# Math Homework Help

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• Math
The condition for the given 3 lengths form a triangle is that the greatest of the 3 sides should be less than the other two sides. Or if a is the greatest of the 3 sides and the other two sides...

Asked by recyclegogreen on via web

• Math
WE know that the three towns form a triangle. For the formation of the three towns, the length of the 3 sides a, b and c shold be such that the grest side a < b+c, where b and c are the other...

Asked by pops2 on via web

• Math
The question given could be analysed in general. But this attempt is only to the limitted sense of solving problems related with rational fractions and rational algebraic expressions. If a...

Asked by hogwarts on via web

• Math
We are given two points P(7,11), Q(-2,4). Now for the distance between P and Q we use sqrt[(-2-7)^2+(4-11)^2] = sqrt [ 81 + 49] = sqrt 130 = 11.40 approximately. The slope of the line PQ is ( 4 -...

Asked by colorcolour on via web

• Math
We have 5^x - 3^x = 2^x. Now to prove that x = 1 is a solution for the equation we substitute x = 1 and we should get the same value on both the sides 5^x - 3^x = 2^x substituting x = 1 in the...

Asked by markusg on via web

• Math
We have to solve 3^(x-2) - 9 = 0. Now we see that 9 = 3^2. 3^(x-2) - 9 = 0 => 3^(x -2) = 9 => 3^(x -2) = 3^2 As the base 3 is same on both the sides, the power should also be the same. =>...

Asked by jamielegood on via web

• Math
Given the function y=3x^3 + 3^x. We need to determine whether y is an increasing function. To verify, we need to determine the first derivative ( y'). If y' is positive, then the function is...

Asked by bulbul on via web

• Math
We are given that lines P and Q are parallel. The slope of line P is 5 and the slope of line Q is 10/v. Now we have to find v. Here we use the property that the slope of parallel lines is the...

Asked by katibatt on via web

• Math
We know that tan x = adjacent side/ opposite side. Now consider x to be angle in a right angled triangle such that tan x = 4/5. The hypotenuse of the right angled triangle is equal to sqrt( 4^2 +...

Asked by ingw33 on via web

• Math
We have to find the exact value of sec 2x given that sin x = 3/5 and cos x = 4/5 Now sec x = 1/cos x. To find the value of sec 2x, we need to find cos 2x and then take its inverse. The relation for...

Asked by tufa on via web

• Math
Here we have to use set theory. Now the total number of investors surveyed is 80. All the investors have either one mutual fund or two stocks. The total number of investors is equal to those who...

Asked by funkychick on via web

• Math
Since the center of the circle is located in the 3rd quadrant, the values of it's coordinates are negative. From enunciation we conclude that x = -3 <=>h =-3, because the radius of the...

Asked by jane1992 on via web

• Math
The first step is to isolate (sin y)^2 to the left side. For this reason, we'll add (sin y)^2 both sides: 11 (sin y)^2 + (sin y)^2 = 13 12 (sin y)^2 =13 We'll divide by 12: (sin y)^2 = 13/12 sin y...

Asked by frontman0 on via web

• Math
We have to solve : x^2 - y^2 = 9 and x - y = 1 using the method of substitution. Now x - y = 1 => x = 1 + y Substitute x = 1+ y in x^2 - y^2 = 9 => ( 1 + y)^2 - y^2 = 9 => 1 + y^2 + 2y -...

Asked by luna9219 on via web

• Math
Given f(2) = 9 , we have to find k in the function f(x) = x^2 - kx - 3. Now f(x) = x^2 - kx - 3, for x =2 => f(2) = 2^2 - k*2 - 3 = 9 => 4 - 2k - 3 = 9 => 2k = 4 - 3 - 9 => 2k = -8...

Asked by gentzisisaci on via web

• Math
We have to find a given that 3 log 4(a-2) = 9/2. Now 3 log 4(a-2) = 9/2 => log 4 (a - 2) = (9/2)/3 => log 4 (a - 2) = (3/2) take the anti log of both the sides => (a - 2) = 4^(3/2) => a...

