6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.

Answer:

D. 531[tex]in^{2}[/tex]

Step-by-step explanation:

I suppose these are rectangles and not triangles.

Area of Rectangle = Length x Breadth

Area of Large Rectangle = 21 x 18

= 378[tex]in^{2}[/tex]

Area of Small Rectangle = 17 x 9

= 153[tex]in^{2}[/tex]

Total Area = Area of Large Rectangle + Area of Small Rectangle

= 378 + 153

= 531[tex]in^{2}[/tex]

Answer:

Graph C

Step-by-step explanation:

Rearrange the terms so the equation is in slope-intercept form:
4x + y = 7
y = -4x + 7
The slope is -4, and the only graph that has a slope of -4 is graph C.

Answer:

2

Step-by-step explanation:

6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.

Answer:

[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]

Step-by-step explanation:

[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

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Answer:

the graph of y=x^2-4x is parabola as shown in the image

Step-by-step explanation:

The graph of [tex]y = x^{2} -4x[/tex] by drawing the line y=x-4

so this gives us that the line  y=x-4 satisfies the equation  [tex]y = x^{2} -4x[/tex]

To get points put y = x - 4 in the equation  [tex]y = x^{2} -4x[/tex]

so we get x -4 = x( x- 4)

x =1 and x - 4 = 0

from here we get x = 1,4

now put these values in y = x -4

From here we get y = -3,0

so the points are (1 , -3) and ( 4 , 0)

Plot these on graph and we get the straight line .

For equation  [tex]y = x^{2} -4x[/tex]

As we know it is of type of parabola with shifted centre.

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Answer:

Option C:

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

Now that we solved for x, we can plug it back into each equation to solve for each angle.

The answer is Option C:

The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

As we know with the help of associative property we can group the terms of addition or multiplication.

a + (b + c) = (a + b) + c

Option (C)

= (2 + 3) + 4

After using the associative property:

= 2 + (3 + 4)

Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

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Answer:

3. Definition of Midpoint

4. VAT, Vertical Angles Theorem

5. ASA, Angle-Side-Angle Theorem

The height of the volume of the container is 93.898cm.

We have given that,

An oatmeal container has a volume of 269 cubic inches.

Volume=269 cubic inches.

Radius=3cm

[tex]V=\pi r^2h[/tex]

[tex]269=\pi (3)^2h\\\269=9\pi h\\\h=\frac{269\pi }{9}\h=93.89871[/tex]

The height of the volume of the container is 93.898cm.

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

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Answer:

Bags with zip = (bag with button and zip) + (bag with no button but only zip)

i.e.,

Rotal bags – (bags with neither of two + bags with only buttons)

=> 140-(39+23)

=> 140-62

=> 78

So, 78 bags have zips on them.

Answer:

7/20

Step-by-step explanation:

To add fractions, the first step is to get a common denominator

1/4 + 1/10

The common denominator is 20

1/4 *5/5 = 5/20

1/10 *2/2 = 2/20

5/20 + 2/20 = 7/20

The slope and y-intercept will be the negative 5/2 and 4.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

y > -(5/2)x + 4

The slope and y-intercept will be the negative 5/2 and 4.

The graph is also attached below.

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Answer:

The correct option is 3.

Step-by-step explanation:

It is given a graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.

The equation of a solid line is:

[tex]y-y_{1} = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } (x-x_{1})\\ y+2= \frac{1+2}{2-0}(x-0)\\ y+2= \frac{3}{2} x[/tex]

The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.

Check the related equation by point (0,0).

0+2 =[tex]\frac{3}{2}(0)[/tex]

2 = 0

The statement is true if and only if the sign is greater than or equal instead of equal.

The required inequality is

[tex]y+2 \geq \frac{3}{2}x[/tex]

Multiply both sides by 2.

[tex]2y + 4 \geq 3x\\4\geq 3x-2y\\3x-2y \leq 4[/tex]

Therefore option 3 is correct.

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Answer:

in the attachment

Step-by-step explanation:

Given: Piece-wise function graph.

We need to find the function.

In the graph, we can see a two-piece

For -3≤x≤0

Endpoints on graph (-3,-6) and (0,0)

It is the horizontal line. The equation of the horizontal line is y=k.

Equation: y=3

Now, we write as a piecewise function.

First blank = 2x

Second Blank = 3

hope this helps:)

Answer:

Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.

Hope it helps!

Answer:

'Cause he didn't use the inverse operation! ^^

Step-by-step explanation:

Heres the correct way to solve it:

x-13=26

x=26+13

x=39

The correct way is to add 13 to both sides and not subtract.

--

Hope that this helped! Best wishes.

--

12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.

The people at positions 3 and 15 are directly opposite each other.

Then the number of the people are sitting at the table will be

1 is opposite to 13

2 is opposite to 14

3 is opposite to 15

Similarly, 12 will be opposite to 24.

Then the number of the people are sitting at the table will be 24.

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Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

For more about volume of cylinder, do check out the following!

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..

(-∞,∞)

Set-Builder Notation:

{x|x∈ℝ}

The range is the set of all valid yy values. Use the graph to find the range…

Interval Notation:

(-∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range…

Domain: (−∞,∞),{x|x∈R}

Range:   (−∞,∞),{y|y∈R}

Answer:

{ 5, 8, 11 }

Step-by-step explanation:

the range is the corresponding values of f(x) for the values of x in the domain.

substitute the x- values from the domain into f(x)

f(1) = 3(1) + 2 = 3 + 2 = 5

f(2) = 3(2) + 2 = 6 + 2 = 8

f(3) = 3(3) + 2 = 9 + 2 = 11

range is { 5, 8, 11 }

The length of the diagonal LN would be 8.60 units.

To find the distance between the two coordinates, We use distance formula ;

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Lets put the values of L and N,
d= [tex]\sqrt{(0 - -5)^2 + (-3-4)^2}[/tex]

d =[tex]\sqrt{25+49}[/tex]

d= [tex]\sqrt{74}[/tex]

d= 8.60 units

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Answer:

[tex]8^{\frac{x}{3} }[/tex]

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

Answer:

8 + 7.

Step-by-step explanation: It is absolute value.

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:

x = 4500 × (1 - 76/100)

x = 1080

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

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The value of x in the second matrix is -1

The operation is given as:

[tex]\left[\begin{array}{ccc}2&-1&1\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}4&11&5\end{array}\right] \to \left[\begin{array}{ccc}0&-3&x\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}-18&11&5\end{array}\right][/tex]

Let the rows be represented by R1, R2 and R3.

By observation, the row operation performed is:

[tex]R1 \to R1 - 2R2[/tex]

This means that:

The new elements of row 1 are gotten by subtracting twice the elements of row 2 from row 1.

Using the above operation, we have:

x = 1 - 2 * 1

Evaluate the difference

x = -1

Hence, the value of x is -1

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Answer:

The formula for an arithmetic sequence is:

an = a1 + (n - 1)d

In which a1 is the first term and d is the common difference.

a) 12, 10, 8, 6, 4

an = 12 + (n - 1)-2

an = 12 -2n + 2

an = -2n + 14

b) 25, 20, 15, 10, 5

an = 25 + (n - 1)-5

an = 25 -5n + 5

an = -5n + 30

Answer:

207

Step-by-step explanation:

Denise has 46(7/2) = 161 cherries.

So, they have a total of 161 + 46 = 207 cherries

Answer:

You have not added a picture soi can not help answer this question.

Step-by-step explanation:

Add the picture by either taking a photo or screenshot of the question then upload it.