what is the vertex of this graph
(minimum or maximum)

The area of a new circle that has line segment GX as its diameter is 121 pi cm² .

Suppose that,

The radius of the small circle (GH) = 10 cm.

The radius of the big circle (HX) = 12 cm.

We will add the line GH and HX to get the total length of line segment GX.

So, GX = GH + HX

            = 10 + 12

      GX = 22 cm.

So, the diameter of new circle will be equal to line segment GX as it is given in the question.

Then, the area of new circle  = π r²    ( r = radius)

 Radius = D/2 = 22/2      (D = Diameter)

           r = 11

Now,     Area = π × 11²

                     = 121π cm²

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The inverse function returns the original value for which the output of a function was given.

The inverse of the function f(x) = (x - 4)² is f(x) = √x - 4

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.

Consider F(x) = y,

The x and y value is switched giving the necessary equation of

x = (y - 4)²

Then solve for y

√x = y - 4

simplifying the above equation, we get

y = √x - 4

The domain of the expression is all real numbers except where the expression is undefined, In this case, there are no real numbers that make the expression undefined.

Interval Notation: (-∞,∞)

Set-Builder Notation: {x| x ∈ R}

The range is the set of all valid y values, use the graph to find the range

Interval Notation: [0,∞)

Set-Builder Notation: {y| y ≥ 0}

The domain and range be

Domain: (-∞,∞) {x| x ∈ R}

Range: [0,∞) {y| y ≥ 0}

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The first 4 terms of the geometric sequence are 12 , 36 , 108 and 324.

In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.

The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .

Given the first term of the geometric sequence is 12 .

And given [tex]a_n=a_{n-1}\times 3[/tex]

Now using the above formula:

a₂ = a₁ × 3

or, a₂ = 12 × 3 = 36

Again using the above formula:

a₃ = a₂ × 3

or, a₃ = 36×3 = 108

Similarly

a₄ = a₃ × 3

or, a₄ = 108 × 3 = 324

Hence the first four terms of the geometric sequence are 12 , 36 , 108 and 324 .

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Answer:

  138, 139

Step-by-step explanation:

You want the consecutive page numbers whose total is 277.

Consecutive integers differ by 1. If the lesser of two consecutive integers is represented by x, then the next one is (x+1). The sum of these two integers will be ...

  x + (x +1) = 2x +1

We want to find the numbers whose sum is 277:

  2x +1 = 277

  2x = 276

  x = 138

  x+1 = 139

The two page numbers are 138, 139.

__

Additional comment

It is customary for the odd page number to be on the right when the book is open. Fortunately, this problem makes that be the case.

Therefore, two page numbers are 138, 139 of a left and right page numbers of an open book are two consecutive integers whose sum is 277.

Positive numbers, negative numbers, and zero are examples of integers. 'Integer' is a Latin word that means 'complete' or 'completely'. This means that integers exclude fractions and decimals. In this article, we'll learn more about integers, their definition, and their properties.

All whole numbers & negative numbers are considered integers. This means that if we combine negative and whole numbers, we get a set of integers.

The difference between two consecutive integers is 1. The following integer is (x+1) if x is the lesser of two subsequent integers. These two integers' sum will be

x + (x +1) = 2x +1

So for 277 the equation will be

⇒  2x +1 = 277

⇒  2x = 276

⇒  x = 138

⇒  x+1 = 139

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Answer:

75 flowers

Step-by-step explanation:

she needs to make 18 arrangements, so we divide 18 by 6 and get 3. 3 * 25 is 75 so the answer is 75.

Laura will arrange 18 flowers within 75 minutes of the time.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Laura can make six flower arrangements in 25 minutes if she makes 18 flower arrangements. The time will be calculated as,

Time = ( 25 x 18 ) / 6

Time = 25 x 3

Time = 75 minutes

Hence, it will take 75 minutes to arrange 18 flowers.

