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2 years ago

Add or subtract as indicated

Mathematics

1 answer:

Aliun [14]2 years ago

5 0

Option B: $\frac{11x-9}{x^2-1}$ is the correct answer

Step-by-step explanation:

Given

$\frac{5}{x+1} + \frac{6}{x-1} -\frac{10}{x^2-1}$

Simplifying x^2-1

$x^2-1 = (x+1)(x-1)$

So,

$\frac{5}{x+1} + \frac{6}{x-1} -\frac{10}{(x+1)(x-1)}\\=\frac{5(x-1)+6(x+1)-10}{(x+1)(x-1)}\\=\frac{5x-5+6x+6-10}{(x+1)(x-1)}\\=\frac{5x+6x-5+6-10}{(x+1)(x-1)}\\=\frac{11x-9}{(x+1)(x-1)}\\=\frac{11x-9}{x^2-1}$

Hence,

Option B: $\frac{11x-9}{x^2-1}$ is the correct answer

Keywords: Fractions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

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2 years ago

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A parabolic archway is 12 meters high at the vertex. at a height of 10 meters, the width of the archway is 8 meters. how wide is

Virty [35]

To solve this problem you must apply the proccedure shown below:

1. You have that the parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter.

2. Therefore, you have:

x^2=-4a(y^2-k)
4^2=-4a(10-12)
16=-40a+48
16=8a
a=16/8
a=2

y=0
x^2=-8(0-12)
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3 years ago

Find the solution set of the following equations: 2y=2x+7 X=y+2

kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

$\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}$

Multiply -y+x=2 by 2: -2y+2x=4

$\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}$

so adding

$-2y+2x=4$

$+$

$\underline{2y-2x=7}$

$0=11$

so the system of equations becomes

$\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}$

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

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2 years ago

Area of triangle where A=50, b=31, c=18

Mrac [35]

Use Heron's Formula:
s means semi-perimeter = (50 + 31 + 18) / 2 = 99 / 2 =
49.5
area = sq root [(s * (s-a) * (s-b) * (s-c)]
area = sq root [(49.5 * (s-a) * (s-b) * (s-c)]

This will NOT form a triangle. The longest side (50) is greater than the sum of the other 2 sides.

Source:
http://www.1728.org/trianinq.htm

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3 years ago

PLEASE HELP ASAP

VARVARA [1.3K]

Answer:

okok so the anwser is 1+1

Step-by-step explanation:

1 and add another is 2

boom.

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2 years ago