You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.

Answer:

4

Step-by-step explanation:

2/3 x 6 = (2)(6)/3 = 4

Answer:

2/3*6

2*2

4

Step-by-step explanation:

i have done directly

divide 6/3 ans will come 2

and multiply both 2

ans will come 4

Answer:Given the two points you entered of (-4, -3) and (-2, 0), we need to calculate 8 items:

Item 1: Calculate the slope and point-slope form:

Slope (m)  =   y2 - y1

  x2 - x1

Slope (m)  =   0 - -3

  -2 - -4

Slope (m)  =   3

  2

Calculate the point-slope form using the formula below:

y - y1 = m(x - x1)

y - -3 = 3/2(x + 4)

Item 2: Calculate the line equation that both points lie on.

The standard equation of a line is y = mx + b where m is our slope, x and y are points on the line, and b is a constant.

Rearranging that equation to solve for b, we get b = y - mx. Using the first point that you entered = (-4, -3) and the slope (m) = 3/2 that we calculated, let's plug in those values and evaluate:

b = -3 - (3/2 * -4)

b = -3 - (-12/2)

b  =   -6

  2

-

-12

2

b  =   6

  2

This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 6

Our reduced fraction is:

1

0.33333333333333

Now that we have calculated (m) and (b), we have the items we need for our standard line equation:

y = 3/2x + 3

Item 3: Calculate the distance between the 2 points you entered.

Distance = Square Root((x2 - x1)2 + (y2 - y1)2)

Distance = Square Root((-2 - -4)2 + (0 - -3)2)

Distance = Square Root((22 + 32))

Distance = √(4 + 9)

Distance = √13

Distance = 3.6056

Item 4: Calculate the Midpoint between the 2 points you entered. Midpoint is denoted as follows:

Midpoint =

x2 + x1

2

,

y2 + y1

2

Midpoint =

-4 + -2

2

,

-3 + 0

2

Midpoint =

-6

2

,

-3

2

Midpoint = (-3, -3/2)

Item 5: Form a right triangle and calculate the 2 remaining angles using our 2 points:

Using our 2 points, we form a right triangle by plotting a 3rd point (-2,-3)

Our first triangle side = -2 - -4 = 2

Our second triangle side = 0 - -3 = 3

Using the slope we calculated, Tan(Angle1) = 1.5

Angle1 = Atan(1.5)

Angle1 = 56.3099°

Since we have a right triangle, we only have 90 degrees left, so Angle2 = 90 - 56.3099° = 33.6901

Item 6:  Calculate the y intercept of our line equation

The y intercept is found by setting x = 0 in the line equation y = 3/2x + 3

y = 3/2(0) + 3

y = 3

Item 7: Determine the parametric equations for the line determined by (-4, -3) and (-2, 0)

Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a)

Plugging in our numbers, we get

(x,y) = (-4,-3) + t(-2 - -4,0 - -3)

(x,y) = (-4,-3) + t(2,3)

x = -4 + 2t

y = -3 + 3t

Calculate Symmetric Equations:

x - x0

z

y - y0

b

Plugging in our numbers, we get:

x - -4

2

y - -3

3

Step-by-step explanation:

The distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by the distance formula:

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Using this formula, we can find the distance between (-4, -3) and (-2, 0) as follows:

D = √ [ ( 0 + 3)² + (-2 + 4 )² ]

D= √(2² + 3²)

D = √(13)

D ≈ 3.6

Therefore, the distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

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Answer:

8 = 2m + 4

2m = 4, so m = 2

So the equation of this line is y = 2x + 4.

D is the correct answer.

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Answer:

Volume = 528cm³

Step-by-step explanation:

V. of the 1st figure: 56×9 = 504cm²

V. of the 2nd figure: 6×4×1 = 24cm²

Total: 504+24 = 528cm²

Hence, v = 528cm³

I hope this helps.

Answer:7

Step-by-step explanation:

Transformation is the process of changing one form or structure into another. Here are some key points about transformation:

• Physical transformations involve changing the physical properties of an object, like shape, size, state of matter, etc. Some examples are cutting, bending, melting, freezing, dissolving, combining substances, etc.

• Chemical transformations involve changing the chemical composition of a substance, forming new substances with different properties. Some examples are chemical reactions that produce new compounds, oxidation reactions, decomposition, synthesis reactions, etc.

• Biological transformations occur within living organisms through processes like development, growth, metabolism, adaptation, and evolution. These changes occur over time and at the cellular or molecular level.

• Mathematical transformations involve applying operations or functions to mathematical objects like numbers, vectors, matrices, etc. to produce new outputs. Common transformations include translation, rotation, reflection, scaling, and projection.

• Information transformations occur when data is manipulated, organized, or changed. Examples are data compression, encryption, encoding, classification, and filtering of information.

• Conceptual transformations refer to changes in a person's knowledge, understanding, perspectives, beliefs, attitudes, or behavior. Things like experiences, education, and realizations can cause conceptual transformations.

The key aspects of any transformation are that there is an initial state or form that undergoes some change process resulting in an altered final state or form. There are often changes to properties, composition, structure, or relationships involved.