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Answer: The answer is -9

Step-by-step explanation: so the equation is 16+56/2^3-17. First we multiply 2^3 which makes 8 and now we have 16+56/8-17 and then continue with addition and subtraction were left with 72/-9 then we divide it and were left with -8 as our total!

Hoped this helped! C:

The value of the expression is 6.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

16 + 56 ÷ 2³ - 17

Applying PEMDAS.

= 16 + 56 ÷ 8 - 17

= 16 + 56/8 - 17

= 16 + 7 - 17

= 16 - 10

= 6

Thus,

The value of the expression is 6.

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Answer:

Ballio's goal is to read 23 books.

Step-by-step explanation:

9+9+9=27

27-4=23

27

9 9 9            (9x3=27)

31                 (27+4)

27 4

23                (27-4)

Brainlist Pls!

Since their dot product is not equal to zero, then vectors (1,8) and (4, -2) are not normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (1,8) and (4, -2).

Let u = (1, 8) and  v = (4, -2), then,

u . v = 1 . 4 + 8 . (-2)

       = 4 + (-16) = -12 (not equal to zero)

Since u.v ≠ 0, then (1,8) and (4, -2) are not normal to each other.

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Since their dot product is zero, then (6,-3) and (2,4) are normal to each other.

Step-by-step explanation:

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (6,-3) and (2,4).

Let u = (6, -3) and  v = (2, 4), then,

u . v = 6 . 2 + (-3) . 4

        = 12 + (-12) = 0

Since u.v = 0, then (6,-3) and (2,4) are normal to each other.

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Answer:

Phase shift = [tex]\frac{3\pi }{5}[/tex]

Vertical shift = [tex]0[/tex]

Step-by-step explanation:

Shift Definition

[tex]\text{For\:}f\left(x\right)=A\cdot g\left(Bx-C\right)+D\text{,\:where\:}g\left(x\right)\text{\:is\:one\:of\:the\:basic\:trig\:functions,\:}[/tex] [tex]\frac{C}{B}\text{\:is\:phase\:shift}[/tex], [tex]D\text{\:is\:vertical\:shift}[/tex]

Here we have

[tex]\left(x\right)=4\csc \left(\frac{5\theta-3\pi }{4}\right)[/tex]

which can be written in the form [tex]g\left(Bx-C\right)=\csc \left(\frac{5\theta-3\pi }{4}\right)[/tex]

So comparing the two we get [tex]B=\frac{5}{4}, C=\frac{3\pi }{4},\:D=0[/tex]

Phase shift = [tex]\frac{C}{B} = \frac{\frac{3\pi }{4}}{\frac{5}{4}}[/tex] [tex]= \frac{3\pi }{5}[/tex]

Vertical shift [tex]D = 0[/tex]

Answer:

Red or blue crayon - 11/16

Step-by-step explanation:

Red crayon - 9/16

Blue crayon - 2/16

Red or blue crayon - 11/16

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

[tex]f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=\sin x[/tex]

The differentiation of sin(x) is cos(x).

[tex]\implies f'(x)=\cos x[/tex]

Therefore:

[tex]\implies f' \left(\dfrac{\pi}{3}\right) = \cos \left(\dfrac{\pi}{3}\right)[/tex]

[tex]\implies f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}[/tex]

The domain of f ( x ) = R , its range = y ≥ 4 and the domain of g ( x ) = R and its range = R as well .

Domain : The set of all the possible values of x is called domain of the function .

Range : The set of all the possible values of y is called the range of the function  .

Given : f ( x ) = [tex]x^{2}[/tex] + 4  , g ( x ) = 3 x - 1 .

To find : Domain and Range of functions .

f ( x ) = [tex]x^{2}[/tex] + 4

Domain = R ( real nos. )

Range = y ≥ 4 .

g ( x ) = 3 x - 1

Domain = R ( real nos. )

Range = R ( real nos. )

Therefore , the domain of f ( x ) = R , its range = y ≥ 4 and the domain of g ( x ) = R and its range = R as well .

