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raketka [301]
3 years ago
15

If a and b are two distinct rational numbers, then which of the following statements is true?

Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Answer:

Both are rational.

Step-by-step explanation:

As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.

And we know the product of two integers is an integer

p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.

Thus a+b and a-b is rational.

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How do you work this out?
Katarina [22]
Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE.  If we can do that, then the sum of the lengths of CD and DE represents the unknown:  the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1.  Show that BC=AD and find the length.
2.  Note that angle CAD is 60 degrees.  Why?
3.  Note that angle EAD is 30 degrees.  Why?
4.  Find the length of ED
5.  Add ED and DC, that is, ED + 12 cm.  This is your answer.

Please ask questions if need be.
5 0
3 years ago
What are all the digits of pi​
Anarel [89]
That’s a lot of numbers lolll 3.14159265358979323846264338327950288419716939937510.... it goes on
4 0
3 years ago
Does (2,0) work as a solution to the systems of equations to lines 3x+y=6 and 3x-y=6
fenix001 [56]

Answer:

Yes

Step-by-step explanation:

To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.

3x + y = 6:

  • 3(2) + 0 = 6
  • 6 + 0 = 6
  • 6 = 6
  • (2,0) is a solution to this equation.

3x - y = 6:

  • 3(2) - 0 = 6
  • 6 - 0 = 6
  • 6 = 6
  • (2,0) is a solution to this equation.

Therefore, the answer is yes, it does work as a solution.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
3 years ago
Given that<br>X2: (20 – 3x) = 1 : 2<br>find the possible values of x.​
hammer [34]

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

6 0
3 years ago
Y=-4x-10 for all prime numbers less than 15. What is the domain and range for this?
Bad White [126]
The\ prime\ numbers\ less\ than\ 15\ is\ domain:\\\\D=\{2;\ 3;\ 5;\ 7;\ 11;\ 13\}\\\\Range:\\\\f(2)=-4(2)-10=-18\\f(3)=-4(3)-10=-22\\f(5)=-4(5)-10=-30\\f(7)=-4(7)-10=-38\\f(11)=-4(11)-10=-54\\f(13)=-4(13)-10=-62\\\\Range:\{-18;-22;-30;-38;-54;-62\}
4 0
3 years ago
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