Which of the following is the correct factorization of the polynomial below?

x^3 - 12

A. (x + 3)(x - 4)

B. (x - 3)(x + 4)

C. (x + 3)(x^2 - 4x + 4)

D. The polynomial is irreducible.

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Explanation:

Along the top row, label the two triangles A and B.

In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.

To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.

Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.

The rectangle D has an area of base*height = 4*5 = 20 square inches.

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We have these areas:

To wrap things up, add up those areas

A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches

Answer:

60 degrees and 119 degrees

if the smaller angle is x, then

x + 2x - 3 = 180

3x -3 + 3 = 180 + 3

3x/3 = 183/3

x=61

2(61) - 3 = 119

the diameter of the mitochondrion= 0.00000031 meter.

the diameter of the chloroplast.

3×mito= chloroplast

3 × 0.00000031

=0.00000091

= chloroplast

= 9.1 × 10^-7m

the imprecise diameter of the chloroplast is 9.1 × 10^-7m.

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation:

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

Ahhh yes, the time-honored permutations.

The permutation format, to start with, is P(n, r).

The formula is:

In this instance, we have P(8, 3).

8 will go in for n and 3 for r. So now let's solve.

[tex]\frac{8!}{(8 - 3)!}[/tex]    →   [tex]\frac{8!}{5!}[/tex]   →   [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex]  →   [tex]8*7*6[/tex]  →  [tex]336[/tex]

Therefore 336 is our answer. I hope this answers your question.

-Toremi

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

Answer:

M=33/8

Step-by-step explanation:

Answer:

M+4 7/8 =9

Step-by-step explanation:

Step-by-step explanation:

Answer: its d

Step-by-step explanation:

Answer:

Im 98% sure its the first one

Step-by-step explanation:

Answer:

input:   1    2   6   18

output:   5   10   30  90

Step-by-step explanation:

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

Answer:

C. (5 , 6)

Step-by-step explanation:

a dilation of center O(0,0) and 3 as a scale factor :

Transform point (x , y) to point (3x , 3y)

Then it transforms R(1 , 2) to R’(3 , 6)

Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)

So , R’(3 , 6) ————> R’’(3+2 , 6)

Answer:

A=wl=3·10=30

A=30

Step-by-step explanation:

Answer:

They are equal

Make them into mixed numbers

10/4 = 2 2/4 you can put this into its simplest form so 2 1/2

5/2 = 2 1/2

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

Check the picture below.

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].

A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:

[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex]   (1)

Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.

If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:

[tex]\det (\vec A) = -2[/tex]

[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]

To learn more on matrices, we kindly invite to check this verified question: https://brainly.com/question/11367104

Answer:

x=5

Step-by-step explanation:

12^2+x^2=13^2

144+x^2=169

x^2=169-144

x^2=25

x=5

Answer:

5in

Step-by-step explanation:

Sides known=12,13

According to Pythagoras theorem

H²=P²+B²

(13)²=(12)²+(x)²

169=144+x²

169-144=x²

25=x²

x=√25

x=5in

PLS MARK IT AS BRAINLIEST

Answer:

Area=length×width

11.4×11.4=129.96

so the area is 129.96

Hope this helps!

length= 11.4 in

the area of the given figure.

[tex]a = l \times l \: or \: l {}^{2} [/tex]

[tex]a = {11.4}^{2} [/tex]

[tex]a = 129.96 \: {in}^{2} [/tex]

therefore, the area of the square is 129.96 square inches.

Answer:

it is very high because

Step-by-step explanation:

5-2+3 so maybe it a subtraction problem hope this works

Given :

⠀

To Find :

⠀

Solution :

⠀

Now,

⠀

According to the Question :

⠀

[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]

⠀

Therefore,

⠀

Hence,

Answer:

The measurement of each angle is 58.4° and 31.6°

Step-by-step explanation:

Given :-

To Find :-

Solution:-

let one angle be x and other be x - 26.8°

we know that, Sum of complementary angle is 90°

X + X - 26.8° = 90°

2x = 90° + 26.8°

x = 58.4

So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6

Answer:

Step-by-step explanation:

Each of the transformations can be written in terms of what they do to the coordinates:

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down

__

Together, these transformations result in the composite transformation ...

  (x, y) ⇒ (-y -7, x -8)

The end values of the original points are then ...

  M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)

  N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)

  O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)

_____

Additional comment

You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)

Alternatively, you can turn your head sideways when you look at the computer screen.

In the attachment, the black arrow represents the translation vector, 7 left and 8 down.

The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.

A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.

Note: This question is incomplete because the image is missing. Here is the image:

Learn morea bout mathematical function in: https://brainly.com/question/18430152

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96