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2 years ago

Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4

Mathematics

1 answer:

Alex17521 [72]2 years ago

7 0

Answer:

B) $-5n^4$

Step-by-step explanation:

We want to simplify $\sqrt[3]{-125n^{12}}$

$\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4$

The answer is $-5n^4$

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Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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2 years ago

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Step-by-step explanation:

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1 year ago

Which represents the polynomial written in standard form?

pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

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Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

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If we arrange the terms according to the degree of y, then

$-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4$

Hence, the correct option is A.

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2 years ago

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The coordinates of the points below represent the vertices of a rectangle.

andrey2020 [161]

Answer:

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Step-by-step explanation:

5+5=10

4+4=8

8+10=18 units

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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