# Math Homework Help

### Showing All Questions Answered Popular Recommended Unanswered Editor's Choice in Math

• Math
The shade is made of a piece of material that has a length of 1.5 m and a width of 2 m. It is placed at an angle of 60 degrees to the ground when the shade is created. At 12 noon, when the sun is...

Asked by rosemin on via web

• Math
The tension in the rope used by which the box is being moved is equal to 350 N. The rope makes an angle of 50 degrees with the horizontal. The box is on a ramp inclined at 20 degrees. It is pulled...

Asked by rosemin on via web

• Math
There are originally 4 red balls and 7 blue balls in the box. When the first ball is drawn, the probability of drawing a blue ball is 7/11. If the 1st ball is blue it is kept outside, there are now...

Asked by torrip996 on via web

• Math
The first airplane is flying at 400km/h and going towards the west. The second airplane is traveling at 500 km/h and flying towards the south. They both pass each other at 11:00 a.m. At 1:00 pm, 2...

Asked by xetaalpha on via web

• Math
We have to express (x-3) raise to the power of two / 5 + (y+3) raise to the power of two / 6 = 1 in the general form The given statement can be used to construct the following matrix: ((x - 3)^2)/5...

Asked by tert on via web

• Math
We use the symbol "^" to refer to the power or the exponent. In some math platforms, the system does not support some mathematical symbols. For example: 2^2 = 2 (square) = 4 3^2 = 9 4^2 = 16 We use...

Asked by brittanyng on via web

• Math
We have to solve the system of equations 3x - 4y = 25 -2x + y = -10 3x - 4y = 25 => 3x = 25 + 4y => x = ( 25 + 4y)/3 substitute in -2x + y = -10 => -2 ( ( 25 + 4y)/3) + y = -10 => ( 25...

Asked by ryanomar on via web

• Math
We have to solve sqrt ( 3x - 2)^2 < 5 => (3x - 2)^2 < 25 Now (3x - 2)^2 can be less than 25 if 3x - 2 is less than sqrt 5 or if 3x - 2 is greater than - sqrt 5 This gives two inequalities...

Asked by clara2 on via web

• Math
We have to solve the equation |-2x + 5| = 2x - 5 Now |-2x + 5| = -2x + 5 or 2x - 5 So we get -2x + 5 = 2x - 5 => 4x = 10 => x= 5/2 and 2x - 5 = 2x - 5, which does not yield a solution The...

Asked by nano75 on via web

• Math
(-3 + 2i)^2 - 3(3-i)(-2+2i) We need to write into the standard form z= a+ bi Let us open the brackets. ==> (-3+2i)^2 = (-3)^2 +2*-3*2i + 4i^2 But i^2 = -1 ==> (-3+2i)^2 = 9 - 12i - 4 = 5-...

Asked by feres on via web

• Math
We have log (7) a + log (a) 7 = 2 We use the relation for logarithms that log a + log b = log (a*b) and log (a) b = 1 / log(b) a. log (7) a + log (a) 7 = 2 => log (7) a + 1/ log (7) a = 2 =>...

• Math
We have log(3) [3^(b+1) - 18] = 2 log(3) [3^(b+1) - 18] = 2 taking the anti-log of both the sides 3^(b+1) - 18 = 3^2 => 3^( b + 1) - 18 = 9 => 3^( b+ 1) = 27 => 3^( b + 1) = 3^3 As the...

Asked by totoo on via web

• Math
We have ln (ln (x)) = 4 ln x has a base of e. Taking the antilog of both the sides => ln (x ) = e^ 4 Taking the antilog of both the sides again => x = e^ ( e^4) The required value of x is...

Asked by jude69 on via web

• Math
The line 2x = 8 or x = 4 is one that is parallel to the y-axis. The slope of the line is infinity. -3y = 15 or y = -5 is parallel to the x- axis. This line has a slope equal to 0. As the x-axis and...

Asked by lalooo on via web

• Math
Given the points ( 2,3) and (4, 6) passes through a line. We know that the equation of the line is given by : y-y1= m(x-x1) where (x1,y1) is any point on the line and m is the slope. Let us...

Asked by kokibrazil on via web

• Math
Given the points ( 4, -5) and the point ( 3, 7) passes through line L. We need to find the slope of any perpendicular line to L. First we will determine the slope of L. We know that: m =...

Asked by yasmin130 on via web

• Math
For the inequation x^2 - 5x + 6 > 0 we first write the quadratic expression as factors x^2 - 5x + 6 > 0 => x^2 - 3x - 2x + 6 > 0 => x( x - 3) - 2(x - 3) > 0 => (x - 3)(x - 2)...

