Factoring binomials with the difference of squares

Using the geometric mean concept, it is found that the value of a is 18.

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The geometric mean, of a data-set of n elements, [tex](n_1, n_2, ..., n_n)[/tex], is given by:

[tex]G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}[/tex]

That is, the nth root of the multiplication of all elements.

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In this question:

Thus:

[tex]\sqrt{34a} = 6\sqrt{17}[/tex]

We find the square of each side, so:

[tex](\sqrt{34a})^2 = (6\sqrt{17})^2[/tex]

[tex]34a = 36\times17[/tex]

Simplifying both sides by 17:

[tex]2a = 36[/tex]

[tex]a = \frac{36}{2}[/tex]

[tex]a = 18[/tex]

The value of a is 18.

A similar example is given at https://brainly.com/question/15010240

Answer:

[tex]b)8[/tex]

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]

[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]

[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]

Hence

It has no solutions

Answer:

A. All Real Numbers

Step-by-step explanation:

26 + 6b ≥ 2(3b + 4)

~Simplify

26 + 6b ≥ 6b + 8

~Subtract 26 to both sides

6b ≥ 6b - 18

~Subtract 6b to both sides

0 ≥ -18

Best of Luck!

Answer:

17$

Step-by-step explanation:

(3 * 2)+ (2 * 4) + (1*3) = 17$

Answer:

the screen is really blurry sorry bout that

Step-by-step explanation:

[tex] : \implies \frak{ - 1 \frac{3}{5} - ( - 2 \frac{5}{8})} \\ :\implies \frak{ - \frac{8}{5} - ( - \frac{21}{8})} \\ \\ : \implies \frak{ - \frac{8}{5} + \frac{21}{8} } \\ \\ : \implies \frak{ \frac{ - 64 + 105}{40} } \\ \\ \star \qquad \boxed{\frak{ \green{\frac{41}{40}}}}[/tex]

Answer:

5x+9 =  109

3x+11 =71

Step-by-step explanation:

A linear pair adds to 180

5x+9  + 3x+11 =180

Combine like terms

8x + 20 =180

Subtract 20 from each side

8x +20-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x=20

5x+9 = 5*20+9 = 100+9 = 109

3x+11 = 3*20+11 = 60+11=71

Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

B) H, N, K, I

Step-by-step explanation:

Collinear points are points that are on the same line. Therefore, the answer is B.

The points H, N, K, and I are collinear which is the correct answer that would be an option (B).  

Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear. There can be a collinear relationship from three or more points, although it is not necessary.

A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.

We have given a line and a planar surface with points H, N, K, I, M, N, O, J, K, and L.

At the line, points H, N, K, and I are collinear.  

Hence, the points H, N, K, and I are collinear which is the correct answer that would be an option (B).  

Learn more about the collinear points and the coplanar here:

https://brainly.com/question/5191807

#SPJ2

Answer:

4.5

Step-by-step explanation:

find the difference,square them,add and find the square root

-1-1=-2

4-(-1)=4

2^2+4^2=4+16

=20

square root of 20=4.5(2dp)

Answer:

26 [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

5 m

Step-by-step explanation:

We convert m to cm by adding 2 zeroes. So 11m = 1100 cm

A = l*w

where l = length and w = width

so w = 11 m

we are looking for l (length)

so set up an equation,

5500 = 11 * l

and divide by 11 on both sides

5500 / 11 = l = 500 cm

Check: 11 * 500 = 5500

We can remove two zeroes to get the value in meters.

500 cm = 5 m

Answer:

The standard form of a quadratic equation is ax2+bx+c=0, where a,b and c are real numbers and a≠0.

Answer:

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form.

Answer:

cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78

Step-by-step explanation:

Diatance from Nanaimo to Tofino is 207km.

Now:

fuel consume in 100km= 12L

fuel consume in 1km=12/100L

We have to find consumption of fuel in 207km.

fuel consume in 207km=12/100 × 207km

= 24.84L

Price of 1 liter= $1.40

Price of 24.84 liters=$1.40 × 24.84

=$34.78

Note:If you have question about it you can ask.Thanks

2

5+(-2)=5-2=3. 3 is 2 units away from 5.

3<5 so the answer here is negative!

The answer is in the photo

Answer:

14%

Step-by-step explanation:

To change a fraction to a percentage multiply fraction by 100%, that is

[tex]\frac{7}{50}[/tex] × 100% = 7 × 2% = 14%

Step-by-step explanation:

7/50 have to times 100% to get the percentage so,

Working:

7/50 x 100%

= 14%

Step-by-step explanation:

x + 10 / 12 = 8/3

x = 8/3 - 10/12

x = 22/12

Answer:

-2

Step-by-step explanation:

So Maria's team skipped 8 turns, losing 8 points, putting them at -8 points. But, Maria's team also guessed correctly 6 times, putting them at -8 + 6 points.

So now we can subtract 8 from 6, or you could subtract 6 from 8(If you do the latter, make sure the answer is negative.):

-8 + 6 = -2

or

6 - 8 = -2

or

8 - 6 = 2 Then make it negative: -2

Answer:

it would be 8^12

Step-by-step explanation:

when exponents are dividing eachother and the bases are the same it would be like

[tex] \frac{ {x}^{3} }{x} [/tex]

so it would turn into x^3-1 then the answer would be x^2

Answer:

1,2,5,10,20 and 80

Step-by-step explanation:

Answer:

D. -23

Step-by-step explanation:

The question wants you to plug in the -7 into the equation. So in this case it wants you to plug the -7 in so it looks like this:

-2(-7)-9

Now it's just simplify which would be easy. Follow PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction). Do the multiplication first so you get -14-9 and then you'll get -23.

Answer:

10

Step-by-step explanation:

20•12=240

490-240=250

250÷25=10

Answer:

Step-by-step explanation:

490 - (20*12) = 490 - 240

                       = 250

then $250/25 = 10 hats