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Nate answered: 3498 problems
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Trigonometry-basics/43785: in triangle ABC, a = 5, b = 9, and c = 6. Find angle A, angle B, and angle C. Thanks 1 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-6,3x 1 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, Ashley 1 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, Ashley 1 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 Thanks 1 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 = 1 1 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 = 1/8 1 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 = -2 1 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=20 1 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, Ashley 1 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): You can put this solution on YOUR website!

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 fourth 1 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 2.079 1 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+4 1 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-20 1 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 t 1 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: