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Andru [333]
3 years ago
12

(a³-64)÷(a-4) dividing polynomials​

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

\textbf{$a^2 + 4a + 16$}\\

Step-by-step explanation:

\textup{Given:}\\$$ \frac{a^3 - 64}{a - 4} $$\\\textup{This can be written as:}\\$ (a - 4)(a^2 + 4a + 16) $ \hspace{25mm} $[ (a^3 - b^3) = (a - b)(a^2 + ab + b^2)]$\\

\textup{Here $b = 4$}\\\textup{Now, it can be written as}\\$$ \frac{(a - 4)(a^2 + 4a + 16)}{a - 4} $$\\\textup{which renders us}\\

$$a^2 + 4a + 16$$

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20 POINTS
sergey [27]

Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute 5 to all terms within the parenthesis

5(w - 1) = (5)(w) + (5)(-1) = 5w - 5

Next, simplify. Combine like terms

5w - 5 - 2 = 5w + 7

5w - 7 = 5w + 7

Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides

5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)

5w - 5w = 7 + 7

0 = 14 (Untrue).

0 solutions, or (A) is your answer

~<em>Rise Above the Ordinary</em>

5 0
3 years ago
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2 math questions below!!!!
Radda [10]
Perimeter is 10 units while the area is 8 units I believe but that’s just by counting the boxes
3 0
3 years ago
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a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid
Stels [109]
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\&#10;A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad &#10;\begin{cases}&#10;n=\textit{number of sides}\\&#10;s=\textit{length of a side}\\&#10;\frac{180}{n}=\textit{angle in degrees}\\&#10;----------\\&#10;n=6\\&#10;s=4&#10;\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

8 0
3 years ago
About what fraction of the total number of endangered species are found only in foreign countries?
suter [353]
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5 0
3 years ago
Sonya planted a flower garden of tulips, daisies and lilies. She planted 2 times as many tulips as daises and 3 tomes as many da
RideAnS [48]

70 flowers were planted in all.

Step-by-step explanation:

Let,

Tulips = t

Daises = d

Lilies = l

Total tulips planted = 42

She planted 2 times as many tulips as daises.

t=2d

Putting t=42

42=2d\\2d=42

Dividing both sides by 2

\frac{2d}{2}=\frac{42}{2}\\d=21

And 3 times as many daisies as lilies.

d=3l

Putting d=21

21=3l\\3l=21

Dividing both sides by 3

\frac{3l}{3}=\frac{21}{3}\\l=7

Total flowers planted = Tulips + Daisies + Lilies

Total flowers planted = 42 + 21 + 7 = 70

70 flowers were planted in all.

Keywords: division, addition

Learn more about addition at:

  • brainly.com/question/1349456
  • brainly.com/question/1357167

#LearnwithBrainly

3 0
3 years ago
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