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# Recent problems solved by 'Nate'

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, >>Next

 Trigonometry-basics/43785: in triangle ABC, a = 5, b = 9, and c = 6. Find angle A, angle B, and angle C. Thanks1 solutions Answer 28738 by Nate(3500)   on 2006-06-26 11:24:19 (Show Source): You can put this solution on YOUR website!in triangle ABC, a = 5, b = 9, and c = 6 Use Law of Cosines: Use Law of Sines: Use Law of Sum of Interior Angles: : 180(3 - 2) : 180 180 - (32 + 73) = C 180 - 105 = C 75 = C
 Linear-systems/43787: Solve the following equation. z,z-6,3x1 solutions Answer 28737 by Nate(3500)   on 2006-06-26 11:15:54 (Show Source): You can put this solution on YOUR website!That is not an equation; that is a set of values.
 Equations/43786: where did algebra get its name 1 solutions Answer 28736 by Nate(3500)   on 2006-06-26 11:15:06 (Show Source): You can put this solution on YOUR website!http://vmoc.museophile.org/algebra/section3_1.html From al-jabr in the arabic language.
 Numeric_Fractions/43765: Can someone help me on this? I need to find the reciptrocal of (-1/5)(15) Thanks, Ashley1 solutions Answer 28733 by Nate(3500)   on 2006-06-26 11:10:37 (Show Source): You can put this solution on YOUR website!(-1/5)(15) -3 Reciptrocal: (-1/3)
 Numeric_Fractions/43766: I hope someone can help me solve this problem: I need to perform the indicated operation: 11-6/7-7 Thanks, Ashley1 solutions Answer 28732 by Nate(3500)   on 2006-06-26 11:08:19 (Show Source): You can put this solution on YOUR website!11 - 6/7 - 7 77/7 - 6/7 - 49/7 (77 - 6 - 49)/7 22/7 or 3 1/7
 Trigonometry-basics/43782: Write -200o in radians Thanks1 solutions Answer 28730 by Nate(3500)   on 2006-06-26 11:05:34 (Show Source): You can put this solution on YOUR website!(-200)(/180) (-10/9)
 Quadratic-relations-and-conic-sections/43767: Find the coordinates of the foci of the hyperbola: x^2/16 - y^2/4 = 11 solutions Answer 28729 by Nate(3500)   on 2006-06-26 11:04:04 (Show Source): You can put this solution on YOUR website!x^2/16 - y^2/4 = 1 Transverse Axis: horizontal Center: (0,0) a = 4 b = 2 c^2 = a^2 + b^2 c = sqrt(16 + 4) c = sqrt(20) = 2*sqrt(5) Vertices: (-4,0) and (4,0) Foci: (-2*sqrt(5),0) and (2*sqrt(5),0)
 Complex_Numbers/43769: If f(x) = x^2 + 2 and g(x) = 2x - 3, find f(g(1))1 solutions Answer 28728 by Nate(3500)   on 2006-06-26 10:58:42 (Show Source): You can put this solution on YOUR website!f(g(1)) g(x) = 2x - 3 g(x) = 2 - 3 g(x) = -1 f(x) = x^2 + 2 f(x) = (-1)^2 + 2 f(x) = 1 + 2 f(x) = 3 [f o g](1) = 3
 Exponential-and-logarithmic-functions/43770: Evaluate: 4^x-2 = 1/81 solutions Answer 28727 by Nate(3500)   on 2006-06-26 10:55:01 (Show Source): You can put this solution on YOUR website! so .... 2x - 4 = -3 2x = 1 x = 1/2
