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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:

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Step-by-step explanation:

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2 years ago
Find the circumference of a circle with a diameter of 15 inches... Round to the nearest tenth and include units in your answer..
rosijanka [135]

Answer:

<em>47. 1 inches ; where inches ⇒ units</em>

Step-by-step explanation:

Consider the Circumference as such;

Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches

<em>From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units</em>

6 0
3 years ago
Read 2 more answers
I need help with this question please
nasty-shy [4]

Answer:

YES

Step-by-step explanation:

First, let's find the total number of seats int he airplane.

14 + 64 + 4 * 108 = 510

The airplane has a total or 510 seats.

Half of the number of seats is 510/2 = 255.

Now let's calculate the number of seats being used and compare with 255.

5/7 * 14 + 5/16 * 64 + 5/9 * 4 * 108 =

= 2 * 5 + 4 * 5 + 12 * 4 * 5

= 10 + 20 + 240

= 270

270 seats are being used.

270 is greater than 255, so more than half of the seats are being used.

Answer: YES

7 0
3 years ago
There are different ways to represent 2 2/3 Select the three choices below that represent 2 2/3.
AfilCa [17]

Answer:

2 6/9. 2 24/36

Step-by-step explanation:

7 0
3 years ago
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