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AveGali [126]
3 years ago
13

3/4 is considered a real and rational number

Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

3/4 is a rational number and also a real number

Step-by-step explanation:

<u>to prove 3/4 is real</u>

3/4 is a fraction. It is a proper fraction since denominator  is grater than numerator.

3/4 can be written as 0.75 which is terminating decimal.

Therefore 3/4 is a real number

<u>To prove 3/4 is a rational number</u>

3/4 is the form of p/q.

Therefore 3/4 is a rational number.


juin [17]3 years ago
5 0

Answer:

It is a rational number and real number

Explanation:

it is a real number because it can become .75 and that is a real number.

it is a rational number because assume that 3/4 is a rational number. Since every rational number can be expressed as a/b form which do not have any common factor so we can say that a/b = 3/4 Squaring both side we get: a2/b2 = 9/16 a2 = (9/16) b2 Or we can say b2 = a2(16/9) a2 is divided by 9. So we can say that a is divided by 9. It implies that there exist some number c such that a/9 = c a = 9c By squaring both side we get a2 = 81 c2 Put the value of a2 from the equation a2 = (9/16) b2 we get: (9/16)b2 = 81c2 this tends to b2/ 9 = 16 c2 It implies that b2 is divided by 9. So we can say that b is divided by 9. This implies that a and b have a common factor 9. Since a and b have common factor therefore 3/4 is not a irrational number. Hence 3/4 is a rational number.

Good luck

Please mark me brainliest

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Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola
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The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

   if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

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