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4 years ago

Please help.... Find the base area and volume of the prism..

Mathematics

1 answer:

prohojiy [21]4 years ago

7 0

Answer:

Step-by-step explanation:

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X/x-2 + x-1/x+1= -1<br> Can someone walk me through the steps of this problem? Much appreciated. :)

stealth61 [152]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

$\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1$

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

$\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1$

Add the numerators and keep the denominator so that there is now one fraction:

$\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1$

Simplify the numerator by expanding the brackets:

$\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1$

$\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1$

Simplify the denominator by expanding the brackets:

$\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1$

Multiply both sides by the denominator of the left side:

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

Simplify and move everything to the left side:

$\implies 2x^2-2x+2=-x^2+x+2$

$\implies 3x^2-3x=0$

Factor:

$\implies 3x(x-1)=0$

Therefore:

$\implies 3x=0 \implies x=0$

$\implies x-1=0 \implies x=1$

Therefore, x = 0 or x = 1

8 0

2 years ago

Read 2 more answers

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

enyata [817]

A = w × l
A = (2x - 4) (x + 5)
Next Step Foil
2x² + 10x - 4x -20
2x² + 6x - 20

3 0

3 years ago

Read 2 more answers

A country's population in 1992 was 72 million in 1998 it was 76 million what will the population be in 2012

Lynna [10]

The population will be of 92 million

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4 years ago

A process has an output per day of 7,040 units. the inputs to produce this are labor $1000, materials $520; and overhead $2000.

vagabundo [1.1K]

The multifactor productivity can be calculated using the the units produced and the total costs.
Units = 7040
Total costs = 1000 + 520 + 2000
Total costs = $3,520

Multifactor productivity = 7,040 / 3,520
Multifactor productivity = 2 units per dollar

5 0

3 years ago

Use place value to find 12x40

lara [203]

12×40 is 480 that the answer

5 0

3 years ago