and 23 but when I plug that in: 4x(-23)+4x= -92x+4x=-88x. So it's not equaling -56x. I'm not sure what I'm doing wrong? Any help would be greatly appreciated! Thank you. 1 solutions Answer 432352 by MathLover1(6634)   on 2013-01-12 16:46:14 (Show Source): You can put this solution on YOUR website! ..... write as ....group first three terms together ....factor out ....note that