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Alan3354 answered: 30939 problems
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Linear-systems/697684: I need help finding the real-number solutions for please and thank you 1 solutions Answer 430218 by Alan3354(30959)   on 2013-01-01 14:47:23 (Show Source): You can put this solution on YOUR website! I need help finding the real-number solutions for --------- Factor out 3x 3x = 0 --> x = 0 ------------- Factor the trinomial that's left.

Trigonometry-basics/697687: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx 1 solutions Answer 430210 by Alan3354(30959)   on 2013-01-01 14:02:49 (Show Source): You can put this solution on YOUR website! sin2x=sinx ------------ sin2x - sinx = 0 2sinxcosx - sinx = 0 sin(x)*(2cosx - 1) = 0 ---- sinx = 0 x = 0, 180, 360 ---- 2cosx = 1 cosx = 1/2 x = 60, 300

test/697690: x^2/10 - x/5 +2 = 0 How do i cancel out the denomonators? 1 solutions Answer 430208 by Alan3354(30959)   on 2013-01-01 13:51:24 (Show Source): You can put this solution on YOUR website! x^2/10 - x/5 +2 = 0 How do i cancel out the denomonators? ---------- Multiply by 10

Rational-functions/697662: what are the x & y intercepts of the circle with the equation (x-4)^2+(y+6)^2=13 1 solutions Answer 430201 by Alan3354(30959)   on 2013-01-01 11:50:47 (Show Source): You can put this solution on YOUR website! what are the x & y intercepts of the circle with the equation (x-4)^2+(y+6)^2=13 --------- The center is (4,-6) The radius is less than 4 --> no intercepts

Linear-equations/697670: How do you find the slope of -2-y=0 1 solutions Answer 430200 by Alan3354(30959)   on 2013-01-01 11:41:25 (Show Source): You can put this solution on YOUR website! How do you find the slope of -2-y=0 ---- y = -2 y = 0x - 2 Slope = zero

test/697654: Give the complex number, -6 + 4i 1 solutions Answer 430198 by Alan3354(30959)   on 2013-01-01 11:18:46 (Show Source): You can put this solution on YOUR website! Give the complex number, -6 + 4i ---------- What's your question?

Rational-functions/697664: a vertical line intersects the x-axis at (3,0) and at a circle at two points. The circle has a radius of 5 and its center is the origin. What are the coordinates of the points intersection. 1 solutions Answer 430197 by Alan3354(30959)   on 2013-01-01 11:16:19 (Show Source): You can put this solution on YOUR website! a vertical line intersects the x-axis at (3,0) and at a circle at two points. The circle has a radius of 5 and its center is the origin. What are the coordinates of the points intersection. ----------- The distance from the Origin = 5, the radius. x = 3 --> y = -4 & 4 (3,-4) & (3,4)

Linear-systems/697616: x+y+3z+2w=13 x-2y+2z+w=8 3x+y+z-2w=1 1 solutions Answer 430190 by Alan3354(30959)   on 2013-01-01 09:49:08 (Show Source): You can put this solution on YOUR website! x+y+3z+2w=13 x-2y+2z+w=8 3x+y+z-2w=1 ------------- 4 variables, 3 equations. What do you want to do?

Surface-area/697640: if a sphere of diameter 12 cm is melted and drawn into wire of diameter 0.2 cm,find lenght of wire? 1 solutions Answer 430183 by Alan3354(30959)   on 2013-01-01 08:48:46 (Show Source): You can put this solution on YOUR website! if a sphere of diameter 12 cm is melted and drawn into wire of diameter 0.2 cm,find lenght of wire? ------------- cc ---------- L = 7200 cm

Numbers_Word_Problems/697644: If sum of two consecutive two natural no is 27 find which one is even no 1 solutions Answer 430182 by Alan3354(30959)   on 2013-01-01 08:45:40 (Show Source): You can put this solution on YOUR website! If sum of two consecutive two natural no is 27 find which one is even no -- 27/2 = 13.5 the center --> 13 & 14

Complex_Numbers/697562: For y=2|2-3x|-3, what are the values of x satisfy y > 5 1 solutions Answer 430158 by Alan3354(30959)   on 2012-12-31 20:11:09 (Show Source): You can put this solution on YOUR website! For y=2|2-3x|-3, what are the values of x satisfy y > 5 --------------- 2|2-3x|-3 > 5 2|2-3x| > 8 |2-3x| > 4 -------------- 2-3x > 4 -3x > 2 x < -2/3 ------------- 2-3x > -4 -3x > -6 x < 2 ----------- x < -2/3 is included in x < 2

Expressions-with-variables/697601: The owner of a shooting gallery charges 5 cents for each miss and pays out 25 cents for each hit. After 30 shots a poor marksman has to pay 90 cents. How many hits and missed did he make? 1 solutions Answer 430157 by Alan3354(30959)   on 2012-12-31 20:05:13 (Show Source): You can put this solution on YOUR website! The owner of a shooting gallery charges 5 cents for each miss and pays out 25 cents for each hit. After 30 shots a poor marksman has to pay 90 cents. How many hits and missed did he make? ---------------------------------------- h + m = 30 25h - 5m = 90 ----------------- Can you do the rest?

