Decompose -6x/(x+4)(x-4) into partial fractions

Answers

Answer 1

Answer: Hello,

Integration fractions?

-6x/((x+4)(x-4))=A/(x+4)+B/(x-4)=((A+B)x-4A+4B)/((x+4)(x-4))
==> A+B=-6 and -4A+4B=0
==>A=B=-3

Answer -3/(x+4)-3/(x-4)

Related Questions

Write in simplest form - 8:20
10x -2y = 10 in slope intercept form
. . Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.. . (3, 2). . interior. exterior. on the circle
What is the next letter? Y B W D U F
Fyi everyone, random231 is awesomeFor a craft project, four students each chose three pieces of wire from a box. Don’s wires measure 3 inches, 5 inches, and 12 inches. Margo’s wires measure 6 inches, 8 inches, and 14 inches. Sonji’s wires measure 12 inches, 8 inches, and 17 inches. Liam’s wires measure 16 inches, 8 inches, and 27 inches. Which student chose pieces that can be used to construct a triangle? a. Don b. Margo c. Sonji d. Liam

Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.

The perimeter of the scale drawing is 7.25 11.875 14.5 47.5those are the answers to choose from

centimeters.

The perimeter of the actual flag is
inches. 14.5 29 47.5 95 those are the answers to choose from

Answers

P1=2.5+2.5+4.75+4.75=14.5 cm

0.5 cm - 1 in
2.5 cm - 5 in
4.75 cm - 9.5 in

P2=5+5+9.5+9.5=29 in

Simplify. Write in radical form.
(x^3y^-2/xy)^-1/5

Answers

Answer:

The radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Step-by-step explanation:

Given : $((x^3y^(-2))/(xy))^{(-1)/(5)}$

We have to simplify the given expression and write in radical form.

RADICAL FORM is the simplest form of expression that do not involve any negative exponent and power is less than n, where n is the nth root of that expression.

Consider the given expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$

Cancel out the common factor x, we get,

$((x^2y^(-2))/(y))^{(-1)/(5)}$

Using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((x^2)/(y\cdot y^2))^{(-1)/(5)}$

Using laws of exponents, $x^m \cdot x^n=x^(m+n)$ , we have,

$((x^2)/(y^3))^{(-1)/(5)}$

Again using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((y^3)/(x^2))^{(1)/(5)}$

Also, written as $\sqrt[5]{(y^3)/(x^2)}$

Thus, the radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Hope this helped! Much luck!

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with the ground?A. 25 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Answers

Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C

Write 144 with an exponent by using 12 as the base

Answers

the answer would be $12^(2)$ because you are using 12 as the base and 12 x 12 = 144

Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests

Answers

no it is not. if that y by the x wasn't there then yes it would be

Final answer:

Yes, the equation 4xy + 2y = 9 is linear. Its standard form is 4xy + 2y - 9 = 0. The x-intercept is (2.25, 0) and the y-intercept is (0, 4).

Explanation:

Yes, the equation 4xy + 2y = 9 is linear. To write it in standard form, we can rearrange the terms to bring them all to one side of the equation:

4xy + 2y - 9 = 0

The x and y intercepts can be determined by setting either x or y to 0 and solving for the other variable. Let's set x = 0:

2y - 9 = 0

Solving for y, we get y = 4. So the y-intercept is (0, 4).

Next, let's set y = 0:

4x + 0 - 9 = 0

Solving for x, we get x = 2.25. So the x-intercept is (2.25, 0).

Learn more about Linear equations here:

brainly.com/question/32634451

#SPJ11

What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

Other Questions

A principal of $4900 is invested at 8.5% interest, compounded annually. how much will the investment be worth after 7 years? Round to the nearest dollar

Trig please helpLaw of Sines and the Ambiguous Case.In ∆ ABC, a =10, c = 16, and m < A = 44*How many distinct triangles can be drawn given these measurements?

Twice the difference of a number and 5

When two musical notes are a “sixth” apart, the frequency of the lower note is 3/5 the frequency of the higher note. Using f as the frequency of the higher note, write an expression for the frequency of the lower note. HELP!1. f - 2/52. 3/5 f3. 2/5 f4. 3/5 + f