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Lorico [155]
2 years ago
5

What are rational numbers?

Mathematics
2 answers:
Goryan [66]2 years ago
7 0

<u>Answer:</u> The numbers which can be expressed as a ratio of two integers where the  denominator is not equal to zero

<u>Step-by-step explanation:</u>

Rational numbers are expressed in the form of \frac{p}{q} where q\neq 0. 'q' is the denominator in the above fraction.

The fractional form which is terminating or non-terminating recurring are considered as rational numbers.

The numbers 'p' and 'q' are the integers.

Integers are defined as number which is a proper number and not a fraction or decimal. All negative whole numbers are considered as integers.

<u>Some Examples of Rational numbers:</u>  \frac{5}{10} is a terminating fraction. \frac{2}{3} is a non-terminating recurring fraction

Hence, the numbers which can be expressed as a ratio of two integers where the  denominator is not equal to zero

zvonat [6]2 years ago
5 0

Answer:

I'm not 100% sure, but I think it's 3

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List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
vlada-n [284]

Answer:

20

Step-by-step explanation:

If you take (2x+5) (2x+5) = 0

then 4x^2 + 20x +25 = 0

5 0
3 years ago
I need a little bit of help here ☹️
Grace [21]
-3(y+2)^2 - 5 + 6y
= -3(y^2 + 4y + 4) - 5 + 6y
= -3y^2 - 12y - 12 - 5 + 6y
= -y^2 - 6y - 17

Answer
(-1) y^2 + (-6) y + (-17)
3 0
3 years ago
What is the simplified version of 3\sqrt{135}
Aleonysh [2.5K]

Answer:

The simplified version of \sqrt[3]{135} is 3\sqrt[3]{5}.

Step-by-step explanation:

The given expression is

\sqrt[3]{135}

According to the property of radical expression.

\sqrt[n]{x}=(x)^{\frac{1}{n}}

Using this property we get

\sqrt[3]{135}=(135)^{\frac{1}{3}}

\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}

\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}

\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}      [\because (ab)^x=a^xb^x]

\sqrt[3]{135}=3\times \sqrt[3]{5}     [\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]

\sqrt[3]{135}=3\sqrt[3]{5}

Therefore the simplified version of \sqrt[3]{135} is 3\sqrt[3]{5}.

7 0
3 years ago
Read 2 more answers
I need help with these two questions!! I got 72° for Question 7, I don't know I need help with both of them!! PLEASE HELP!! :)
Nat2105 [25]

Answer:

7. 49

8. 10.4

Step-by-step explanation:

7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin

sin = opposite/hypotenuse

sin(x) = 6/8 = 3/4

sin-1(3/4) = 49

8) using the theorem that alternate exterior angles are congruent

the angle opposite side x is 30

tan = opposite/adjacent

tan(30) = x/18

x = 18tan(30) = 6√(3) = 10.4

you can also use 30-60-90 special right triangles.

the side opposite 30 is x

side opposite 60 is x√(3)

and side opposite 90 is 2x

3 0
3 years ago
How to write five and nine tenths in standard from
Trava [24]
5 9/10 .........................................
3 0
2 years ago
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