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4 years ago

Which set includes rational numbers but not natural numbers?

Mathematics

2 answers:

Inga [223]4 years ago

7 0

{n/m, n,m ∈ Z: n neq m}

xxTIMURxx [149]4 years ago

5 0

Answer:

that is not right

Step-by-step explanation:

first it got to be numbers secondly it got to be number elstuipo

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Find the measure of angle 2

WINSTONCH [101]

Answer is in the screenshot.

5 0

3 years ago

Which is equivalent to V180x11 after it has been simplified completely?

inna [77]

Question:

Which is equivalent to $\sqrt{180x^{11}}$ after it has been simplified completely?

Answer:

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

Step-by-step explanation:

Given

$\sqrt{180x^{11}}$

Required

Simplify

We start by splitting the square root

$\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}$

Replace 180 with 36 * 5

$\sqrt{180x^{11}} = \sqrt{36 * 5} * \sqrt{x^{11}}$

Further split the square roots

$\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} * \sqrt{x^{11}}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{11}}$

Replace power of x; 11 with 10 + 1

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10 + 1}}$

From laws of indices; $a^{m+n} = a^m * a^n$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x^1}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x}$

Further split the square roots

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10}} * \sqrt{x}$

From laws of indices; $\sqrt{a} = a^{\frac{1}{2}}$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{10*\frac{1}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{\frac{10}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{5} * \sqrt{x}$

Rearrange Expression

$\sqrt{180x^{11}} = 6 * x^{5} * \sqrt{5} * \sqrt{x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}$

From laws of indices; $\sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}$

So, we have

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}$

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

<em>The expression can no longer be simplified</em>

Hence, $\sqrt{180x^{11}}$ is equivalent to $6x^{5}\sqrt{5x}$

7 0

3 years ago

Read 2 more answers

[2 x 2(2 + 1)^2= please help

aleksandrvk [35]

Answer:

36x

Step-by-step explanation:

PEMDAS RULE

3 0

3 years ago

Pratctice and Solving Solve each equation with variables on both sides 1. 6x - 2 = x + 13

IrinaK [193]

Answer:

x=3

Step-by-step explanation:

6x - 2 = x + 13

subtract 1x from both sides

5x - 2 = 13

isolate the 5x by adding 2 to both sides

5x = 15

finnaly devide both by 5

x = 3

8 0

3 years ago

Read 2 more answers

What is the value of x in the equation 2.5(6x-4) = 10+4(1.5+0.5x)?

Phoenix [80]

Answer:

Step-by-step explanation:

As the equation is given in the question as follows.

2.5(6x-4)=10+4(1.5+0.5x)

open the bracket

2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x

15x - 10 = 10 + 6 + 2x

15x - 2x = 16 + 10

13x = 26

x = 2

6 0

3 years ago