Hope this explanation of transformation helps! Let me know if you have any other questions.

Transformation can refer to a marked change in form, nature, or appearance. It can also refer to a process by which one figure, expression, or function is converted into another one of similar value.

Step-by-step explanation:

\(2\sqrt{ - 3} \)

Answer:

81 degrees

This is an acute angle since it’s less then 90 degrees

Step-by-step explanation:

All three angles of a triangle always equal 180 degrees

180-(78+31)

180-109

81 degrees

Hopes this helps please mark brainliest

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

a^2 + 16^2 = 20^2

a^22 + 256 = 400

then subtract 256 from 400

a^2 = 144

square root 144

= 12

Answer:

12 units  

Step-by-step explanation:

Answer:

we know that

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant

so

the x-coordinate is negative

the y-coordinate is negative

240°=180°+60°

60 degrees is the angle to find the terminal point

let

∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is

-1/2,-√3/2

the answer is the option A

Step-by-step explanation:

The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.

An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.

For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.

In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.

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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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Answer: $0.35/ounce

Step-by-step explanation: Since there are 6 ounces, you measure the unit cost in ounces, and since there is 6 you divided 6 by 210 = 35. We convert back to money and get $0.35 an ounce.

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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The volume of the rectangular pyramid is 64 cubic feet.

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

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The correct question is:

your right Step-by-step explanation:

The measure of TW from the given triangle TUV is 35 units.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Given that, in triangle TUV, Y is centroid if YW=5b and TY=4b+14.

The centroid is positioned inside a triangle. At the point of intersection (centroid), each median in a triangle is divided in the ratio of 2:1.

Now, TY/YW =2/1

(4b+14)/5b =2/1

10b=4b+14

6b=14

b=14/6

b=7/3

Now, TW=YW+TY

TW=5b+4b+14

TW=9b+14

Substitute, b=7/3 in TW=9b+14, we get

TW=9×7/3+14

= 21+14

= 35

Therefore, the measure of TW is 35 units.

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Answer:

210

Step-by-step explanation:

=2x-3y+4z

=2×10-3×(-12)+14×11

=20+36+154

210

The value of expression is 210.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is 2x – 3y + 4z

The value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11 is

=2x-3y+4z

=2×10-3×(-12)+14×11

=20+36+154

210

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-\(\sqrt{3}\) is the exponent of the power function.

The power function is generally just f(x) = c x^p for some constant c and some real number exponent p. (It can only be defined for positive values ​​of x.) For example, the square root function f(x) = √x is a power function with p = 1/2.

In this case, N=kA‾‾√3 , -\(\sqrt{3}\) is the exponent of this function.

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b to the n".

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The exponent of the power function is 1/2.

How often we are multiplying a number by itself is indicated by its exponent. To multiply 3 four times, for instance, we get 34. It is 3333 in its enlarged form. A number's power is another name for an exponent. It may take the form of an integer, a fraction, a negative integer, or a decimal.

A fractional exponent is one where the exponent of a number is a fraction. Parts of fractional exponents include square roots, cube roots, and nth roots. Square root of the base is a number having a power of half.

Hence we get the exponent of the function as 1/2.

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Answer:

C.) 10

Step-by-step explanation:

The numeric value of f(a) + f(h) for f(x) = x² - 5x + 3 is given as follows:

A. f(a) + f(h) = a² + h² - 5a - 5h + 6.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

f(x) = x² - 5x + 3.

Hence the numeric values are given as follows:

The only like term is the 3 for both expressions, hence the addition is given as follows:

f(a) + f(h) = a² + h² - 5a - 5h + 6.

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Explanation

Step 1

Two triangles are said to be congruent if they are of the same size and same shape.

so, the measures are equivalent

hence, the perimeter of the triangle TUV is

so, the answer is 37 ft

I hope this helps you

Answer:

099 787 989

Step-by-step explanation:

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

<95141404393>

Answer:

9.936

Step-by-step explanation:

In(x+5)*x=5

ln(x^2+5x)=5

e^5=x^2+5x

148.4131=x^2+5x

x^2+5x-148.4131=0

x is 9.936 because logs can't be negative

Answer:

Kate's age now is 30 years old and Jan's age now is 10 years old.

Step-by-step explanation:

Kate age now is 3x

Jan age now is x

3x-6=6*(x-6)

3x-6=6x-36

-3x    -3x

-6=3x-36

+36      +36

30=3x

10=x

x=10

3x=30

Kate's age now is 30 years old and Jan's age now is 10 years old.

In the long run, the market share of the local dealership is going down, as long as the percentage of sales is lower than that of the out of town dealership. On the contrary, its market share will grow if its percentage of sales is higher.

Market share is the share that a supplier of a good or service has in the total turnover on the relevant market in a certain period. If one supplier controls the entire market, it is called a monopoly. When a few providers collectively dominate the market, we speak of an oligopoly.

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Answer:

19.70

Step-by-step explanation:

For this case we have the following trigonometric relationship:

Tan (x) = (4/6)

Clearing the angle we have:

x = Atan (4/6)

x = 19.77

Rounding off we have:

x = 19.70 degrees