What is the area of the figure? The figure is not drawn to scale.

05.1 cm²
011.7 cm²
027.72 cm²
O55.44 cm²

Answer:

60

Step-by-step explanation:

The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

The roots are given as:

x = 6 and x = 2

Rewrite as:

x - 6 = 0 and x - 2 = 0

Multiply both equations

(x - 6)(x - 2) = 0 * 0

Evaluate the product

x^2 - 6x - 2x + 12 = 0

Evaluate the difference

x^2 - 8x + 12 = 0

Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

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Answer:

3200

Step-by-step explanation:

Simple interest = PRT/100

= (16000 × 5 × 4%\)/100

= 320000/100

= 3200

The range exist on all real values. This can be written as (-infty, infty)

The range is the value of the dependent variable for which it exists. Given the following functions

f(x) = |x| + 9 and;

g(x) = -6

Determine the sum

(f+g)(x) =  |x| + 9 + (-6)

(f+g)(x) = |x| + 9 -6

(f+g)(x) = |x| + 3

Determine the range of the function

The range exist on all real values. This can be written as (-infty, infty)

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Answer:

a) 15:7

b) 1950 ml

c) There were 10 people in the group

Step-by-step explanation:

a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.

b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.

c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.

Answer:

1% given away means 1/100 × 3= 0.03

therfore what is left is : 3-0.03= 0.97

Answer:

1% means 1/100, so 1% of 3 acres of land = 1/100×3 = 3/100 or 0.03 acres of land. Since he gave 0.03 acres of land away, Mr A has 3-0.03 = 2.97 acres of land

i love you when you call me se

The phrase best describes the range of the function h(x) is option A: all real numbers.

The range is the set of all values which the given function can output.

A step function h(x) is represented by y = -2|x|.

The mode of x gives the real number every time by putting the values.

The phrase best describes the range of the function h(x) is option A: all real numbers.

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Answer:

140

Step-by-step explanation:

To solve this, we must reverse all the steps Adnan took to get the final number of 3.

If the last thing he did was take the square root, we need to square 3 to get the result. [tex]3x^{2} =9[/tex], so the sum they are referring to in the prompt is 9.

Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.

It says that he took the square root before that, so we need to square 8 to get [tex]8x^{2} =64[/tex].

It says that he subtracted 6 to get this number, so we have to add 6 to get[tex]64+6=70[/tex].

Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: [tex]70*2=140.[/tex]

Adnan's original number was 140.

Hope this helps! :)

Answer:

8 - 4x^2y - 6y^6

Step-by-step explanation:

Answer:

a. 1

Step-by-step explanation:

The question requires us to find the value of the function g(x) when x is -3.

g(x)= -2x -5

This means that for the function of g, when the input value is x, the output value is -2x -5.

For g(-3), x takes on the value of -3. We can thus evaluate the value of g(-3) by replacing x by -3 in the expression -2x -5.

g(-3)

= -2(-3) -5

= 6 -5

= 1

Therefore, a is the correct option.

Additional:

Here is another question on functions which you might wish to check out.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51[/tex]

Answer:

(1, - 7 )

Step-by-step explanation:

using the midpoint formula

given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )

midpoint = ( [tex]\frac{3-1}{2}[/tex] , [tex]\frac{-12-2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (1, - 7 )

Step-by-step explanation:

[tex] x_{m} , y_{m} \: = ( \frac{x _{1} + x_{2} }{2} ,\frac{y _{1} + y_{2} }{2}) \\ [/tex]

x1 = 3, x2 = (-1)

y1 = (-12), y2 = (-2)

[tex] x_{m} , y_{m} \: = ( \frac{3+ ( - 1) }{2} ,\frac{( - 12)+ ( - 2) }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = ( \frac{3 - 1 }{2} ,\frac{( - 12) - 2 }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = ( \frac{2 }{2} ,\frac{- 14 }{2}) \\ [/tex]

[tex]x_{m} , y_{m} \: = 1 ,( - 7)[/tex]

Answer:

Step-by-step explanation:

30 divided by 5 - 2 + 7 = 3

Then , write down the correct equation.

