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balandron [24]
4 years ago
10

Find two irrational numbers x and y so that their average is rational.

Mathematics
1 answer:
kari74 [83]4 years ago
5 0

Answer:

In discipline such as mathematics, irrational numbers are referred to as or known as the real numbers that are not rational, i.e. the no. that are being constructed from the ratio of integers.

Therefore, let us assume

x = \sqrt{2} \\y = -\sqrt{2}

Now, rational number is referred to as or known as a no. which can be described as a fraction p/q or quotient of the two integers, i.e. a numerator and a denominator.

Now , lets take the average of the two irrational no.

We get;

\frac{x + y}{2} = \frac{\sqrt{2} + (-\sqrt{2})}{2}

\frac{x + y}{2} = \frac{0}{2} = 0

Hence, proved.

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riadik2000 [5.3K]
The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m.  The measure of the central angle is 80°.  This means that the sector is 80/360 = 2/9 of the circle.  The area of a circle is given by A=πr², so the area of the sector is A=2/9πr².  To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r² 
9 = r

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4 years ago
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Step-by-step explanation:

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cupoosta [38]
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Divide 52 by 4 which gives you 13. 13 x 4 = 52
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Two students were given the expression shown to simplify.
navik [9.2K]
<h3>The equivalent expression is 6 + 6x</h3>

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

9 - (3 - 6x)

We have to find the equivalent expression

Use the distributive property,

a(b + c) = ab + bc

Therefore, from given expression,

9 - 1(3 - 6x) = 9 - 3 + 6x

Combine the constants, 9 - 3 = 6

9 - 1(3 - 6x) = 6 + 6x

Thus the equivalent expression is 6 + 6x

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gulaghasi [49]

Answer:

The answer is 144

Step-by-step explanation:

\frac{ {2}^{5}  \times  {5}^{2}  \times   { - 6}^{4} }{  {2}^{3}  \times  {5}^{2} \times  { - 6}^{2}  }

{2}^{2}  \times  {6}^{2}  =  \\ 4 \times 36 = 144

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