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3 years ago

Is 0.44 rational or irrational

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

8 0

0.44 rational

/0.4 irrational

/0.44 irrational

Scorpion4ik [409]3 years ago

4 0

Answer:

2. sqrt(1/16) is 1/4, sqrt(1/4) is 1/2. The others are irrational: sqrt(1/10), sqrt(1/8), sqrt(1/2)

0.44 is rational

sqrt(0.4) is irrational

sqrt(0.44) is irrational

0.01*pi is irrational

100*pi is irrational

sqrt(100) = 10, rational

sqrt(1/100) = 1/10, rational

7*sqrt(10/49) is irrational

0.5 is rational

4*pi is irrational

3.14 is ratio2. sqrt(1/16) is 1/4, sqrt(1/4) is 1/2. The others are irrational: sqrt(1/10), sqrt(1/8), sqrt(1/2)

0.44 is rational

sqrt(0.4) is irrational

sqrt(0.44) is irrational

0.01*pi is irrational

100*pi is irrational

sqrt(100) = 10, rational

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Paraphin [41]

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A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

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