 Exponential-and-logarithmic-functions/43771: Evaluate: logx 16 = -21 solutions Answer 28726 by Nate(3500)   on 2006-06-26 10:53:06 (Show Source): You can put this solution on YOUR website! +- You can not have a negative number for the base, so the answer is only positive one-fourth.
 Circles/43778: State the circle and radius of the circle given by (x-2)^2+(y+3)^2=201 solutions Answer 28725 by Nate(3500)   on 2006-06-26 10:50:17 (Show Source): You can put this solution on YOUR website!Use standard form: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center, and 'r' is the radius. C(2,-3) radius: 2*sqrt(5)
 Numeric_Fractions/43780: Can someone help me solve this problem? I need to evaluate the following problem and remember to use the order of operations: 4- (-3) + 1/2 - 2 divided by (-2) Thanks, Ashley1 solutions Answer 28723 by Nate(3500)   on 2006-06-26 10:48:31 (Show Source): You can put this solution on YOUR website!4 - (-3) + 1/2 - 2/(-2) 4 - (-3) + 0.5 - 2/(-2) 4 - (-3) + 0.5 + 1 7 + 0.5 + 1 7.5 + 1 8.5
 Equations/43728: 13. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number. A) 34 B) 17 C) 5 D) 7 1 solutions Answer 28703 by Nate(3500)   on 2006-06-26 00:48:56 (Show Source): You can put this solution on YOUR website!Smaller Number: s Larger Number: s + 12 Equation: s + 2s + 24 = 39 3s = 15 s = 5 Larger Number: 17
 Equations/43729: 14. The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width of the rectangle. A) 8 in. B) 9 in. C) 10 in. D) 7 in. 1 solutions Answer 28702 by Nate(3500)   on 2006-06-26 00:46:26 (Show Source): You can put this solution on YOUR website!Width = w Length = 2w + 8
 test/43699: This question is from textbook 0-07-301602-0 Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.1 solutions Answer 28696 by Nate(3500)   on 2006-06-25 21:46:16 (Show Source): You can put this solution on YOUR website!First Integer: x Second Integer: x + 1 Equation: Consecutive Integers: 7 and 8
 Polynomials-and-rational-expressions/43702: Solve the equation using factoring techniques. 10x^2-19x+6=0.1 solutions Answer 28695 by Nate(3500)   on 2006-06-25 21:43:23 (Show Source): You can put this solution on YOUR website!10x^2 - 19x + 6 = 0 factors of 60 that sum to make -19 .... factors: -4 and -15 10x^2 - 4x - 15x + 6 = 0 (10x^2 - 4x) + (-15x + 6) = 0 2x(5x - 2) + -3(5x - 2) = 0 (2x - 3)(5x - 2) = 0 2x - 3 = 0 and 5x - 2 = 0 2x = 3 and 5x = 2 x = 1.5 and x = 0.4
 Polynomials-and-rational-expressions/43700: This question is from textbook Algebra for College Students I must facgtor completely the polynomial. Indicate any that are not factorab le using integers. That would be x cubed - 64x. The 64x is throwing me off....Please help. x^3-64x 1 solutions Answer 28694 by Nate(3500)   on 2006-06-25 21:37:56 (Show Source):
Quadratic_Equations/43678: find x intercepts y=x^2-2x+4 could you show all steps i am having a hard time with this
1 solutions

