Line segment AB = 12, its image after a dilation is 36. What is the scale factor of the dilation?

Answer: y = -5x + 6

Step-by-step explanation:

First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

So, to use this formula, you pick two points from the line that you're given and solve for m.

Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{6-1}{0-1}[/tex]

[tex]m=\frac{5}{-1}[/tex]

[tex]m=-5[/tex]    So, the slope is -5

Then, we need to find the y intercept, which would be b in the formula.

We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.

Now let's put everything together:

y = mx+b

y = -5x + 6

Answer:

d = √17, meaning that the number that goes beneath the radical symbol is 17.

Step-by-step explanation:

Refresh if you are unable to see below.

[tex]\text{Use the distance formula.}\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\text{Substitute the points.}\\d=\sqrt{(3-(-1))^2+((-1)-(-2))^2}\\\text{Subtract.}\\d=\sqrt{(4)^2+(1)^2}\\\text{Evaluate the powers of 2.}\\d=\sqrt{16+1}\\\text{Add.}\\d=\sqrt{17}[/tex]

Answer:

50% for all of em

Step-by-step explanation:

Answer:

Perimeter = 9x + 6

Step-by-step explanation:

Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2

Perimeter = 9x + 14 + 5 - 1 - 10 - 2

Perimeter = 9x + 19 - 13

Perimeter = 9x + 6

Answer:

Ramon will run 1/9 of a mile.

Step-by-step explanation:

The relay race is 1/3 of a mile and there are three of them in his relay squad, himself and his two friends.

If three of them finish each sector and each sector is the same, that means that each of the members will run a third of that distance.

[tex]\frac{1/3}{3}\\=\frac{1}{3} (\frac{1}{3} )\\=\frac{1}{3(3)}\\=\frac{1}{9}[/tex]

Answer:

She ate 1/10 of the pizza.

Hope this helps!!

The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

To correctly model the expression -2/6 + (5/6) on a number line, we can use the following steps:

So to model the expression -2/6 + (5/6) on a number line, we start at 0 and move 1/3 to the left, to represent -2/6, and then move 5/6 to the right to represent 5/6. The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

Learn more on number line here: https://brainly.com/question/22046767

#SPJ1

Answer:

Starting is 10 going up by 5x

Step-by-step explanation:

When you look at a graph there is a y and x axis's. 10 is on the y axis and its going up by 5x.

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

See below

Step-by-step explanation:

Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6

Answer:

Hello! answer:

Deborah is 27

Sarah is 31

Step-by-step explanation:

31 - 27 = 4 31 + 27 = 58 therefore x = 27 and y = 31 Hope that helps!

Age of Sarah is 31 and age of Deborah is 27.

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.

Given, Deborah is x years old and Sarah is y years old. The sum of their ages is 58. If Deborah is 4 years young then Sarah is. Hence,

Deborah's age + Sarah's age = 48

x + y = 48

Also given, Sarah's age = Debora's age + 4

y = x +4

comparing both equations.

x = 27 and y = 31

Therefore, the age of Deborah is 27, and age of Sarah is 31.

Learn more about proportionality here:

https://brainly.com/question/29082140

#SPJ2

Answer:

If no time is spent on homework, the test grade is approximately 72.

Step-by-step explanation:

The y-intercept of the line can be interpreted if no time is spent on homework, the test grade is approximately 72.

A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis.  The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero.

If x is zero, y = 0 + 72

To learn more about graphs, please check: https://brainly.com/question/21527145

#SPJ2

There are total 12 lines of symmetry may be found in the image.

We have to given that;

A image is shown in figure for find the lines of symmetry .

Since, We know that;

Exactly dividing a form in half, a line of symmetry exists. This indicates that the form would fold perfectly in half if you did so along the line.

Hence, By definition of line of symmetry we get;

There are total 12 lines of symmetry may be found in the image.

Thus, The correct answer is,

⇒ 12 line of symmetry

Learn more about the line of symmetry visit:

https://brainly.com/question/109377

#SPJ6

Answer:

4305

Step-by-step explanation:

9514 1404 393

Answer:

  $7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

  15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

The side lengths are;

tan x = e/f

cos x = e/d

sin x = f/d

We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.

There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.

The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.

Learn more about right angle;https://brainly.com/question/343682

#SPJ1

Answer:

78 ft x 1 in/ 13 in = 6 ft

1 inch represent 6 ft

Answer and Step-by-step explanation:

The kite area formula:

A = [tex]\frac{pq}{2}[/tex]

P = Line RP

Q = Line QS

A = [tex]\frac{38 + 16}{2}[/tex] = [tex]\frac{54}{2}[/tex] = 27

27 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

pro tip: crop your screen before you post it....

