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Bingel [31]
3 years ago
5

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.

Mathematics
2 answers:
ankoles [38]3 years ago
4 0

Answer:

Step-by-step explanation:

To prove: The sum of a rational number and an irrational number is an irrational number.

Proof: Assume that a + b = x and that x is rational.

Then b = x – a = x + (–a).

Now, x + (–a) is rational because addition of  two rational numbers is rational (Additivity property).

However, it was stated that b is an irrational number. This is a contradiction.

Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.

Hence,  the sum of a rational number and an irrational number is irrational.

Goryan [66]3 years ago
4 0

Answer:

I believe the answer is B

Step-by-step explanation:

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6 0
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Read 2 more answers
= 1/2 (u+v)t
RoseWind [281]

The distance travelled by an object is 50 m.

<h3>What is Distance?</h3>

The distance between two points is the length of the path connecting them.

Here, given equation of distance

         S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

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Thus, the distance travelled by an object is 50 m.

Learn more about Distance from:

brainly.com/question/15172156

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2 years ago
Plz help me!!!!!!!! Which expressions are equivalent? <br> A.<br> B.<br> C.<br> D.
likoan [24]

Answer:

Option A

Step-by-step explanation:

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6 0
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