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3 years ago

Find the quotient and reduce to lowest terms: ((x²-4)/(3x)) ÷ ((x-2)/(2x)).

Mathematics

1 answer:

DENIUS [597]3 years ago

3 0

Answer: 2/3 * (× + 2 )

Step-by-step explanation:

((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ×² - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]

Simplifying by x [ 2 * ( ×² - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }

Simplifying by ( ×+2) 2/3 * (× + 2 )

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tatiyna

Answer:

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Step-by-step explanation:

With negative the higher the number the lower the value

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3 years ago

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viva [34]

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Step-by-step explanation:

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3 years ago

If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?

Scrat [10]

Answer: the correct option is

(D) The imaginary part is zero.

Step-by-step explanation: Given that neither a nor b are equal to zero.

We are to select the correct statement that accurately describes the following product :

$P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following formula :

$(x+y)(x-y)=x^2-y^2.$

From product (i), we get

$P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.$

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

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2 years ago

Q: Simplify. <br><br>1. 3^(n+1) - 3^n / 3^(n-1)

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Answer:

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2 years ago

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Answer:

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Step-by-step explanation:

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