Asked by katlego1 on via web

• Math
The answer to this problem can be found using a simple algebraic expression. We know that the height of the replica is 22 inches, and we know that this is 1/3 of the height of the original. Let's...

Asked by b198125 on via web

• Math
Given the function: y= x^2 When adding 2 units up, then the y value will increase 2 unites. Then , y will be y+2 ==> y= x^2 +2 Now, when moving 3 units to the left, then x values will decrease...

Asked by mamawhit on via web

• Math
Given the quadratic equation: 3x^2 - 7x = 3 ==> 3x^2 - 7x -3 = 0 We need to determine the type of roots. Then, we will use the discriminant to find out. We know that: delta = b^2 - 4ac If delta...

Asked by sammysoso on via web

• Math
Let the age of Sheila be S, Nicole's age be N and Steve's age be T. Sheila's age is 2 more than Nicole's age. S = 2 + 2*N The sum of Sheila and Nicole's age is the same as that of Steve T = S + N...

Asked by schooldump on via web

• Math
hyperbola: The standard form: (x-x1)/a^2 + (y-y1)^2/b^2 = 1 Examples: (x+1)^2/5+(y-2)^2/25 =1 (x+2)^2/25-(y-1)^2/9=1 Circle: The standard form: (x-x1)^2 + (y-y1)^2 = r^2 (x1,y1) is the center...

Asked by mia2011 on via web

• Math
We have to integrate e^x / (x – 2) We use integration by parts here: The general formula is Int [ u dv] = u*v – Int [ v du] let u = (x – 2) , du = dx dv = e^x , v = e^x => Int [ (x – 2)...

Asked by sweetdreams365 on via web

• Math
We have to prove that 1- [(cos x)^2 /( 1 + sin x)] = sin x 1- [(cos x)^2 /( 1 + sin x)] => [1 + sin x – (cos x)^2] / ( 1 + sin x) use 1 = (cos x)^2 + (sin x)^2 => [(sin x)^2 + (cos x)^2 +...

Asked by cruth8646 on via web

• Math
We have f(x) = x + 4 and g(x) = 2x - 5. fog(x) = f(g(x)) = f( 2x - 5) = 2x - 5 + 4 = 2x - 1 To find the inverse function of fog(x), let y = fog(x) = 2x - 1 => y = 2x - 1 => y + 1 = 2x =>...

Asked by carry1 on via web

• Math
It is given that u^2 = v^2 + (m/n)((u-v)^2) and we have to prove that : v/u = (m-n)/(m+n) u^2 = v^2 + (m/n)((u-v)^2) => u^2 - v^2 = (m/n)((u-v)^2) => (u^2 - v^2)/ (u-v)^2 = (m/n) => (u -...

Asked by callen202 on via web

• Math
For the given equations: For a quadratic equation ax^2 + bx + c = 0, the roots are [-b+ sqrt (b^2 - 4ac)]/2a and [-b - sqrt (b^2 - 4ac)]/2a. The sum of the two roots is -2b / 2a = -b/a We have the...

Asked by akritins on via web

• Math
We have to prove that if y= a*sin nx + b*cos nx , y’’+ n^2*y= 0 y = a* sin nx + b*cos nx We know the derivative of sin nx = n* cos nx and the derivative of cos nx = -n*sin nx y’ = na * cos nx...

Asked by xetaalpha2 on via web

• Math
We have to solve x^3 + x^2 – 5x – 2 = 0 => x^3 - 2x^2 + 3x^2 – 6x + x – 2 = 0 => x^2( x – 2) + 3x ( x – 2) + 1(x – 2) = 0 => (x^2 + 3x + 1) (x – 2) = 0 => (x^2 + 3x +...

Asked by greg1234 on via web

• Math
Let the number consist of the digits x and y, or it is represented by xy. It is given that adding 27 to the number causes the digits to get interchanged:(xy + 27) = yx We can write this as (10*x +...

Asked by lxsptter on via web

• Math
A dice has 6 sides with the numbers 1,2,3,4,5 and 6. Of these 3 are even. When the dice is rolled the first time the chance of getting an even number is 3/6 = 1/2. On the second roll, the chance of...

Asked by timw996 on via web

• Math
The general equation of a line expressed in terms of its intercepts is x/a + y/b = 1, where a is the x-intercept and b is the y-intercept. Substituting the values given: x/ 6 + y/ 14 = 1 => 14 x...

