A(-5, 2)
-10-8-6-4-2
10
↑リ
8
64
2
2
4.
6
-8
-10
B(1,6)
2
4
6 8 10
D(3,-10)
C(9,-6)
What is the area of rectangle ABCD?
O 43 units²
52 units²
O104 units²
O208 units²

Answer:

-34

Step-by-step explanation:

Remove all brackets by multiplying the existing math signs then take it from there

(15-10)-(14+12+ (8+5)​

5 - (14 + 12 + (8 + 5)

5 - (14 + 12 + 13)

5 - 39

-34

The input values for each of the given functions are as outlined below.

Input values are also defined as domain which is the set of input values for which the function is defined. Thus, let us look at each of the given functions;

1) g(f) = 2f. The input value here is f

2) f(h) = h - 7. The input value here is h.

3) h(g) = -4 + g. The input value here is g

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Answer: [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

343 is equal to 7 to the power of 3.

49 is equal to 7 to the power of 2.

You can then make the equation:

[tex](7^{3})^x = (7^2)^{4-x}[/tex]

The powers law means if something is to the power of something, it is multiplied.

So, we can remove the 7 and make the equation:

3x = 2(4-x)

3x = 8 - 2x

5x = 8

x = [tex]\frac{8}{5}[/tex]

You can verify this by plugging it in,

[tex]343^{8/5} = 11388.6066[/tex]

[tex]49^{4-(8/5)} = 11388.6066[/tex]

Answer:

[tex]x = \frac{y - 5}{3}[/tex]

Step-by-step explanation:

Hello!

To solve for x, we have to first isolate the variable.

The value of x is [tex]\frac{y - 5}{3}[/tex].

The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The graph is given below.

The graph is a linear equation.

Then the equation of linear system in the form of inequality will be

The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be

y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)

y – 2 ≥ – x

x + y ≥ 2

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Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

[tex]\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }[/tex]

                                                       [tex]\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}[/tex]

[tex]\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}[/tex]

                                                                 [tex]\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}[/tex]

Answer:

see below

Step-by-step explanation:

Here is another way

1/3 book / hr   *  2 1/5 hr =

1/3 * 11/5 = 11/15 read in 2 1/5 hr    

1/3is the same as 5 /15          

   11/15 - 5 /15 = 6/15 = 2/5 more read in 2 1/5 hr that 1/3 hr

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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The equation D = 1.5x/y represents the total distance traveled in km in terms of x.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

On the first journey, a cyclist traveled 1 1/2 km in x minutes.

As we know,

Speed = distance/time

Distance = 1 1/2 = 3/2 km = 1.5 km

time = x

Speed = 1.5/x

On the second journey, the same cyclist traveled for y hours at the same average speed as on his first journey.

Distance = speed×time

Distannce(D) = (1.5/x)(y)

D = 1.5x/y

Thus, the equation D = 1.5x/y represents the total distance traveled in km in terms of x.

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Answer:

[tex]\large \boxed{\sf 16}[/tex]

Explanation:

[tex]\Rightarrow \sf \sqrt{121} + \sqrt[3]{125}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11 \ x \ 11} + \sqrt[3] {\sf5 \ x \ 5 \ x \ 5}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11^2} + \sqrt[\sf 3] {\sf 5^3}[/tex]

[tex]\Rightarrow \sf 11 + 5[/tex]

[tex]\Rightarrow \sf 16[/tex]

I hope this help you . the concept of sure and cube roo

Answer:

7

Step-by-step explanation:

OK, so we're looking for the index in the fourth column and the fourth row

which is gonna be 7 if you count correctly

The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.

The ratio is the representation of the fraction where the fraction is represented by : symbol.

In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.

Here given two ratios are 7:16 and 6:8.

The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.

similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.

As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.

Then multiply 2 in both denominator and numerator of 6:8 will be

6/8= 12/16

Now comparing between 12/16 and 7/16

12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.

Then 6:8 is also greater than 7:16.

So by checking all the options

Option A  is correct:  from above i is clear that the ratio 7 to 16 should show 7 cells shaded.

Option D is correct: 6:8 is also greater than 7:16.

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The solution to the complex inequality as in the task content is; -2 < x <= 1.

The inequality in discuss is; -5<4x+3 <= 7.

Hence, solving the inequalities separately; we have;

-5 < 4x +3

-8 < 4x

-2 < x

Also; 4x+3 <= 7

4x <= 4

x <= 1.

Ultimately, the solution to the inequalities is;

-2 < x <= 1.

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Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

The set that best describes the universal set U is; U = {keys on a keyboard }

We are told that S is a subset within a universal set U.

Now, from the subset S = (x, y, 4, 9, ?), we will need to find among the given sets the one that describes the best set.

From the subset, we see that the Universal set will be keys on a key board due to the fact that the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set.

Therefore U = {keys on a keyboard } will be the correct answer.

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Answer: 44

What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?

[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!

[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.

As stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.

Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.

The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.

Write this equation down and use your calculator to solve for x:

      *make sure your calculator is in degrees*

tan (54°) = [tex]\frac{x}{32}[/tex]

32 × tan (54°) = x

44.04 ≈ 44 =x

answer is 2 ⅓

Explanation

Length of arc = circumference of the base of the

cone

is β/360 x 2πR=2πr

make r the subject of formula

r =βR/360

r=60 x 14/360

r=2⅓cm

please mark as brainliest if i am right

Answer:

[tex]\boxed{a_{n} = 2(4n - 5)}[/tex]

Step-by-step explanation:

Given :

⇒ a = -2

⇒ d = 14 - 6 = 8

Formula for nth term :

[tex]\boxed {a_{n} = a + (n-1)d}[/tex]

Solving :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

⇒ aₙ = 2(4n - 5)

Answer:

  yes

Step-by-step explanation:

The commutative property of addition applies to let you swap the order of the summands.

__

Here is how the commutative property can be applied.

  5x = 3 -x . . . . . given

  5x = (3) +(-x) . . . . shown as a sum

  5x = (-x) +(3) . . . . order swapped using commutative property of addition

  5x = -x +3 . . . . . . equivalent equation

Answer:

4x10 8x5

Step-by-step explanation:

Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

a) y=6x

The above function is a linear function

b) y=3/x

or

xy = 3

The above function shows an inverse variation.

c) y=1/3x

or

y = (1/3)x

The above function is a linear function

d) y= -.07x

The above function is a linear function

e) y= 2/x+4

or

y = (2+4x)/x

xy = 2 + 4x

The above function shows an inverse variation.

f) xy=-3

The above function shows an inverse variation.

Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

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For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

If the two of the given system of equations are plotted on the graph, then it can be observed that the two lines have different slopes. Therefore, the correct option is A.

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Answer:

3 square units

Step-by-step explanation:

Use BC as the base   =   2

   Use y -axis to C   (or B) as the height =  3

Area of triangle = 1/2  * base * height = 1/2 * 2 * 3 = 3 units^2

The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

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Answer:

point C

Here is a step-by-step explanation of the statement:

1. Draw a point B and a point C on a piece of paper or a computer screen.

2. Draw a straight line that goes through both point B and point C.

3. Fold the paper along the line you just drew, so that the line is the fold line.

4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.

5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.

6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.

The system of equations are:

$12p + $3a = $258

a - p = 6

Where:

Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.

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Answer:

Mikaela's team scored 5.3 points, in whole number form 5.

Step-by-step explanation:

If Viktoria's team's score was 7, 2 more than twice is (7*2) +2.

(7*2)+2=16

16 is three times Mikaela's team's score. Reduced by three means just to divide.

16/3=5.3

Mikaela's team scored 5 points.

Hope this helps!

If not, I am sorry.

Answer:

8

Step-by-step explanation:

Make it into an equation.

2x+2=(3x7)-3

2x+2=21-3

2x+5=21

2x=16

x=8

8

Answer: -50

Step-by-step explanation:

5 - 6 / 5p = 125 degrees

1/2p = ?

First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.

-6/5p = 125-5 degrees

-6/5p = 120 degrees

now, multiply 5p on both sides.

-6 = 120 * 5p degrees

-6 = 600p degrees

divide 600 on both sides

-6/600 = p degrees

-0.01 = p degrees

p = -0.01

1/2p = 1 / -0.02 = -50

Hope I helped!

Answer:

9(x - 5)

Step-by-step explanation:

Just write the equation according to the sentence. It's THAT SIMPLE.

Answer:

d

Step-by-step explanation:

The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467

From the list of numbers, we have:

The probability that a 4 shows up is then calculated as:

P = n(4)/Sides

This gives

P = 1/5

Evaluate

P = 0.2

In the list of numbers, we have:

The proportion of 3's rolled is then calculated as:

P = Number of 3's/Total

This gives

P = 7/15

Evaluate

P = 0.467

Hence, the proportion of 3's rolled is 0.467

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Answer:

4 × 4000 = 16000cm or 160 meters