Functions/697607: Hello, "Given f(x)=sinx and g(x)=logx what is the domain of h(x)=g(x)+f(x)" Im sorta stumped, it's pretty obvious that you cant 'add the functions' like you would if they were like terms. Do you graph? Then What? Just point me in the right direction please. :) Adam 1 solutions Answer 430155 by Alan3354(30959)   on 2012-12-31 19:59:47 (Show Source): You can put this solution on YOUR website! "Given f(x)=sinx and g(x)=logx what is the domain of h(x)=g(x)+f(x)" x has to be >0 for log(x) --> domain 0< x < infinity

Age_Word_Problems/697507: jason is 2 years older than holly. The sum of their ages is 10. How old is each? 1 solutions Answer 430150 by Alan3354(30959)   on 2012-12-31 17:55:01 (Show Source): You can put this solution on YOUR website! 4 & 6

Complex_Numbers/697551: What is the maximum y value of V(x)=x(x-10)(x-8) 1 solutions Answer 430143 by Alan3354(30959)   on 2012-12-31 17:35:55 (Show Source): You can put this solution on YOUR website! What is the maximum y value of V(x)=x(x-10)(x-8) ----------- V(x) = x^3 - 18x^2 + 80x V'(x) = 3x^2 - 36x + 80 = 0 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) 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 : . Discriminant d=336 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 9.05505046330389, 2.94494953669611. Here's your graph: ---------------- ----------- V''(x) = 6x - 36 --> inflection at x = 6 --> local max @ x2, 2.9449... max = V(x2) =~ 105.0276

Points-lines-and-rays/697594: if i have a 16 inch diameter pizza cut into 6 slices what would the interior angle and arc length be of the slices? 1 solutions Answer 430130 by Alan3354(30959)   on 2012-12-31 16:47:26 (Show Source): You can put this solution on YOUR website! if i have a 16 inch diameter pizza cut into 6 slices what would the interior angle and arc length be of the slices? ----------- Circumference = pi*d Arc length = C/6 Angle = 360/6 degs

Points-lines-and-rays/697593: if i have a 16 inch diameter pizza cut into 8 slices what would the interior angle and arc length be of the slices? 1 solutions Answer 430128 by Alan3354(30959)   on 2012-12-31 16:46:45 (Show Source): You can put this solution on YOUR website! if i have a 16 inch diameter pizza cut into 8 slices what would the interior angle and arc length be of the slices? ----------- Circumference = pi*d Arc length = C/8 Angle = 360/8

Linear-equations/697582: what is the equation of a line that passes through the point (2,1) and has a slope of 3/4 1 solutions Answer 430121 by Alan3354(30959)   on 2012-12-31 16:15:13 (Show Source): You can put this solution on YOUR website! what is the equation of a line that passes through the point (2,1) and has a slope of 3/4 ------------ Use y = mx + b and the point to find b ---- Then, it's y = (3/4)x + b

Length-and-distance/697559: what is the midpoint of the line segment that connects the points 1,2 and 6,7 1 solutions Answer 430119 by Alan3354(30959)   on 2012-12-31 16:11:32 (Show Source): You can put this solution on YOUR website! what is the midpoint of the line segment that connects the points 1,2 and 6,7 ------------ Find the average of x & y separately. avg of x = (x1+x2)/2 x1 = 1 x2 = 6 etc

Angles/697581: Two of the angles in a triangle measure 90° and 26°. What is the measure of the third angle? 1 solutions Answer 430118 by Alan3354(30959)   on 2012-12-31 15:49:13 (Show Source): You can put this solution on YOUR website! Two of the angles in a triangle measure 90° and 26°. What is the measure of the third angle? -------------- The sum of all 3 angles = 180 degs.

Reduction-of-unit-multipliers/697588: write as a unit rate(include units) 200 miles in 3 hours 1 solutions Answer 430117 by Alan3354(30959)   on 2012-12-31 15:48:19 (Show Source): You can put this solution on YOUR website! 200 mi/3 hr = 200/3 mi/hr

Length-and-distance/697561: the length of the line segment connecting (2 -2) and (-3 -1) is? 1 solutions Answer 430107 by Alan3354(30959)   on 2012-12-31 14:02:41 (Show Source): You can put this solution on YOUR website! the length of the line segment connecting (2 -2) and (-3 -1) is? ----------- ---------- PS Use a comma (and no space) between the x & y (2,-2) and (-3,-1)

Proportions/697564: If the diameter of circle A is twice that of circle B, what is the ratio of the area of circle A to the area of circle B? 1 solutions Answer 430106 by Alan3354(30959)   on 2012-12-31 14:00:43 (Show Source): You can put this solution on YOUR website! If the diameter of circle A is twice that of circle B, what is the ratio of the area of circle A to the area of circle B? ---------------- It's 4 times. The diameter is squared, so 2d --> 4d^2

