Directions. Factor 25x2-10x + 1​

Answer:

x = 12

Step-by-step explanation:

The hexagonal tile given here is made up of 6 triangles with equal bases and heights.

So, area of hexagonal tile will be equal to 6 times the area of one triangle.

Therefore,

[tex]18 \sqrt{3} = 6 \times \frac{1}{2} \times 2 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{x}{6} } \\ \\ 18 \sqrt{3} = 6 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{2x}{12} } \\ \\ \frac{18 \sqrt{3} }{6} = {( \sqrt{3)} }^{ \frac{x}{12} + \frac{2x}{12} } \\ \\ 3 \sqrt{3} = {( \sqrt{3)} }^{ \frac{3x}{12} } \\ \\ 3. {3}^{ \frac{1}{2} } = {3}^{ \frac{3x}{24} } \\ \\ {3}^{1 + \frac{1}{2} } = {3}^{ \frac{x}{8} } \\ \\ {3}^{ \frac{3}{2} } = {3}^{ \frac{x}{8} } \\ (bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal) \\ \implies \frac{3}{2} = \frac{x}{8} \\ \\ x = \frac{3 \times 8}{2} \\ \\ x = 3 \times 4 \\ \\ x = 12[/tex]

The area of the hexagon-shaped tile is the amount of space it occupies

The value of x is 2

The given parameters are:

[tex]\mathbf{Area = 18\sqrt 3}[/tex]

[tex]\mathbf{Base= (\sqrt 3)^{\frac x6}}[/tex]

[tex]\mathbf{Height = 2(\sqrt 3)^{\frac x{12}}}[/tex]

The shape is a regular hexagon (i.e. it has 6 equal sides).

So, the area of one of the segments is the total area divided by 6 and this is calculated as:

[tex]\mathbf{A(1) = \frac{18\sqrt 3}6}[/tex]

[tex]\mathbf{A(1) = 3\sqrt 3}[/tex]

A segment of the hexagon is a triangle, and the area of a triangle is:

[tex]\mathbf{Area = \frac 12 \times Base \times Height}[/tex]

So, we have:

[tex]\mathbf{3\sqrt 3= \frac 12 \times (\sqrt 3)^{\frac x6} \times 2(\sqrt 3)^{\frac{x}{12}}}[/tex]

This gives

[tex]\mathbf{3\sqrt 3= (\sqrt 3)^{\frac x6} \times \sqrt 3)^{\frac{x}{12}}}[/tex]

Apply law of indices

[tex]\mathbf{3\sqrt 3= (\sqrt 3)^{\frac x6 + \frac{x}{12}}}[/tex]

Add the exponents

[tex]\mathbf{3\sqrt 3= (\sqrt 3)^{\frac x4}}[/tex]

Express the equations as a base of 3

[tex]\mathbf{3^{\frac 32}= 3^{\frac x8}}[/tex]

Cancel out the base

[tex]\mathbf{\frac 32= \frac x8}[/tex]

Multiply through by 8

[tex]\mathbf{12= x}[/tex]

Rewrite as:

[tex]\mathbf{x = 12}[/tex]

Hence, the value of x is 2

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Answer:

c

Step-by-step explanation:

Answer:

lets say All of the above.

Step-by-step explanation:

Answer:

Paper route earnings each week=($87.8-$37.8) / 10 =$5

If $5=20% we have to find how money is the 100%.

$5-----------------20%

x------------------100%

x=($5*100%) / 20%=$25

solution: $25.00

Step-by-step explanation:

Answer:

x=48, y=37

Step-by-step explanation:

x-y=11, then y=x-11

x+y=85

substitute for y:

x+(x-11)=85

2x-11=85

2x=96

x=48, then y=37

Answer:

Step-by-step explanation:

Rate of change is

So the equation is:

Correct option is D

Answer:

a

Step-by-step explanation:

Answer:

aaaaaaaaaaaaa is the correct answerrrrr

Step-by-step explanation:

i´m a singer of cource

Answer:

192 hours.

Step-by-step explanation:

24 hours in a day

24 x 8 = 192 hours.

Answer:

Step-by-step explanation:

Given that:

[tex]f(x) = x^3 + x - 3 = 0[/tex]

Since the given function is equal to zero, then the function :

[tex]f(x) = x^3 + x - 3[/tex]

where;

[tex]x = 1[/tex] and

[tex]x = 2[/tex]

[tex]f(x) = (1)^3 + (1) - 3 \\ \\ f(x) = 1 + 1 - 3 \\ \\f(x) = -1 < 0[/tex]

[tex]f(2) = x^3 + x - 3 \\ \\f(2) = (2)^3 + 3 - 3 \\ \\f(2) = 8 + 3 - 3 \\ \\f(2) = 11 - 3 \\ \\f(2) = 8 > 0 \\ \\[/tex]

Thus; f(1) < 0 and f(2) > 0

Given:

[tex]\to x^3 + x -3 =0[/tex]

x in between 1 and 2

To find:

value=?