30 : (5 - 2 + 7) = 3

30 : (3 + 7) = 3

30 : 10 = 3

3 = 3

The corresponding angles of triangle ABC and its image are congruent

The transformation rule is given as:

A rotation of 180 degrees about the origin

The rotation transformation is a rigid transformation.

This means that it does not alter the side lengths and the angle measure of the shape being rotated

Hence. the corresponding angles of triangle ABC and its image are congruent

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Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.

The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.

Find m∠PRT in ΔPRT using the cosine ratio formula:

cos(m∠PRT) = 15/17

m∠PRT = cos^(-1)(15/17)

m∠PRT ≈ 28.07°

Find RQ in ΔPRQ using the cosine ratio formula:

cos(28.07) = RQ/15

RQ = cos(28.07) × 15

RQ ≈ 13.2

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The area of the rectangle is 31.937 cm².

A rectangle is a 2-dimensional quadrilateral with four right angles.  A rectangle has two diagonals of equal length which bisect each other

Area of a rectangle = length x width

9.64 x 3.313 = 31.937 cm²

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Answer:

H

Step-by-step explanation:

every "|" is equal to 0.1

so you count 5 points which will get you to H which is 0.5

Answer:

X=1 and Y=4

By counting eacht vetmrtical divided units

Answer:

  about 51.77%

Step-by-step explanation:

The probability you will roll a 2 is the complement of the probability you will not roll a 2.

__

A die has 6 faces, one of which is labeled with 2. The probability of rolling a 2 on any given roll is 1/6, so is 1-1/6 = 5/6 that a 2 will not be rolled. Sequential rolls of the die are presumed to be independent, so the probability of 4 rolls not showing a 2 at any time is ...

  p(no 2) = (5/6)^4 = 625/1296

The probability that at least one 2 will show up on at least one roll is the complement of this value:

  p(some 2) = 1 -625/1296 = 671/1296 ≈ 0.517747

The chance you will roll at least one 2 is about 51.77%.

Answer:

Here is the answer...hope it helps:)

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

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Answer:

Step-by-step explanation:

ans in picture

Answer:

[tex]n=-12[/tex]

Step-by-step explanation:

[tex]\text{When}~ n = -12,\\\\~~~~~-2(6x+2) = -12x-4\\\\\implies -12x -4 = -12x -4 \\\\\text{Since both sides are equal for all values of x, there are infinitely many solutions.}[/tex]

Answer:

because 3 and 5 the answer is 17

Let x, y, z denote the costs of milk, Serrano ham, and olive oil, respectively. Form the related system of equations and solve.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} 24x+6y+12z =156 \\ \ \qquad \qquad \quad \ z=3x \\ \qquad\ 4x+4z=y \end{matrix}\right.\ \Longrightarrow\ y=16x } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 156=24x+6(16x)+12(3x)=156x\Longrightarrow x=1 } \end{gathered}$}[/tex]

         [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ y= 16\qquad z=3 } \end{gathered}$}[/tex]

Milk costs 1 a liter, Serrano ham 16 a kilogram and olive oil 3 a liter.

The key features are (a) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.

The functions are given as:

f(x) = 3x

[tex]g(x) = \sqrt{x -3}[/tex]

Next, we enter the above equations in a graphing calculator.

From the graphing calculator, we have:

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (a)

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Answer:

see the attachment photo!

just comment here if you need help

The best description about the line AD is,

⇒ Perpendicular bisector

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now, We have by figure;

BD = 17

DC = 17

Hence, We can say that;

Line AD is Perpendicular bisector of line BC.

Thus, The best description about the line AD is,

⇒ Perpendicular bisector

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Answer:

9x - 3

Step-by-step explanation:

Hello!

A square has 4 sides.

We can factor out 4 from the expression to find the value of one side.

Factor:

This means that each side of the square is 9x - 3 units long.

Answer:

x = 18

Step-by-step explanation:

the 2 angles are alternate exterior angles and are congruent, then

7x - 7 = 6x + 11 ( subtract 6x from both sides )

x - 7 = 11 ( add 7 to both sides )

x = 18

Answer:

18

Step-by-step explanation:

(7x-7)° = (6x+11)°------ (alternate exterior angles are equal)

therefore,

7x-7= 6x+11

collect like terms

7x-6x = 11+7

x = 18