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ss7ja [257]
3 years ago
8

Law of radicals

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

1)  \sqrt{x^7}=x^{\frac{7}{2}

2)  \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}=z^\frac{9}{4}

Step-by-step explanation:

1) \sqrt{x^7}

We know that \sqrt{x}=x^{\frac{1}{2}

So, \sqrt{x^7}=x^{\frac{7}{2}

2) \sqrt[3]{y^5}

We know that \sqrt[3]{x}=x^{\frac{1}{3}

So, \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}

We know that \sqrt[5]{x}=x^{\frac{1}{5}

So, \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}

We know that \sqrt[4]{x}=x^{\frac{1}{4}

So, \sqrt[4]{z^{9}}=z^\frac{9}{4}

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Subtract the following polynomials, then place the answer in the proper location on the grid.
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Answer:

3x^{2}-5x+12-(5x^{2}+x-11)=-2x^{2}-6x+23

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3 years ago
What is 5/7-(-1/7) as a fraction?
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\frac{5}{7}  -  \frac{1}{7}
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In terms of rigid transformations (reflections, rotations, and translations), what does this difference represent?
makvit [3.9K]

Solution:

There are four kinds of rigid transformations.

1. Reflection

2. Rotation

3. Translation

4. Dilation

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2.   Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.

3.  While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.

In all three,either in  reflection, rotation,or  translation  there is no change in shape and size, the two that is  image and Preimage are congruent.

4 0
3 years ago
The product of some negative number and 5 less than three times that number is 12. Find the number.
miv72 [106K]
(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!
4 0
3 years ago
Can someone please help?!!!
Nuetrik [128]

The perimeter of a rectangle is P=2l+2w where l is the length and w is the width.

Plug in values of l and w in:

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P=4x+14

So the perimeter of the rectangle is 4x+14 units

Hope this helped!

3 0
3 years ago
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