Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning

The equation of the line is y = 9x. The correct answer is C.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

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x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

Answer: AA

Step-by-step explanation:

You can do vertical angles or alternate interior angles. Hope this helps :)

Answer:

r = 20

Step-by-step explanation:

4r - 5 + 105 = 180

4r + 100 = 180

4r = 80

r = 20

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252

Answer:

184

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

Answer:

A

Step-by-step explanation:

Answer:

I think this would be,

ADE = 180- BCE

I am not sure if this is the right answer, and i am sorry if the answer is wrong, i am just learning about this topic.

Answer:

m<ADC= 180-m<ABC or m<ABC=180-m<ADC

Step-by-step explanation:

Firstly, we need to establish that trapezoid ABCD is an isosceles trapezoid. By doing so, we know that angles opposite one another in an isoseles trapezoid are supplementary. As a result, m<ACD+m<ABC= 180. We can now solve for angle ACD or ABC.

Step-by-step explanation:

You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.

Answer:

Step-by-step explanation:

Correct choice is D

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

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Answer:

Could you add more info?

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

Answer:

135 cupcakes

Step-by-step explanation:

You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.

Answer:

2

Step-by-step explanation:

Answer:

I think it could be true, but maybe its false

Step-by-step explanation:

Answer:

28.27

Step-by-step explanation:

3.14 x 9

is how to do this problem

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

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hope it helps

sorry if I'm wrong

the X confused me

Answer:

it cost Jacob family $32 and he used 7 $5 bill to pay

Step-by-step explanation:

2 × 7 = 14

3 × 6 = 18

18 + 14 = 32

5x - 32 = 3

5x = 32 + 3

5x = 35

x = 35 ÷ 5

x = 7

Answer:

Option 4

Step-by-step explanation:

Both the quadrilaterals are similar,

ABCD ~ WXYZ

Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.

Scale factor = [tex]\frac{AD}{WZ}[/tex]

                    = [tex]\frac{15}{6}[/tex]

                    = [tex]\frac{5}{2}[/tex]

Therefore, option (4) will be the correct option.

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

Answer:16 is the answer of your question

hope it is helpful to you

Answer:

a=29×36

Step-by-step explanation:

just do 29×36 to get your answer

Answer:

P = 56.562

Step-by-step explanation:

Perimeter of a semicircle:

P = πr + 2r

Given:

r = 11

Work:

P = πr + 2r

P = 3.142(11) + 2(11)

P = 34.562 + 22

P = 56.562

2x 4 =- 8

2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.

Answer:

The LCD in 1/30 + 1/24 is 90.