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Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

The value of x in the angles is 14.

When parallel lines are cut by a transversal, angle relationships are formed.

The angle relationships that are formed includes corresponding angles, alternate angles, vertical angle etc.

Therefore, the value of x can be found as follows;

m∠1 = m∠7 (vertical angles)

Therefore,

m∠7 = m∠15(corresponding angles)

Hence,

m∠1 = m∠15

m∠1 = 8x - 4

m∠15 = 6x + 24

Therefore,

8x - 4 = 6x + 24

8x - 6x = 24 + 4

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

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The three undefined terms that form the basis for geometry are:

- Point

- Line

- Plane

The term undefined is often used to refer to an expression that is not assigned an interpretation or a value.

The main three undefined terms of geometry are:

- Point

In geometry, a point has no dimension.

A point is represented by a dot.

The point has no length, width, or thickness.

A dot can be very tiny or very large.

- Line

A line is a straight one-dimensional figure that has a length but does not have a thickness, and it extends endlessly in both directions.

A line is made of a set of points that is extended in opposite directions infinitely.

- Plane

A plane, in geometry, prolongs infinitely in two dimensions.

It has zero thickness, zero curvature, infinite width, and infinite length.

It is also known as a two-dimensional surface.

Thus,

The three undefined terms that form the basis for geometry are:

- Point

- Line

- Plane

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Answer:

C. <3 and<4

Step-by-step explanation:

Complementary angles are angles whose two angles make the sum 90°.

Guess bestie slay you'll do great!

Answer:

Step-by-step explanation:

I cannot tell which points are which. We need a clearer picture if you do not mind

The point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

We need to first rotate the point 90° counterclockwise around the origin.

Let the point be (x, y)

When rotating a point 90° counterclockwise about the origin, the coordinate of the point (x, y) will become (-y, x). In other words, x and y will be switched and y will become negative.

Now, we need to translate the point 17 units right.

So, it means that the x - coordinate of the point will become x + 17

So, the point now becomes:

( -y , x ) = ( - y + 17 , x)

(17 - y, x)

Now we have to translate the point 12 units up.

So, we get that:

(17 - y, x + 12)

Therefore, the point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

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Answer:

Step-by-step explanation:

When we apply the exponent rule: [tex](\sqrt[n]{x})^n = x[/tex]

[tex](\sqrt[3]{9})^2 * (\sqrt{20})^2 = 30(\sqrt[3]{9})^2[/tex]

[tex]= \mathrm{Decimal:\quad }\:129.80246\dots[/tex]

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Ana forgot to do prime factorisation of [tex]\sqrt{27}[/tex] and bring out one three from the pair of square root of 3.

Answer: she used 3 as the denominator and 17 as the numerator and/or she didn't make it a fraction which would make the correct answer be 3/27=1/9

Step-by-step explanation:hope it helps, brainliest? i could really use it

An equation for the total cost is TC = 1500 + 5x

In this question, a canteen has fixed cost of $1500 per week.

A meal costs $5 each are sold at a fixed price of $9 each.

We need to write the equation for the total cost.

Let x be the number of individuals.

Let TC represents the total cost.

So, an equation for the total cost would be,

TC = 1500 + 5x

Therefore, an equation for the total cost is TC = 1500 + 5x

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The common difference for the recursive equation [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 5  is 5.

It is a sequence where the difference between each consecutive term is the same.

We have,

The recursive equation:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 5

and [tex]a_{1}[/tex] = -3

We can find the consecutive term using the recursive equation.

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] + 5 = -3 + 5 = 2

[tex]a_{3} =a_{2}[/tex] + 5 = 2 + 5 = 7

The sequence we get is:

-3, 2, 7, 12,....

The common difference means the differences in between two consecutive terms.

2 - (-3) = 5

7 - 2 = 5

12 - 7 = 5

Thus the common difference is 5.

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