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How many miles longer is Trail A than Trail B?

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

Answer:

x = 1.76129406    

x=0.09462739

Step-by-step explanation:

The value of y will be 18 or 144.

Given information:

The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]

So, for the value of given expression to be a whole number, the value of y should be,

[tex]2\times3\times3=18[/tex] or 144.

For the above values of y, the given expression will be,

[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]

Therefore, the value of y will be 18 or 144.

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Answer:

Its B. 2

Step-by-step explanation:

Edge

[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

Rhombus

Step-by-step explanation:

The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

I had this question earlier, and if I remember correctly the answer was 56.40

Answer:

Step-by-step explanation:

360° degrees

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The two-dimensional figure is shown in the picture.

As we know from the definition of the geometric transformation; the change in coordinates and the shape of the geometrical body and geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees

Because the rotation of 45, 90, and 180 degrees cannot map the figure onto itself.

Thus, the least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

Learn more about the geometric transformation here:

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Answer:

Step-by-step explanation:

Given:

y1 = 5.2

y2 = 1

x1 = 0

x2 = -1.5

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 1 - 5.2 ) / ( -1.5 - 0 )

m = -4.2 / -1.5

m = 2.8

then

y - y1 = m ( x - x1 )

y - 5.2 = 2.8 ( x - 0 )

y - 5.2 = 2.8x - 0

y = 2.8x + 5.2

Answer:

$666.18

Step-by-step explanation:

613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)

Answer:

Tan (X) = 72/65. = 1.1

Step-by-step explanation:

tan x = (opposite side) / (adjacent side)

From angle X the adjancent is the closest leg which has the value of 65 and the opposite is the furthest leg with a value of 72. (the line that is connecting the legs which is the biggest line is the hypotenuse and has a value of 97). You will not need the hypotenuse I just gave you extra information for future purposes.

so, since tan x = (opposite side) / (adjacent side):

Tan (X) = 72/65.

Answer:

B

Step-by-step explanation:

As x gets bigger or smaller, y approaches negative infinity

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding parts are listed in the same order in the congruence statement:

  RST ≅ TXY

  R ⇔ T

  S ⇔ X

  T ⇔ Y

  RS ⇔ TX

  RT ⇔ TY

  ST ⇔ XY

_____

Above, we have used ⇔ to mean "corresponds to."

[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]

Answer:

10

Step-by-step explanation:

First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.

So 2x + 4x - 10 = 4x.

6x - 10 = 4x

6x - 4x - 10 = 4x - 4x

2x - 10 = 0

2x - 10 + 10 = 0 + 10

2x = 10

x = 5.

IJ is 4x - 10, so it becomes 4(5) - 10

20 - 10 = 10

Answer:

im sorry but r u even trying..... bc i just answer one of ur questions

Step-by-step explanation:

Answer:

$37,396

Step-by-step explanation:

take 2388.5x4 since there are 4 weeks = $9554

then you subtrct since the portfolio fell.

So $46,950-9554 = $37,396

Answer:

I believe the answer is 17 ft and 8 inches

Step-by-step explanation:

correct me If im wrong

Answer:

(i) sin 250°: negative

(ii) tan 330°: negative

(iii) cos(-40°): positive

Step-by-step explanation:

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

don't worry i help you now

Step-by-step explanation:  Let's come up with points that would be on the graph of a str. line:

(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).

Assume that this is a line, a str. line, and not a curve.  

The slope of this line is

       1 11/12 - 1 1/12

m = ------------------------ = 10/12, or 5/6.

              2 - 1

We now have the slope and y-intercept:  slope = m = 5/6; intercept = 1/4.

The line is then    y = (5/6)x + 1/4.

To answer this question, substitute 4 for x and calculate y:

  y = (5/6)(4) + 1/4 = 20/6 + 1/4   =  40/12 + 3/12   =   43/12 inches.

That's 3 7/12 inches.

i think that may help you  

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.

Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.

About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:

Moreover, this idea helps identify other elements of the text by stating the main purpose.

Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.

"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.

Learn more about sexism in: https://brainly.com/question/6022376