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Ratling [72]
2 years ago
11

Simplify the problem thank you

Mathematics
2 answers:
never [62]2 years ago
8 0

Answer:

-5

Step-by-step explanation:

(-5)(-5)(-5)=-125

NikAS [45]2 years ago
5 0

Given the expression:

\displaystyle \large{ \sqrt[3]{ - 125} }

Definition:

\displaystyle \large{ y  = \begin{cases}   \pm \sqrt[n]{x}  \longrightarrow n  = (2,4,6,8,...)  \:  \: (x \geqslant 0) \\   \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \:  \: (x \in \R) \end{cases}}

First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.

\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }

Because if (-5)^2 = 25 then 25×(-5) again will be -125.

Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,

\displaystyle \large \boxed{ - 5}

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A store has 80 modems in its inventory, 30 coming from source a and the remainder from source
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What 3-dimensional figure can be created by folding the shape shown below on the dotted lines?
oksano4ka [1.4K]

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A triangle

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2 years ago
The slope of the line below is 2. Which of the following is the the point-slope form of the line?
Jobisdone [24]

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5 0
3 years ago
Write the equation of a line perpendicular to 9xplus7yequals6 that passes through the point ​(9​,negative 7​).
andrew11 [14]

k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1

We have:

k:\ 9x+7y=6\ \ \ |-9x\\\\7y=-9x+6\ \ \ \ |:7\\\\y=-\dfrac{9}{7}x+\dfrac{6}{9}\to m_1=-\dfrac{9}{7}\\\\l:\ y=m_2x+b\\\\l\ \perp\ k\iff-\dfrac{9}{7}m_2=-1\ \ \ \ |\cdot\left(-\dfrac{7}{9}\right)\\\\m_2=\dfrac{7}{9}\to\ l:\ y=\dfrac{7}{9}x+b

We know. The line <em>l</em> passes throught the point (9, -7). Substitute the coordinates of the poin to the equation of line<em> l </em>:

-7=\dfrac{7}{9}\cdot9+b\\\\-7=7+b\ \ \ \ |-7\\\\b=-14

y=\dfrac{7}{9}x-14\ \ \ \ |\cdot9\\\\9y=7x-126\ \ \ \ |-9y\ |+126\\\\7x-9y=126

Answer: y=\dfrac{7}{9}x-14\to7x-9y=126


7 0
3 years ago
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