Asked by hahaz on via web

• Math
We have to find the multiplicative inverse of 4 - 2i. Now the multiplicative inverse of any number X is defined as X^-1, so that X*X^-1 = 1. For 4 - 2i, let the multiplicative inverse be M. Now M*...

Asked by creativluana on via web

• Math
We have to find the tangent to the curve y = x^2 + 8x + 12, at the point where x= -4. Now the slope of the tangent to a curve is given by the derivative of the equation representing the curve. In...

Asked by penarul on via web

• Math
We'll write the numerator and denominator in polar form: z = r(cos t + i*sin t) The reason of putting the numerator and denominator in polar form is to use Moivre's rule. We'll put the numerator in...

Asked by greta92 on via web

• Math
We have to prove that |x|+|y|=<sqrt 2|z|, if z=x+i*y. Now assume that the given relation is true. So |x|+|y|=<sqrt 2|z|. Taking the square of both the sides => (|x|+|y|)^2 =< [(sqrt...

• Math
We have to solve 4x^2 + 3x - 5 > 2 4x^2 + 3x - 5 > 2 => 4x^2 + 3x - 7 > 0 => 4x^2 + 7x – 4x – 7 > 0 => x (4x + 7) – 1(4x + 7) >0 => (x - 1) (4x + 7) > 0 This is...

Asked by carry1 on via web

• Math
We have to simplify (4+3i)^2. Now, let's open the brackets. (4+3i)^2 => 4^2 + (3i)^2 + 2*4*3i => 16 + 9*i^2 + 24i => 16 - 9 + 24i => 7 + 24i Therefore (4+3i)^2 = 7 + 24i

Asked by pufsipene on via web

• Math
The zeroes of a polynomial are the roots of that polynomial. We also know that the complex solutions come in complex conjugate pairs. So, if 2i is a solution of the equation, that means that -2i is...

Asked by noralbbig on via web

• Math
We have a 3M solution and a 4M solution and we are supposed to mix them to create a 3.6M solution. Now if 2 liters of the 4M solution are used, let the volume of the 3M solution used be equal to...

Asked by callen202 on via web

• Math
We have to solve for x given the following equation: 1/2 +7/10x = 13/20. 1/2 + 7/10x = 13/20 multiply all terms with 20x => 1*20x/2 + 7*20x/10x = 13*20x/20 => 10x + 7*2 = 13x Subtract 10x...

Asked by boroboacana on via web

• Math
WE have to simplify [(4t^2-16) / 8] / [(t-2) / 6] [(4t^2-16) / 8] / [(t-2) / 6] => [(4t^2-16) / 8] * [6 / (t-2)] => [(4t^2-16)*6 / 8*(t-2)] => [(2t - 4)(2t + 4)*6 / 8*(t-2)] =>[4(t -...

Asked by lejandan on via web

• Math
We have to find the integral of y=1/(x-1)(x+4) We know that the integral of 1/(1+x) ln (1+x). We need to convert the given expression to a sum of two terms with a similar form. Let's write...

Asked by portoruj on via web

• Math
We'll form a right angle triangle, whose hypotenuse is the distance from origin to the point and one cathetus is its abscisa and the other cathetus is the ordinate. We'll note the distance as r: r...

Asked by jolenta on via web

• Math
We'll establish the cost of an apple as x and the cost of an orange as y. We'll write mathematically the phrase "5 apples and 4 oranges cost \$ 3.40": 5x + 4y = 3.4 (1) We'll write mathematically...

Asked by galbenusa on via web

• Math
We'll write the rate of the 1st investment: Interest = Price*rate*time We'll substitute the known data: 945 = 6000*r*3.5 We'll divide by 6000*3.5: r = 945/(6000*3.5) r = 0.045 or 4.5% per year...

Asked by andrzej on via web

• Math
First, we'll impose the constraints of existence of logarithms: x - 24/5>0 x > 24/5 2x>0 x>0 The common interval of admissible values for x is (24/5 ,+inf.). Now,we'll could solve the...

Asked by latimer on via web

• Math
We'll solve the equation considering 4 cases of study. The expressions 3x-4 and 3-4x can be either positive or negative. Case 1: 3x-4 = 3-4x Case 2: -(3x-4) = 3-4x Case 3: 3x-4 = -(3-4x) Case 4:...

