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In-s [12.5K]
2 years ago
5

Is -√127 rational or irrational?

Mathematics
1 answer:
Sever21 [200]2 years ago
8 0

Answer:

Irrational

Step-by-step explanation:

A rational number can be expressed as a ratio of two integers , p and q of the form \[\frac{p}{q}\]

So following are examples of rational numbers:

  • \[\frac{1}{2}\] is a rational number
  • \[\frac{3}{4}\] is a rational number
  • 2 is a rational number as it can be expressed as \[\frac{2}{1}\]

On the other hand , any number which cannot be expressed in this form is called an irrational number. For example:

  • \[\sqrt{2}\]
  • \[\sqrt{3}\]
  • \[-\sqrt{127}\]
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In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

\frac{6x-5y}{2}=x+1

Cross multiply both sides of the equation.

6x-5y=2(x+1)6x-5y=2x+2

Subtract 6x on both sides of the equation.

6x-5y-6x=2x+2-6x-5y=-4x+2

Divide both sides of the equation by -5.

-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}y=\frac{4}{5}x-\frac{2}{5}

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

-4y-x=4x+5

Add x on both sides of the equation.

-4y-x+x=4x+5+x-4y=5x+5

Divide both sides of the equation by -4.

\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}y=-\frac{5}{4}x-\frac{5}{4}

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

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How does supply and demand affect consumers?
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3 years ago
a purse contains 25p coins and 50 p coins. the total amount in the purse is rs.25. if the number of 50 p coins is double the num
erica [24]
Let the total no. of 25 p coins be x
50p coins = 2x 

Value of 25 p coins ( in rupees) = 0.25*x =0.25x
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0.25x+x = 25
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no. if 25p coins = 20
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3 years ago
Systems of equations, solve by substitution please!<br> x + 7y = -37<br> 4x - 3y = 7
Svetradugi [14.3K]
Answer:

1. x = -37 - 7y

2. x = 7+3y/4


​​
5 0
2 years ago
Read 2 more answers
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