I think it's B

I did this 2 years ago in middle school

Answer:

Step-by-step explanation:

There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.

First, find the area of the triangles.

In this figure, there are two triangles with heights of 12 and bases of 18.

[tex]12 * 18 = 216[/tex]

Then, multiply the product by 1/2.

[tex]216 * 1/2 = 108[/tex]

There are two triangles, so multiply, the product, 108, by 2.

[tex]108*2 = 216[/tex]

The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.

Secondly, find the area of the rectangles.

There are two rectangles with widths of 25 and lengths of 15.

[tex]25*15 = 375[/tex]

There are two rectangles, so multiply the product, 375, by 2.

[tex]375*2 = 750[/tex]

The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.

Lastly, we find the area of the rectangle in the middle.

This rectangle has a length of 18 and a width of 25.

18[tex]18*25 = 450[/tex]

The area of this rectangle is 450 cm.

Lastly, add the areas of all the shapes.

[tex]108 + 108 + 375 + 375 + 450 = 1,416.[/tex]

Therefore, the area of this figure is 1,416 cm².

Answer:

D

Step-by-step explanation:

Frank is at point G: (-6,-1)

Jimmy is at point B: (4,1)

Answer:

To determine which loan will have a higher balance at the time of repayment, we need to calculate the balance of each loan after the interest has been compounded over the repayment period.

The unsubsidized Stafford Loan has an annual interest rate of 3.85% and a grace period of six months from the time of graduation. This means that the loan will accrue interest for a total of 12 months - 6 months = 6 months.

The balance of the unsubsidized Stafford Loan at the time of repayment can be calculated using the following formula:

Balance = Principal * (1 + Interest rate / Number of compounding periods per year)^(Number of compounding periods)

Plugging in the given values, we have:

Balance = $10,958 * (1 + 0.0385 / 12)^(6) = $10,958 * (1.003125)^(6) = $11,283.16

The PLUS loan has an annual interest rate of 4.15% and a balance of $11,421.51 at the time of repayment.

The balance of the PLUS loan at the time of repayment can be calculated using the same formula:

Balance = $11,421.51 * (1 + 0.0415 / 12)^(6) = $11,421.51 * (1.003479)^(6) = $11,973.54

Therefore, the PLUS loan will have a higher balance at the time of repayment, by $11,973.54 - $11,283.16 = $690.38.

Step-by-step explanation:

The surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have a composite figure shown in the picture.

As we can see in the picture the composite figure is made up of two figures.

The first one is a rectangular prism

Second one is a triangular prism.

The surface area of the composite figure:

= area of the two triangle shapes + area of the two rectangles in triangular prism + surface area of the rectangular prism - (12x5)

= 2(1/2)12x10 + 2(10x5) + 2(4x5 + 12x5 + 12x4) - 12x5

= 120 + 2(50) + 2(20 + 60 + 48) - 60

= 120 + 100 + 2(128) - 60

= 120 + 100 + 256 - 60

= 416 square cm

Thus, the surface area of the composite figure is 416 square cm because the composite figure is made up of two figures.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ5

Answer:

4x +2

Step-by-step explanation:

4( x + 2)

= 4*x +4*2

= 4x +2

Answer:9/40

Step-by-step explanation:

3/4=10/3x

3/4*3/10=x

9/40=x

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = CE/AE=5/8

m(∠CAE) = tan-1 (5/8)

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = BE/AE

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft          

Therefore, the total height of the silo is 18 ft.

3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9

Answer:

3/4 > 1/5

6/9 > 2/5

6/7 > 3/10

2/11 < 4/9

Step-by-step explanation:

Manera facil de comparar fracciones:.

3/4    1/5

Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.

El numero mas grande esta arriba de la fraccion mas grande.

5 x 3 = 15 arriba  de 3/5

4 x 1 = 4 arriba de 1/5

Como 15 > 4, 3/4 > 1/5

30      18

6/9    2/5

6/9 > 2/5

 60     21

6/7    3/10

6/7 > 3/10

18       44

2/11   4/9

2/11 < 4/9

On solving the provided question, we can say that - the value of the percentage = 1/10; 12/100

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

10%; 12%; 22% and 24%

1/10; 12/100; 11/50 and 6/25

To know more about percentage visit:

https://brainly.com/question/29306119

#SPJ1