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atroni [7]
3 years ago
15

is the following example true or false? if false give a counterexample. The sum of two rational numbers is always rational the s

um of two irrational numbers is always irrational
Mathematics
2 answers:
Lina20 [59]3 years ago
7 0

Answer:

two irrational numbers is always irrational

Step-by-step explanation:

zepelin [54]3 years ago
3 0

Answer:

Both are TRUE.

Step-by-step explanation:

The sum of 2 rational numbers is always rational.

The sum of 2 irrational numbers is always irrational.

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Compare the decimals 18.10 and 18.1
Arte-miy333 [17]
Both are equal since 18.1 we can add to the right zero
then 18.10=18.1
4 0
3 years ago
Read 2 more answers
Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

      = (x + 4)(x - 6 - i)(x - 6 + i)

      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

3 0
3 years ago
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Lady bird [3.3K]

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

5 0
3 years ago
Help me pleaseeeeeeeeee
crimeas [40]

Answer:

x=10 and x=-9

Step-by-step explanation:

Factor:

(x-10)(x+9)=0

x-10=0

x=10

and

x+9=0

x=-9

3 0
2 years ago
Ted bought a fishing pole for $35.99, and a pair of shorts for 14.99. He had a coupon for 25% off the shorts only. What was the
NeX [460]

Answer: I think it is 47.23


Step-by-step explanation: Because 25% of 14.99 = 11.2425 But 35.99+11.2425 dose not seem right so I pretty sure it would be 35.99+11.24= 47.23

-Alissa

Hopefully this is right.... sorry if it is wrong


4 0
3 years ago
Read 2 more answers
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