Asked by thomas666 on via web

• Math
The surface area and volume of solids like prisms, pyramids, cones, cylinders, and spheres can be determined by using the following formulae. Only the required values for the variables in the...

Asked by nerdguy22 on via web

• Math
The curve we have is : x^m/a^m+y^m/b^m=1 If we differentiate the two sides we get: (1/a^m)(m*x^(m-1)) + (1/b^m)(m*y^(m-1))dy/dx = 0 => dy/dx = [-(1/a^m)(m*x^(m-1))]/[(1/b^m)(m*y^(m-1))] The...

Asked by farahyasmin on via web

• Math
We have the following simultaneous equations to solve: 3x + 4y + z = 7 …(1) 2y + z = 3 …(2) -5x + 3y + 8z = -31 …(3) From (2), we get 2y + z = 3 => z = 3 – 2y substitute in (1) => 3x...

Asked by xetaalpha on via web

• Math
I assume the earlier answer did not match your solution as you had not specified the exact direction of the wind. It is blowing from 25 degrees, but 25 degrees to what. Also, you had specified the...

Asked by rosemin on via web

• Math
The bumper is initially hung vertically and it has a weight of 150 N. The sailor grabs the rope holding the bumper and pulls it horizontally so that the rope makes an angle of 40 degrees with the...

Asked by rosemin on via web

• Math
L(t) = 1208 ( 1.265)^t The environmentalists needs t years in order to solve the problem. Since they have enough rainbow for only 10,000 leprechauns, then they have time until the population reach...

Asked by mamawhit on via web

• Math
Given that: v1= 226 where D= 6 in ==> The radius (r1)= 6/2 = 3 ==> v1 = r^2 * pi * h1 ==> 226 = 9 * pi * h1...........(1) We need to find the value of the volume (v2) when the height is...

Asked by b198125 on via web

• Math
To cover a certain area the builder needs x numbers of 4-in tiles and y numbers of 16-in tiles. If he will only use the 4-in tiles he will need to replace y numbers of 16-in tiles with the 4-in...

Asked by ifrab on via web

• Math
In the problem we are given the length of two of the sides of the triangle and we have two of the angles. The sum of the three angles of a triangle is equal to 180 degrees. Using this, the third...

Asked by jatmeh on via web

• Math
The general form of a circle with a center (a, b) and radius r is (x - a)^2 + (y - b)^2 = r^2 We have the center as (-2 , -3) and the radius is 8 Substituting these values we get : (x + 2)^2 + ( y...

Asked by mia2011 on via web

• Math
We have to find the units digit of 3^4027. 3^1 = 3, 3^2 = 9, 3^3 = 27, 3^4 = 81, 3^5 = 243... We see that the units digit follows the series 3, 9, 7, 1 and it repeats after 4 powers. 3^4027 =...

Asked by sylli on via web

• Math
If the given integration is correct the derivative of (u/8)*(2u^2 - a^2)sqrt( a^2 - u^2) + (a^4/8)arc sin (u/a) + C should be u^2*sqrt ( a^2 - u^2) [(u/8)*(2u^2 - a^2)sqrt( a^2 - u^2) + (a^4/8)arc...

Asked by tgl223 on via web

• Math
We have to find the tangent to the circle x^2 + y^2 + 10x - 6y - 2 = 0 parallel to y = 2x without using calculus. The given circle is x^2+y^2+10x-6y-2=0 => x^2+ 10x + 25 + y^2 - 6y + 9 = + 25 +...

Asked by fish-swim on via web

• Math
The line x + 8y = 9 can be rewritten in the form y = -x / 8 + 9/8 where -1/8 is the slope. The angle that is formed by the line with the positive x – axis is arc tan (-1/8). We need to find the...

Asked by beatrice0866 on via web

• Math
The slope of the tangent to a curve at any point is the value of the first derivative at that point. Here, we have the curve y = sqrt ( 2x^2 +1) y' = 4x * (1/2) (2x^2 + 1)^(-1/2) => y' = 2x/...

Asked by littlecrumpet on via web

• Math
The area of a triangle is given by the formula (1/2)* base * height. To enclose a triangle with the largest area within a rectangle its base would have to be one of the sides of the rectangle and...

Asked by schooldump on via web

• Math
Imagine 4-inch tiles laid out on top of a 16-inch square tile. There would be 4 rows of 4-inch squares, with 4 tiles in each row. Each 4-inch square tile has an area of 16 square inches (4 x 4),...

Asked by s-oh-nine on via web