Answer 28693 by Nate(3500)   on 2006-06-25 21:35:26 (Show Source):
You can put this solution on YOUR website!

There are no x-intercepts.

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -12 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -12 is + or - . The solution is Here's your graph:

 Rectangles/43698: This question is from textbook 0-07-301602-0 Find the length of each side of the rectangle so tht it has the giver perimeter. 2x-5 and x for p=50 in.1 solutions Answer 28692 by Nate(3500)   on 2006-06-25 21:30:23 (Show Source): You can put this solution on YOUR website! Rectangle Sides: 2x - 5 20 - 5 15 in and 10 in
 Quadratic-relations-and-conic-sections/43680: This question is from textbook College Algebra Please help me solve this problem that I'm having difficulty solving. Thank you so much for your immediate assistance. smccollough1 4x^2+4y^2+4y=15 Please include the following: a) equation b) opens up and down, right or left c) vertex d) axis of symmetry e) x-intercept (if they exist) f) y-intercept (if they exist) g) table of values h) graph 1 solutions Answer 28691 by Nate(3500)   on 2006-06-25 21:26:34 (Show Source): You can put this solution on YOUR website! a) This is a circle. b) Does not open. c) V(0,-0.5) d) Axis of Symmetry: and e) X-Intercept f) Y-Intercept You can fill in the table of values. h) graph
 Graphs/43681: How do you find the axis of symmetry of this equation? y=-3x2-6x+4 (the two is an exponent)1 solutions Answer 28690 by Nate(3500)   on 2006-06-25 21:09:23 (Show Source): You can put this solution on YOUR website!Just did this. Axis of Symmetry:
 Polynomials-and-rational-expressions/43683: How do you find the axis of symmetry of the equation.... y=-3x^2-6x+4 ? 1 solutions Answer 28689 by Nate(3500)   on 2006-06-25 21:08:37 (Show Source): You can put this solution on YOUR website! Since this is a vertical parabola, you would use the value of the vertex. V((-b/2a),f(x)) = V((-1),f(x)) Axis of Symmetry:
 Geometry_proofs/43688: 3 vertices of a parallelogram are given, find the fourth1 solutions Answer 28688 by Nate(3500)   on 2006-06-25 21:06:31 (Show Source): You can put this solution on YOUR website!What are the three vertices?
 logarithm/43696: Suppose and g(x) =Ln (3-x) Evaluate the following to 3 decimal places. A. f(2.7) I have -1.204 B. g(-5) I have 2.0791 solutions Answer 28687 by Nate(3500)   on 2006-06-25 21:05:32 (Show Source): You can put this solution on YOUR website! A. f(2.7) I do not know what f(x) is equal to. B. g(-5) 2.079
 logarithm/43697: Solve for x Log of 2 2^x-5=5 I have x=7.32 Lne^-2x=-10 I have X=1.61 3^x = 30 I have 3.096 Use change of base formula and a clculator to approximate each logarithm to 3 decimal places. Log of 5 1.256 I have =0.142 Log(-7)= can't take lof of a negative number. Please help.1 solutions Answer 28686 by Nate(3500)   on 2006-06-25 21:03:12 (Show Source): You can put this solution on YOUR website! About 3.096 About 0.142 Ten to any power will not equal a negative number. The closest you can get to a negative number is by , but the result is only a small fraction that is positive.
 Quadratic_Equations/43677: find x intercepts y=x^2-4x+41 solutions Answer 28673 by Nate(3500)   on 2006-06-25 18:18:00 (Show Source): You can put this solution on YOUR website!y=x^2-4x+4 0=x^2-4x+4 0=(x-2)^2 x=2
 Quadratic_Equations/43676: find the x intercepts y=x^2-x-201 solutions Answer 28672 by Nate(3500)   on 2006-06-25 17:56:19 (Show Source): You can put this solution on YOUR website! and and
 Graphs/43659: Find the average rate of change illustrated in the graph. 1 solutions Answer 28671 by Nate(3500)   on 2006-06-25 17:54:44 (Show Source): You can put this solution on YOUR website!Find slope: Pick two points: (1,10) and (2,20) Slope(M) = (y2 - y1)/(x2 - x1) = (20 - 10)/(2 - 1) = 10
 Equations/43669: Does anyone know: Is 12 a solution to the equation 19 - x = 7? 1 solutions Answer 28670 by Nate(3500)   on 2006-06-25 17:52:01 (Show Source): You can put this solution on YOUR website!Yes!
 Equations/43661: Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.) for t1 solutions Answer 28669 by Nate(3500)   on 2006-06-25 17:48:25 (Show Source): You can put this solution on YOUR website! +- +-
 Points-lines-and-rays/43596: This question is from textbook Algebra and trigonometry with analytic geometry If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0. My answer is (-infty,0) u (1,4) u (4,infty) is this right. thanks again.1 solutions Answer 28668 by Nate(3500)   on 2006-06-25 17:45:43 (Show Source): You can put this solution on YOUR website! All the values above the x-axis are your answers because is greater than zero. Answer: