Select the two binomials that are factors of this trinomial.
x^2-x-12
A. X+6
B. X-4
C. X-6
D. x + 3

Answer:

Option C, 15.14 units²

Step-by-step explanation:

area of the triangle,

6.82×5.04×sin(61.73)/2

= 15.1365001284..

= 15.14 units² (rounded to the nearest tenth)

The required area of the irregular triangle is 15.14 unit². Option C is correct.

Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.

The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.

Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.

The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
       =  1/2 * 6.82 * 5.04 * sin61.73°
       =  1/2 * 6.82 * 5.04 * 0.88
       =  15.14 unit²

Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.

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Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

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Answer:

see explanation

Step-by-step explanation:

Given (x - m) is a factor of both then x = m make both expressions equal to zero.

m² - am + b = 0

m² - cm + d = 0

Then

m² - am + b = m² - cm + d ( subtract m² - cm from both sides )

cm - am + b = d ( subtract b from both sides )

cm - am = d - b ← factor out m from each term on the left side

m(c - a) = d - b ← divide both sides by (c - a)

m = [tex]\frac{d-b}{c-a}[/tex] ← as required

We need to form a system of equations:

3x + 2y = 2

2x + 3y = 4

Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).

6x + 4y = 4

6x + 9y = 12

Next, we can subtract the second equation from the first. We get:

0x - 5y = -8

Then this becomes:

-5y = -8

÷-1    ÷-1

5y = 8

÷5    ÷5

y = 1.6

Substitute 1.6 for y in one of the equations:

2x + 3(1.6) = 4

2x + 4.6 = 4

2x = -0.6

÷2      ÷2

x = -0.3

Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

Concept:

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Center = (2, 14)

Radius = 1

Given formula

(x - h)² + (y - k)² = r²

Substitute the value into the formula

(x - 2)² + (y - 14)² = (1)²

Simplify

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

Answer:

422.39

Step-by-step explanation:

[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]

use a calculator for the above and round

Answer:

x= 10.630145

I hope it's helps you

Answer:

The lateral area of this square pyramid is 100 in^2

Step-by-step explanation:

The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.

In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.

AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):

1/2 x 10 x 5 = 25

Multiply that by 4 since all 4 triangular faces are similar:

25 x 4 = 100

So the lateral area of the square pyramid is 100 in^2.

Please rate my answer once you know its score! :DD

Answer:

y is -1

Step-by-step explanation:

[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]

(a) + (b):

[tex]5x = 20 \\ x = 4[/tex]

therefore:

[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]

Answer:

y must be -1

Step-by-step explanation:

We are given the system of linear equations

4x + 2y = 14

 x - 2y = 6

and need to find the value of y.  Combining the two equations yields

5x = 20, and so we know that x must be 4.

If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.

Then y must be -1.

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

Answer:

55%

Step-by-step explanation:

Answer:

x = 3/2

Step-by-step explanation:

Given:

9 - 4x = 2x

Step 1: Addition property of equality

9 - 4x + 4x = 2x + 4x

9 = 6x

Step 2: Division property of equality:

9 = 6x

9/6 = 6x/6

9/6 = x

x = 9/6

= 3/2

x = 3/2

Check:

9 - 4x = 2x

9 - 4(3/2) = 2(3/2)

9 - 12/2 = 6/2

9 - 6 = 3

3 = 3

Answer:

[tex]Slope = \frac{31}{29}[/tex]

Step-by-step explanation:

Step 1:  Define the slope formula

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Step 2:  Find the slope

[tex]Slope = \frac{71-9}{32-(-26)}[/tex]

[tex]Slope = \frac{62}{58}[/tex]

[tex]Slope = \frac{31}{29}[/tex]

Answer:  [tex]Slope = \frac{31}{29}[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Answer:

t = 1.4 meters

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

2.744 = t^3

Take the cube root of each side

(2.744) ^ 1/3 = t^3 ^ 1/3

1.4 = t

Answer:

Area equals to 3615.7

Step-by-step explanation:

So first in order to get the area of the triangle you need to have it’s height and base. We know the base is 150m(you can choose another base too), and we need to get the height.

In order to get the height we can see the triangle as two right triangle spreaded by the height. Now looking at the right triangle at the left hand, realized this triangle has a 40, a 90 degree angle and a side of 75.

Next using the law of sines, and plot the numbers in:

a = b(sinα/sinβ)=75(sin(40°)/sin(90°))≈48.20907

Now calculat the area;

Area = 1/2 bh = 1/2 (150x48.20907) ≈ 3615.6765

I attached a graph below that may help to see will all the things go

Answer:

the larger one is 183

Step-by-step explanation:

[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]

Answer:

1.3

Step-by-step explanation:

bc for each time x increases by 1, it multiplies by 1.3

i cant think of any other way to explain it

but   i hope this helped :D

Answer:

1.3 times

Step-by-step explanation:

f(x)= 68 (1.3) ^x

it, means each year, the expected number of squirrels is 1.3 times, the number the year before.

x=0 so, f(0)=68

New x=1, so f(1)= 68(1.3)¹

= 68 × 1.3

f (1)= f(0) × 1.3

So, 1.3 times

OAmalOHopeO

Answer:

17

Step-by-step explanation:

Solve the equation for x then plug that into the 1st expression.

-3 + 4x = -19

4x = -19 + 3

4x = -16

x = -4

then

-3x + 5

-3(-4) + 5 = 12 + 5 = 17

[tex]\\ \rm\Rrightarrow \dfrac{2}{3}\times 2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(2)}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

1/1/3 of a tree

Step-by-step explanation:

30 minutes = 2/3 of a tree

Since 1 hour = 60 minutes,

60 minutes = 2/3 × 2

                   = 4/3

                   = 1/1/3 of a tree

Answer:

22x + 21y = 0

Step-by-step explanation:

33x + 22y = 11x + y

Subtract y from both sides.

33x + 21y = 11x

Subtract 11x from both sides.

22x + 21y = 0

Answer:

5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8

Step-by-step explanation:

Answer:

2/1

2.5

2whole number6/4

8.6

Answer:

Solution given:

[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]

Answer:

[tex]8.6[/tex]

Step-by-step explanation:

Step 1:  Find the approximate value of [tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]

Answer:  [tex]8.6[/tex]

Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.

Step-by-step explanation:

Answer:

I think that the answer is 5

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)