1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
9

The sum of rational number and an irrational number

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Step-by-step explanation:

However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

You might be interested in
C/ 8= 9. What does c equal
Norma-Jean [14]

Answer: 72

72/8 will get you 9. To see if the answer is correct Multiply 9*8.

7 0
3 years ago
Read 2 more answers
HELP ASAP!!! WILL GIVE BRAINLIEST! Given that RS=20 and QR=5, identify the length of PS¯¯¯¯¯.
cestrela7 [59]

Answer:

PS = 10 \sqrt{5}

Step-by-step explanation:

8 0
2 years ago
PLEASE HURRY AND ANSWER THIS!
Shalnov [3]

Answer:

Translate the circles so they share a common center

point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

^^^

3 0
3 years ago
Multiply.
Kamila [148]
Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
 | | | | x | - | 6
 | | 3 x^2 | + | 10 x | - | 1
 | | | | -x | + | 6
 | | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer:  3 x^3 - 8 x^2 - 61 x + 6 Thus B:
7 0
3 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
Other questions:
  • The answer to this question
    13·1 answer
  • In woodshop class, you must cut several pieces of wood to within 3/16 inch of the teacher's specifications. Let (s-x) represent
    6·1 answer
  • Find the value of z.
    5·1 answer
  • PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!
    13·1 answer
  • How do you graph 4x + 2y = 3
    6·2 answers
  • The question is on the jpg link.
    6·1 answer
  • Previously, an organization reported that teenagers spent 24.5 hours per week, on average, on the phone. The organization thinks
    13·1 answer
  • The angle measures of an isosceles triangle are shown. Find the value of w.
    15·1 answer
  • Mrs. Holt writes the expression 6/4 + 5/8 . She ask her students to simplify the expression and write the answer as a percentage
    11·2 answers
  • 3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!