How many 12 letter words can be formed using the letters in the word "tessellation"?

Answer:

A

Step-by-step explanation:

Given:

[tex]x^2+kx-98=0[/tex]

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].

According to the question,

[tex]\beta=2(-\alpha)[/tex]        (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])

[tex]\beta=-2\alpha[/tex]

If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then

[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

We have,

[tex]x^2+kx-98=0[/tex]

Here, a =1, b=k and c=-98.

[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]

[tex]\alpha-2\alpha=-k[/tex]           [tex][\because \beta=-2\alpha][/tex]

[tex]-\alpha=-k[/tex]

[tex]\alpha=k[/tex]           ...(i)

Now,

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex]          [tex][\because \beta=-2\alpha][/tex]

[tex]-2\alpha^2=-98[/tex]

Divide both sides by -2.

[tex]\alpha^2=49[/tex]

Taking square root on both sides.

[tex]\alpha=\pm \sqrt{49}[/tex]

[tex]\alpha=\pm 7[/tex]

Using (i), we get

[tex]k=\pm 7[/tex]

Therefore, the value of k is either -1 or 1.

Answer:

252 cm²

Step-by-step explanation:

Find AB:

AB² = 41² - 40²

AB² = 81

AB = √81

AB = 9 cm

Area of the trapezium = ½(a + b) × h

Where,

a = 16 cm

b = 40 cm

h = 9 cm

Area = ½(16 + 40) × 9

Area = ½(56)×9

Area = 252 cm²

Answer:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

Answer:

y = -2x +3

Step-by-step explanation:

Parallel lines always have the same slope

To insert the point, use the slope intercept formula: y =mx+b

insert y (9)

insert x (-3)

insert the slope -2

9 = (-2)(-3) + b

9 = 6+b

subtract 6 from both sides

3 = b

Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

Answer: See explanation

Step-by-step explanation:

You didn't say what you would like to calculate but based on tbe information given in the question, I guess that you want to calculate the percentage of readers who use an e-reader. This will be:

Number of readers surveyed = 3,000

Number of readers reading on e-reader = 1,954

Percentage of e-readers would then be:

= (1954 / 3000) × 100

= 65.13%

Answer:

I dont see anything how am I supposed to

Answer:20

Step-by-step explanation:

y=1/2x+10

1/2x=y-10

x=2y-20

y=2x-20

Answer:

x=72/11

Step-by-step explanation:

Answer:

x=- 18

Step-by-step explanation:

3x+9= -45

3x=-45-9

3x=-54

x=-54/3

x= -18

Answer:

f(6)=-7

Step-by-step explanation:

Just plug in n=6 into the function:

f(n)=5-2n

f(6)=5-2(6)

f(6)=5-12

f(6)=-7

Therefore, the correct answer is f(6)=-7

Answer:

the answer is g=−12+ 30/n

​

Step-by-step explanation:

its B 15 divide by 3 is 5 because 2 - 5 is -3 - 15 is 5

Answer:

3 inches

Step-by-step explanation:

If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.

Answer:

the answer is e i think.

Step-by-step explanation:

Answer:

ill assume you're asking the answer for 1 hour

Step-by-step explanation:

multiply each side by 4. then, 12/4(3)=1

so 3 square feet and hour

Answer:

The answer is A. y =32x + 15

Step-by-step explanation:

The reason behind this is the rate. The amount of money each month is the slope (m). The additional fee would be the b.

Slope intercept form - y = m(x) + b. m represents slope, b represents the y-intercept. You should be able to plug in any value for y and x into the equation, and it should result in a true statement.

The y-intercept is easy to find. It is the point where X is equal to zero and the graph line crosses through the y axis. In this case, y intersects at -2. Since we insert the y intercept at b, we can go ahead and plug it in there.

y = m(x) + b > y = m(x) - 2  

Since there is only one option with the y intercept equalling -2, you can go ahead and pick D) y = -x - 2 as your answer, since no other options have the correct y-intercept.

Answer:

y = 2

Step-by-step explanation:

Given

7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1

7y - 9 - 4y = - 3 , that is

3y - 9 = - 3 ( add 9 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

Answer:

you are not a brainly bot

Step-by-step explanation:

Reduce by cancelling the common factors.

(13)x−1=27 Convert the exponential equation to a logarithmic equation using the logarithm base (13) of the right side (27)  equals the exponent (x−1)log13(27)=x−1

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

Answer:

.10

x

2

+

11

x

y

−

6

y

2

Step-by-step explanation:

The Expression

=

(

2

x

+

3

y

)

(

5

x

−

2

y

)

=

2

x

(

5

x

−

2

y

)

+

3

y

(

5

x

−

2

y

)

=

10

x

2

−

4

x

y

+

15

x

y

−

6

y

2

=

10

x

2

+

11

x

y

−

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y

2

.

Answer:

For every 2 boys in class, there is 1 girl in class

Step-by-step explanation:

Answer:

The first choice

Step-by-step explanation:

It says that its decreasing so the slope is negative.

It also starts of with 565 so that's the y intercept

Answer:

The bigger figure's area is 20m, and the smaller is 6m. :)

Step-by-step explanation:

Answer:

The bigger figure's area is 20m, and the smaller is 6m.

Step-by-step explanation:

bc i know

Answer:

2+7

Step-by-step explanation:

Answer:

x = 8

y = 3

Step-by-step explanation:

11x - 20y = 28

3x + 4y = 36

11x - 20y = 28

11x = 20y + 28

x = [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex]

3x + 4y = 36

3 ( [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex] ) + 4y = 36

[tex]\frac{104}{11}[/tex]y = [tex]\frac{312}{11}[/tex]

y = 3

x = [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex]

x = [tex]\frac{20}{11}[/tex] ( 3 ) + [tex]\frac{28}{11}[/tex]

x = 8

Answer:

Again...

Step-by-step explanation: