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Hitman42 [59]
3 years ago
14

Find the LCD of the given rational equation: -3/x+2 + 5x/x-1 = x+2/x^2-3x+2

Mathematics
1 answer:
Natali [406]3 years ago
5 0
Answer:

(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

    3             5x            x + 2
- ------- +  -------- =  ---------------
 x + 2        x - 1       x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.



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The area of the base (six triangles with a base 15m and a height 7.5√3m):

A_B=6\cdot\dfrac{1}{2}\cdot15\cdot7.5\sqrt3\approx585\ m^2

The area of side walls (six triangles with a base 15m and a height 12m)

A_W=6\cdot\dfrac{1}{2}\cdot15\cdot12=540\ m^2

The surface area:

A_B+A_W=585+540=1,125\ m^2



8 0
3 years ago
Please answer! I got more coming soon. :))
astra-53 [7]

Answer:

28.3 square inches

Step-by-step explanation:

Use the area of a circle to determine its area:

A=\pi r^2\\\\A=\pi(3)^2\\\\A=9\pi\\\\A=9(3.14)\\\\A=28.26\\\\A\approx28.3

Therefore, the area of a circle with a radius of 3 inches is 28.3 square inches

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2 years ago
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In the triangles, and .
brilliants [131]
Longer than the triangles , but shorter triangles, are bigger than eachother but same same and no different shape .
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3 years ago
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Kim and Daniel are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of
ivanzaharov [21]

There are two equation:

1) From Kim

2) From Daniel


Let:

x be the cost of rolls of plain wrapping paper

y be the cost of rolls of shiny wrapping paper


Kim:

7x + 8y = 140

Daniel:

14x + 7y = 154


<u>Using elimination method:</u>

(7x + 8y = 140) * -2  (Multiplying the equation by -2)

-14x - 16y = -280


-14x  -16y = -280

14x + 7y = 154

------------------------------

0x - 9y = -126

9y = 126 (Negative sign cancels from both sides)

y = 126 /9

y = 14


The cost of each shiny wrapping paper is $14.


Now solve x, you pick any two equation to solve for x.

7x + 8y = 140

7x + 8(14) = 140 (You know from above y =14)

7x + 112 = 140

7x = 28

x = 28/7

x = 4


The cost of each plain wrapping paper is $4.


Solution: (4,14)

4 0
3 years ago
FIRST ANSWER GETS BRAINLIST!
choli [55]

Answer:

-2x64

Step-by-step explanation:

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