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stich3 [128]
3 years ago
11

Which expression equals a number that is NOT a rational number?

Mathematics
2 answers:
NISA [10]3 years ago
8 0

Answer:

Last one

Step-by-step explanation:

pi is not a rational number.

3pi × 3³ ÷ 7

81pi/7

It is not rational since 81pi is not an integer

rewona [7]3 years ago
4 0
  • \frac{3\pi.3^3}{7}  is not included as a rational number !

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

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

  • \frac{3\pi . 3^3}{7\pi}  :

Let's evaluate this expression

⇒ \frac{3(\pi) ( 3^3)}{7(\pi)}

⇒ \frac{3^4}{7}

Therefore , It is a rational number ! .

  • \frac{-18}{5} :

Let's evaluate this expression

⇒ \frac{-18}{5}

Therefore , It is a rational number ! .

  • \frac{5}{3-7-9} :

Let's evaluate this expression

⇒ \frac{5}{3-16}

⇒ \frac{-5}{13}

Therefore , It is a rational number ! .

  • \frac{3\pi.3^3}{7} :

Let's evaluate this expression

⇒ \frac{3\pi.3^3}{7}

⇒ \frac{\pi.3^4}{7}

Therefore , It is not a rational number , as pi is included ! .

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On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.
slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

(x-8)^2 + (y - 9)^2 = r^2

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

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Answer:

12 and 15

Step-by-step explanation:

x + y = 27

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