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
babymother [125]
3 years ago
13

Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw

ays a rational number, x+y EQ. (9.b) The sum of two irrational numbers x, y ER - Q is always an irrational number, x +y ER-Q. (9.c) The sum of the squares of two distinct real numbers x,y ER, with x #y, is always a positive real number, x2 + y2 ER and x2 + y2 > 0. (9.d) If a, b ER, then ab E R.
Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

You might be interested in
HELP ASAP QUESTION IN PIC WILL GIVE BRAINLIEST
tangare [24]

Answer:

x=17

Step-by-step explanation:

Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:

4x+8+104=180

First, combine like terms:

4x+(8+104)=180

4x+112=180

Next, subtract 112 from both sides:

4x+112(-112)=180(-112)

4x=68

Then, divide each side by 4:

4x(/4)=68(/4)

x=17

17 is your answer.

3 0
2 years ago
7b ÷ 12 = 4.2  what does b =
Luda [366]
7b/12=4.2
7b=50.4
b=7.2

hope this helps
3 0
3 years ago
Read 2 more answers
10^8/10^4 Simplify the expression. Write your answer as a power.
Andru [333]
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0
3 years ago
Find the measure of the exterior angle.
Illusion [34]

Answer:

<em> 108 degrees</em>

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

<em>Hence the measure of the exterior angle is 108 degrees</em>

5 0
3 years ago
C = 0.20m + 2.00 what is the charge for 1mile ride?
RUDIKE [14]
All you have to do is substitute the 1 into the m for the mile ride:
C = 0.20(1) + 2.00 = 0.20 + 2.00 = 2.20

The charge for 1 mile ride is $2.20.
5 0
3 years ago
Other questions:
  • Best Deal 2
    11·1 answer
  • Please answer as quickly as possible! 20 points!
    11·1 answer
  • How do you do the question of 50%of 50 in math like how would you solve it
    8·1 answer
  • There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f
    13·2 answers
  • A and b pls pls pls number 2 a and b
    9·2 answers
  • 2. Which type of wave can transmit
    5·2 answers
  • Which are the possible side lengths of a triangle?
    6·1 answer
  • A tower has a cone-shaped attic. The diameter of the attic is 18 ft and its height is 18 ft.
    13·1 answer
  • Hey!<br><br>I'm a student.<br><br>Can you help me solve this question?<br><br>Thanks!
    14·2 answers
  • Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =<br> Plz help
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!