Solution:

[tex]\to x^3 + x -3 =0[/tex]

put value x= 1 and x in 2 in the above equation:

[tex]\to 1^3 + 1 -3 =0\\\\\to 1 + 1 -3 =0\\\\\to 2 -3 =0\\\\\to -1=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{Equation (a)} \\\\ \to 2^3 + 2 -3 =0\\\\\to 8+ 2 -3 =0\\\\\to 10 -3 =0\\\\\to 7=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{Equation (b)}[/tex]

Therefore the equation a < 0 and equation b > 0.

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Answer:

21^7~28 I think I learnt a different way to every one

Step-by-step explanation:

yes because after the first rotation the triangle formes a parallelogram, because the interior angles are equal, because the parallelogram is basically formed of two identical triangles. after the second rotation the triangle forms yet another parallelogram(the one "glued" to the initial triangle) for the same reason. in conclusion the bases of the final quadrilateral will always be paralel because of the parallelograms=>it will always be a trapezoid

Answer:

look it up

Step-by-step explanation:

Answer:

I want it THAT WAY

Step-by-step explanation:

Answer:

Read Below

Step-by-step explanation:

The sales are associated with temperatures because when its hotter out people tend to buy Ice cream

Answer:

I think it's 2-pentene!

Answer:3,600

Step-by-step explanation:

Find the Prime factorization of 400: 2x2x2x2x5x5

Find the Prime factorization of 900: 2x2x3x3x5x5

Multiply each factor the greater number of times it occurs: 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5= 3,600

Answer:

1{-8}

2{-14}

Step-by-step explanation:

I think, sorry if I'm wrong

Step-by-step explanation:

Let Maya's age is m.

Sax age is 3 years older than twice Maya's age

Sax age = 2m +3

Zach age = 23 years

We need to find the equation that is used to solve Maya's age. ATQ,

2m + 3 = 23

If we solve,

2m = 23-3

2m = 20

m = 10

Hence, this is the required solution.

Answer:

Pyramids were built for pharaohs.

Answer:

pharaohs. i just took the test

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

6-4.05= 1.95

1.95/.65=3

Answer:

3 times

Step-by-step explanation:

1) 4.05 + 0.65= 4.70

2) 4.70 + 0.65= 5.35

3) 5.35 + 0.65= 6

Answer:

0.3, 33%, 1/3, pi x 10-1

Step-by-step explanation:

Let's simplify all of them so that they're in the same form. 33% is 0.33 as a decimal, since a percentage is out of 100. 1/3 is equal to 0.33333 repeating as a decimal--This one is just one that you have to memorize. 1 divided by 3 will give you your answer. Next, pi multiplied by 10: pi is roughly 3.14159 to the hundred-thousandths place. So we multiply that by 10, giving us 31.4159. -1 gives us 30.4159.

So:

0.3, 33%, 1/3, and lastly pi x 10-1

Answer:

A. Correct

B. Incorrect

C. Incorrect

Step-by-step explanation:

B.180-102=78, 78-(180-137)=35, 180-35=145

c. i cant see the other angle so i dunno

Answer:

Step-by-step explanation:

4x^2 + 7x^2 = 11x^2    Nothing else combines.

Answer: 11x^2 + 4x

x by itself is not similar in any way to x^2

add 4x^2 and 7x^2

which is 11x^2+4x

Answer: Answer is D, a 55° angle

Step-by-step explanation:

Answer:

46, 85, 87.5

Step-by-step explanation:

For number 1, the angles are alternate exterior which means that they are equivalent. 2x-20 = x + 26. x=46. Number 2, 2x-80=90. 2x=170. x=85. Number 3, the angles are supplementary in which their sum is 180. (x+20)+(x-15)=180. 2x=175. x=87.5

Answer:

Cost of the binder = $5

Cost of the highlighter = $2.5

Cost of the folder = $2

Step-by-step explanation:

Let

Cost of the binder = x

Cost of the highlighter = 1/2x

Cost of the folder = x - 3

Total cost = $9.50

Total cost = Cost of the binder + Cost of the highlighter + Cost of the folder

9.50 = (x) + (1/2x) + (x-3)

9.50 = x + 1/2x + x - 3

9.50 + 3 = x + 1/2x + x

12.50 = 2x + 1/2x

12.50 = 2 1/2x

12.50 = 5/2x

x = 12.50 ÷ 5/2

= 12.50 × 2/5

= 25/5

x = $5

Cost of the binder = x = $5

Cost of the highlighter = 1/2x = 1/2*6 = $2.5

Cost of the folder = x - 3

= 5 - 3 = $2

Answer:

-3 i think because it is low i am soooo sorry if its wrong i really wasnt trying to get points i wanted to help hope for the best

Step-by-step explanation: