Solve for h in the literal equationg g ( h +3/2)=7

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

2$/1 bottle   Hope this helps please mark brainliest and thanks!

Step-by-step explanation:

y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:

answer b

Step-by-step explanation:

5.50 is part of 2500

Answer:

x = - 1

Step-by-step explanation:

Given

- 5x - 16 = 9x + x - 1, that is

- 5x - 16 = 10x - 1 ( subtract 10x from both sides )

- 15x - 16 = - 1 ( add 16 to both sides )

- 15x = 15 ( divide both sides by - 15 )

x = - 1

Answer:

We can start by using algebra to represent the information given in the problem. Let x be the amount of money the burglar stole initially.

According to the problem, when the burglar gave half of the money plus $2,000 to the first guard, he was left with x/2 + 2000.

When he gave the same amount to the second guard, he was left with (x/2 + 2000)/2 + 2000.

And when he gave the same amount to the third guard, he was left with ((x/2 + 2000)/2 + 2000)/2 + 2000.

But we know that he left with $9,000 more than he had when he arrived, So we can say:

((x/2 + 2000)/2 + 2000)/2 + 2000 = x + 9000

We can now solve for x:

x = (900022*2 - 6000)/3

x = 36000/3

x = 12000

So the burglar stole $12000 in the first place.

Answer:

What are the options? Which scenario?

Step-by-step explanation:

Answer:

any senerio??

Step-by-step explanation:

Both the gongs will strike together at 3 pm.

Given,

Two gongs strike at intervals 90 and 60 minutes respectively.

Use LCM to find at what time they will strike together

Using prime factorization:

LCM of (60,90)=\(2^2*3^2*5=4*9*5=180\)

They will strike together after 180 minutes i.e. 3 hours

Hence, if they start simultaneously at 12 noon then they will strike together again at 3 pm

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The letter of the 3D figure which matches the statement of the student with regards to the surface areas of the figures are;

The net of this triangular prism covers the smallest total surface area; B

The lateral surface area is 96.6 unit²; C

The total surface area is 111.6 units²; C

The lateral surface area is 85.56 unit²; A

The total surface area is 103.96 unit²; A

The net of this triangular prism covers the largest lateral surface area; C

The surface area of a three dimensional, (3D), figure is the area of the boundary surface that surrounds the space occupied by the figure.

The surface areas and the lateral surface areas of the nets and the prisms are presented as follows;

Figure A;

Surface area = 2×(1/2)×4.6×4 + 3×6.2×4.6 = 103.96

The lateral surface area = 3×6.2×4.6 = 85.56

Figure B;

Surface area = 2×(1/2)×4×3.8 + 2×4.3×6 + 4×6 = 90.8

The lateral surface area = 2×4.3×6 + 4×6 = 75.6

Figure C;

Surface area = 2×(1/2)×5×3 + 5×7 + 3×7 + 5.8×7 = 111.6

The lateral surface area = 5×7 + 3×7 + 5.8×7 = 96.6

Therefore;

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Answer:

Your solution is (1, -4)

Step-by-step explanation:

The equations both equal y, so you can set them equal to each other.

y = -4x

y = -3x - 1

-4x = -3x - 1

add 3x to both sides

-x = -1

divide both sides by -1 for x to be positive

x = 1

plug x back in

y = -4(1)

y = -4

y = -3(1) - 1

y = -3 - 1

y = -4

Your solution is (1, -4)

Answer:  384 ft^2

Step-by-step explanation:

Like it said  set up a proportional equation and solve for dimensions in feets.

The scale factor saids   0.75 in = 2 ft  

And the dimensions are   6 in by 9 in  

Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .  

\(\frac{0.75}{6} = \frac{2}{x}\)         Solve by cross multiplying

0.75x = 12  

x = 16  

\(\frac{0.75}{9} = \frac{2}{x}\)         Cross multiply

0.75x = 18

x = 24          

Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .

16 * 24 = 384 ft^2

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

0.25

Step-by-step explanation:

scale factor=md/od

=0.5/2

0.25

Answer:

24

Step-by-step explanation:

i dont know if its correct

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer:

yes it does

17 is the longest side.

Iff  Iff 17%5E2+=+8%5E2+%2B+15%5E2 it's a right triangle.  it's a right triangle.

Ps "iff" means if and only if

hope it helps

if so please mark me  as brainliest

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

yes

Step-by-step explanation:

you have to use trigonometry to find the area of a parallelogram without the height.

the formula is: Area = ab(sin(x))

Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.

Answer:

C

Step-by-step explanation:

I think, the formatting is a bit weird and I don't see an A option, but 52 and 212 are not mixed numbers, but 2.3 can be written as 2 3/10 and etc so it is!

Answer:

12 this is da a answer

12 twelve

The following is deduced from the equation f(x)=(x - 1)^3 + 5

Horizontal shift: 1 left

Vertical shift: 5 down

Vertical stretch factor: 1

Vertical compression factor: 1

Axis of reflection: -x + 6

Domain: all real numbers

Range: all real numbers

Inflection Point: (1, 5)

The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.

The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.

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The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Answer:

A

Step-by-step explanation:

Hopefully this helps

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

Answer:

m = 1/2

Step-by-step explanation:

The given equation of line is :

2x – 4y = 9 ..(1)

We need to find the slope of the line. The general equation of a line is given by :

y = mx + c ..(2)

Where

m is the slope of line

Equation (1) can be rearranged as follow :

-4y = 9-2x

4y = -9+2x

or

4y = 2x-9

Divide both sides by 4.

\(\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})\) ..(3)

Now comparing equation (2) and (3) we get :

\(m=\dfrac{1}{2}\)

So, the slope of the line is 1/2.

Answer:

the required number of telephone orders to complete the 400 interviews is 3433

Step-by-step explanation:

Given the data in the question;

Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.

Thus, The working phone numbers = 70% × Y

Now, number of ATM users = 45% × The working ph0ne numbers

⇒ 45% × ( 70% × Y )

number of ATM users = 0.45 × 0.70 × Y = 0.315Y

Thus; Number of people contacted that agrees to complete the survey will be;

⇒ 37% × number of ATM users

⇒ 0.37 × 0.315Y = 0.11655Y

so, since the researcher needs at least 400 interviews

Hence;

0.11655Y ≥ 400

Y ≥ 400 / 0.11655

Y ≥ 3432.0034 ≈ 3433

Therefore, the required number of telephone orders to complete the 400 interviews is 3433

Answer:

\(sqrt{-64} =8i\\\\sqrt{-15} =isqrt{15} \\sqrt{-100} =10i\\sqrt{-25} =2i\sqrt{6}\)

Step-by-step explanation:

I hope this helps

An exponential function is a function in which the independent variable x appears as an exponent.

a is the y-intercept.

b is the rate of change.

The function is exponential growth when b > 1.

The function is exponential growth when b < 1.

y-intercept is the initial value of the function when x is equal to 0.

Asymptote is the line that the function approaches but does not cross.

In Mathematics, an exponential function can be modeled by using this mathematical expression:

f(x) = ab^x

Where:

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch or cross.

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