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Inessa05 [86]
1 year ago
13

X-23 / x^2 -x- 20 - 2/5-x

Mathematics
1 answer:
alexira [117]1 year ago
7 0

By simplifying \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\] . This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

The Simplifying Algorithm is a wonderful way to simplify complex mathematics problems. It can be used to solve equations, convert fractions to decimals, and perform many other math operations. In this problem, the Simplifying Algorithm will help you reduce \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\]

Since two opposites add up to 0, remove them from the expression.

\[ - \frac{{23}}{{{x^2}}} - \frac{{102}}{5} - x\]

Write all numerators above the least common denominator 5x2

\[ - \frac{{115 + 102{x^2} + 5{x^3}}}{{5{x^2}}}\]

Use the commutative property to reorder the terms so that constants on the left

\[\frac{{ - 5{x^3} - 115 - 102{x^2}}}{{5{x^2}}}\]

Rearrange the terms

\[\frac{{ - 5{x^3} - 102{x^2} - 115}}{{5{x^2}}}\]

By reording the terms

\[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\]

Hence, by simplifying this equation, divide both numerator and denominator. This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

To learn more about simplifyication visit:

brainly.com/question/1542396

#SPJ1

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A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0
3 years ago
PLEASE HELP PLEASE PLEASE
liberstina [14]

<L = 1/2(130 - arc MK)

45 = 1/2(130 - arc MK)

90 = 130 - arc MK

arc MK = 130 - 90

arc MK = 40

Answer

arc MK = 40°


4 0
3 years ago
2) Two big bags of sugar plus one small bag of flour add up to a total of 12 kg.
alisha [4.7K]

Answer:

It's just a simultaneous equation

Step-by-step explanation:

Let a big bag of sugar = x

Let a small bag of flour = y

x+x+y = 12kg

2x+y = 12kg ... 1

x-y = 2kg ... 2

Add 1 and 2

2x+y = 12

+

<u> </u><u> </u><u>x</u><u> </u><u>-</u><u>y</u><u> </u><u>=</u><u> </u><u> </u><u>2</u>

3x = 14

x = 14/3 = <u>4.66</u>

Substitute value of x into 1

2(4.66)+y = 12

9.333 + y = 12

12 - 9.333= 12

y = <u>2</u><u>.</u><u>6</u><u>6</u>

Hope you understand it

And I hope my answer was of help to you.

3 0
3 years ago
Which number is not equivalent to 3 2/3?
jolli1 [7]

Answer:

b. 3 4/6 cant equal 3 2/3

Step-by-step explanation:


7 0
3 years ago
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jenyasd209 [6]
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