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Simora [160]
3 years ago
12

What is the difference of the rational expressions below? 2/x-2 - 3/x

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Answer: \frac{6-x}{x^{2}-2x}

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators. This is:

LCM=x(x-2)

Divide the LCM by each denominator and multiply the result by each numerator, then you obtain:

\frac{2x-3(x-2)}{x(x-2)}

Apply the distributive property, then you obtain:

\frac{2x-3x+6}{x^{2}-2x}

Add like terms, then you obtain:

\frac{6-x}{x^{2}-2x}

lakkis [162]3 years ago
5 0

<u>Answer:</u>

The correct answer is \frac { 6 - x } { x^2 - 2x }.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it by finding the difference of these two rational terms:

\frac {2} { x - 2 } - \frac { 3 } { x }

Taking their LCM to get:

\frac { 2x - 3 ( x - 2 )} { x ( x - 2 )}

\frac { 2x - 3x + 6 } { x^2 - 2x }

\frac { -x + 6 } { x^2 - 2x }

\frac { 6 - x } { x^2 - 2x }

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PolarNik [594]
The arrangement forms an isosceles triangle with equal legs of 8 mi. The angle between the legs is,

123-63 = 60°. Therefore, the other two angles ares:

Angles = (180-60)/2 = 120/2 = 60°

It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal.

It can be concluded that the ships are 8 miles apart.
8 0
3 years ago
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Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?
Vladimir79 [104]

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

6 0
3 years ago
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Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B
nekit [7.7K]

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the​ test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the​ test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the​ test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

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3 0
2 years ago
Please help me with this as soon as you can
saw5 [17]

9514 1404 393

Answer:

  14.14

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

  AC = AB×√2

  AC = 10√2 ≈ 14.14

_____

The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...

  d² = s² + s²

  d² = 2s²

  d = (√2)(√s²) = s√2

This relation holds for <em>any isosceles right triangle</em>, not just for the diagonal of this square. It is useful to remember.

6 0
3 years ago
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bearhunter [10]

Answer:

whole

Step-by-step explanation:

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