Linear-systems/697571: Is the ordered pair (3,-4) a solution to: 5x-2y=17? Is the ordered pair (-2,8) a solution to: y-9=3x? Is the ordered pair (-1,3) a solution to: -3x+4y=15? Is the ordered pair (1,-2) a solution to: -5x-3y=1? Is the ordered pair (-2,7) a solution to: 2y+6x=2? Is the ordered pair (4,6) a solution to: 2y+6x=2? Is the ordered pair (9,-3) a solution to: 4y-3x=45? Is the ordered pair (-7,2) a solution to: 19+2x=2y? HELP!!! i wasnt here the day we learned this in class and now i have homework and i need to show work so PLEASE HURRY!!! i am doing a year up course in math so it is complicated (for me)and i am desperate for help! SHOW WORK PLEASE!!! 1 solutions Answer 430105 by Alan3354(30959)   on 2012-12-31 13:58:36 (Show Source): You can put this solution on YOUR website! Is the ordered pair (3,-4) a solution to: 5x-2y=17? Sub 3 for x, and -4 for y and see if it's equal. 5x-2y=17 5*3 - 2*(-4) =? 17 15 + 8 =? 17 23 =? 17 Not equal, so not a solution. ------------------------------- All the others are the same. Try them. Email via the Thank You note for help, or to check your work. =============================================== Is the ordered pair (-2,8) a solution to: y-9=3x? Is the ordered pair (-1,3) a solution to: -3x+4y=15? Is the ordered pair (1,-2) a solution to: -5x-3y=1? Is the ordered pair (-2,7) a solution to: 2y+6x=2? Is the ordered pair (4,6) a solution to: 2y+6x=2? Is the ordered pair (9,-3) a solution to: 4y-3x=45? Is the ordered pair (-7,2) a solution to: 19+2x=2y?

Trigonometry-basics/697411: If cos75 = sinx, find the number of degrees in the measure of acute angle x 1 solutions Answer 430093 by Alan3354(30959)   on 2012-12-31 10:11:41 (Show Source): You can put this solution on YOUR website! If cos75 = sinx, find the number of degrees in the measure of acute angle x --------- 90 - 75 x = 15 degs

Sequences-and-series/697503: hi i have a question that says: if a=3 and 3=0.6 what are the first 4 terms of the geometric series thank you any help is appreciated 1 solutions Answer 430091 by Alan3354(30959)   on 2012-12-31 09:22:35 (Show Source): You can put this solution on YOUR website! if a=3 and 3=0.6 ------------ 3 does not equal 0.6

Linear-systems/697527: please help me to solve this: which value of b will make the system y=x-1 and y=4x-b intersect at the point (4,3)? 1 solutions Answer 430090 by Alan3354(30959)   on 2012-12-31 09:19:25 (Show Source): You can put this solution on YOUR website! which value of b will make the system y=x-1 and y=4x-b intersect at the point (4,3)? ---------- y=4x-b Sub 3 for y and 4 for x to find b

Age_Word_Problems/697525: when I was 2 years old./..my brother was half of my age....now I am 100 years old....tell me how old is my brother now???? 1 solutions Answer 430088 by Alan3354(30959)   on 2012-12-31 09:14:47 (Show Source): You can put this solution on YOUR website! when I was 2 years old./..my brother was half of my age....now I am 100 years old....tell me how old is my brother now???? ------------ He's 1 year younger.

Travel_Word_Problems/697471: the distance an object travels when it moves at a constant rate by formula d=r t,where d represents distance,r represents rate and t represents time. How long does it take an airplane to travel 630 miles if its rate is 180 miles per hour? 1 solutions Answer 430086 by Alan3354(30959)   on 2012-12-31 09:07:38 (Show Source): You can put this solution on YOUR website! How long does it take an airplane to travel 630 miles if its rate is 180 miles per hour? --------- d = r*t t = d/r

Percentage-and-ratio-word-problems/697512: Explain why (1+2)/(2+2) not a correct expression for the difference of 3 1/2 and 2 1/2, while (4*2)(1/8) is a correct expression? 1 solutions Answer 430084 by Alan3354(30959)   on 2012-12-31 09:06:41 (Show Source): You can put this solution on YOUR website! Explain why (1+2)/(2+2) not a correct expression for the difference of 3 1/2 and 2 1/2, while (4*2)(1/8) is a correct expression? ---------- 3 1/2 minus 2 1/2 = 1 ---- (1+2)/(2+2) does not = 1 (4*2)(1/8) does = 1

Trigonometry-basics/697519: SIN(x)=TAN(x) 1 solutions Answer 430083 by Alan3354(30959)   on 2012-12-31 08:48:11 (Show Source): You can put this solution on YOUR website! SIN(x)=TAN(x) ---------- sin(x) - tan(x) = 0 sin(x) - sin(x)/cos(x) = 0 sin(x)*(1 - sec(x)) = 0 sin(x) = 0 x = 0 + n*pi, n = 0,1,2,3... ------------- sec(x) = 1 cos(x) = 1 Included in the 1st answer.