Asked by leaffyblue on via web

• Math
To convert a complex number a + bi into the polar form we need to find r which is equal to sqrt (a^2 + b^2) and the angle theta given as arc tan (b/a) For the complex number 7 - 5i we have a = 7...

Asked by carolinesmiths on via web

• Math
Let u be the initial velocity of the object thrown up verically. So the ovject goes on loosing its velocity till the final velocity of the object becomes zero. Therefore v = u-gt = 0, where v is...

Asked by dipwaud3 on via web

• Math
The stone thrown upwards will slow down under the influence of gravity till it reaches 0 velocity/speed and will again start falling down with increasing velocity in downward direction till it hits...

Asked by hinkberries on via web

• Math
We know that the primes are integers divisible by 1 and themselves only: The set of the primes is: 2, 3, 5, 7, 11, 13, 17, .... Then the first three primes are 2 , 3, and 5 Let the other prime be...

Asked by carlw1 on via web

• Math
We have the equation of the circle given as x^2 + y^2 + 8x + 6y = 0. Now, the equation of a circle with center (h, k) and radius r is (x − h)^2 + (y − k)^2 = r^2 So we convert x^2 + y^2 + 8x +...

Asked by tonys538 on via web

• Math
We have to find the perpendicular distance of the point (5, 6) from the line -2x + 3y + 4 = 0. Now, we know that the perpendicular distance of the point (m, n) from the line Ax + By + C = 0 is...

Asked by tonyah995 on via web

• Math
We need to find equivalent fractions for 0.60 , 1.7 , 0.05 , 2.3 , 0.15 and 0.625. An easy way to do this is write them as a number divided by a power of 10. Then for equivalent fractions multiply...

Asked by meka570 on via web

• Math
[2][x] + [y] = [4]....(1) [2] [x] +[4](y)] = [5]....(2) Where all values of the form [n] belongs to the z sub 7 system of numbers. Subtract (1) from (2) and we get: [4][y] - [y] = = [5]-[4]....

Asked by justbecaz44 on via web

• Math
Z5 multiplication table. The Z5 congruence class consists of the numbers 0,1,2,3,4. So Multiplication any 2 numbers in z system is given below: In Z5 system we represent numbers by the rule: a*b =...

Asked by justbecaz44 on via web

• Math
We have the equation of the curve as y = x^3 - 2x^2 + 5 To find the slope or the gradient of the tangent drawn at any point on this curve, we need to find the differential. y’ = 3x^2 – 4x For...

Asked by timw996 on via web

• Math
358x = 17(mod313). To find the solution x, where x is in Z. We proceed like this: Let us find the gcd in the usual procedure: 358 = 313*1 +45. 313 = 45*6+43 45 = 43*1+2. 1= 2*21 +1. Therefore , we...

Asked by justbecaz44 on via web

• Math
The function for the profit earned per TV manufactured is given as P = 100x − 0.02x^2. Now we need to find the number of TV's that should be manufactured to earn the maximum profits. To solve...

Asked by thomas666 on via web

• Math
Let the length of the rectangle be L and the width be W Given the the Length is twice the width: Then, we will write: L = 2W.............(1) Also, given that the area is 98. We know that the area...

• Math
Let the equation of the line be : y- y1 = m ( x-x1) where ( x1, y1) any point passes through the line and m is the slope. Given that the line passes through the origin point Then the line passes...

Asked by dcnaser on via web

• Math
Let mark's age be M and his sister's age is S Given that mark is 4 years older than his sister: Then M = S + 4 ............(1) Now after 3 years: Mark's age = M + 3 His sister's age = S + 3 But...

Asked by maurochaves1 on via web

• Math
Let the numbers be x and y Given that the sum of both numbers is 23: Then we will write: x+ y = 23..............(1) Also, given that the difference between the numbers is 1: x - y =...

Asked by michaelrisner on via web

• Math
Let the vertices of the triangle be : A(-1,1) B( 2,0) and C ( 4,-2) First we will calculate the length of the sides: AB = sqrt( 2+1)^2+ ( 0-1)^2 = sqrt(3^2 + 1) = sqrt( 10) ==> AB...

Asked by talal042004 on via web