Determine the scale factor for the following points: (4, 2) to (16, 8)

Answers

Answer 1

Answer:

The rule of dilation by a scale factor 4 is:

(x, y)  →  (4x, 4y)

P(4, 2)  →  (4x, 4y) = (4(4), 4(2)) = P'(16, 8)

Therefore, 4 will be the scale factor.

Step-by-step explanation:

Given the point

(4, 2)

As the image coordinates of (4, 2) are (16, 8) after the scale factor, we need to determine what could be the scale factor.

Let P(4, 2) is the original point, and P'(16, 8) is the image of the point P(4, 2).

It is clear that the coordinates of the image P'(16, 8) are 4 times the coordinates of the original point P(4, 2), which means the point P(4, 2) is dilated by a scale factor of 4.

Thus, the rule of dilation by a scale factor 4 is:

(x, y)  →  (4x, 4y)

P(4, 2)  →  (4x, 4y) = (4(4), 4(2)) = P'(16, 8)

Therefore, 4 will be the scale factor.


Related Questions

i can't find anything on how to do this so pls helppp :))​

Answers

Answer:

t=75°

Step-by-step explanation:

What is the equation of the line perpendicular
to y= -2x+5 that passes through the point (2,
2)?

Answers

Answer: y = 1/2x + 1

Explanation: for a perpendicular line, take the reciprocal of the given slope. In this case, the reciprocal of -2 is +1/2.
Plug your new slope into the equation
Y = Mx+b
And then plug in the given (2,2) for the x and y coordinates. And solve for b.

Y = 1/2x + b
2 = 1/2(2) + b
1 = b

You have the new slope that we got from taking the reciprocal of the given slope, and we found our b. The equation of line perpendicular to y = -2x + 5 is:

y = 1/2x + 1

Zane bought cupcakes for his sister's birthday party. 60% of the 90 cupcakes had sprinkles on top. How many cupcakes had sprinkles?

Answers

Answer:

54

Step-by-step explanation:

Find the value of x and the measure of each angle:

1. x =

2. m∠5x + 62 =

3. m∠3x + 47 =

Answers

Answer:

Step-by-step explanation:

Find the supplement of 5x + 62

Call the supplement = z

5x + 62 + z = 180                Subtract 5x + 62 from both sides

z = 180 - (5x + 62)               Remove the brackets

z = 180 - 5x - 62

z = 118 - 5x

Add the 3 angles to 180

37 + 3x + 47 + 118-5x = 180    All triangles have 180 degrees. Combine like terms

202 - 2x = 180                        Subtract 202 from both sides

-2x = - 22                                Divide by -2

x = -22/-2

x = 11

======================

x = 11

5x + 62 = 5*11 + 62 = 55 + 62 = 117

3x + 47 = 3*11 + 47 = 33 + 47 = 80

Note these do not add up to 180. That's because 5x + 63 is outside the triangle.

The supplement of 117 = 63

37 + 63 + 80 = 180 as it should.

solve Each problem round to the nearest 10th if necessary use 3.144 pi.
What is the width of a rectangle with length 25" in area 375" squared?​

Answers

Answer:

Width, W = 15 inches

Step-by-step explanation:

Let L = length of the rectangle

Let W = width of the rectangle

Given the following data;

Area, A of rectangle = 375 in²

Length, L of rectangle = 25 in

*To find the width of the rectangle*

We know that the area of a rectangle is given by the formula;

[tex] Area = length * width [/tex]

[tex] A = L * W[/tex]

Making "W" the subject of formula;

[tex] W = \frac {A}{L} [/tex]

Substituting into the equation, we have;

[tex] W = \frac {375}{25} [/tex]

W = 15 in

Therefore, the width of the rectangle is 15 inches.

Help me please i need help.

Answers

Answer:

24in

Step-by-step explanation:

(8)(6)/2 = 24

Area=bh/2

where b=8,h=6

=8×6/2

48/2=24inches[tex]24 inches {}^{2} [/tex]

An Amazon packaging plant can ship 315 packages in 7 hours. What is the constant of proportionality that relates the number of packages shipped, y, to the number of hours, x?

Answers

Answer:

constant of proportionality is 45 packages an hour.

Step-by-step explanation:

you do 315 divided by 7. the x is hours and the y is packages.

choose the correct slope of the line that passes through the points (-4,8) and (-3, -6)

Answers

Answer:

-14x-48

Step-by-step explanation:

Which combinations of $2 coins and $5 bills have a total value of $100?

Answers

Answer:

2 times 25 and 5 times 10, then add would give u $100 in total.

Willing to Cashapp whoever can Answer this Question I created!
Must Be correct :D

Answers

Answer:

Step-by-step explanation:

69

La media aritmética de los siguientes datos son respectivamente: 1, 4, 1, 1, 4, 2, 3, 1, 4, 2Respuesta necesaria. Opción única.
(1 Punto)

Answers

Answer:

La media aritmética es 2.3

Step-by-step explanation:

Average o Promedio

El promerio, average, o valor medio es un valor representativo de un conjunto de datos y se calcula según la fórmula:

[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]

Donde xi es el valor de cada dato, y n es el número de datos.

Los datos presentados son:

1, 4, 1, 1, 4, 2, 3, 1, 4, 2

Nótese que hay un total de n=10 datos. Aplicamos la fórmula recordando que el símbolo Σ significa sumatoria:

[tex]\displaystyle \bar x=\frac{1+ 4+ 1+ 1+ 4+ 2+ 3+ 1+ 4+ 2}{10}[/tex]

[tex]\displaystyle \bar x=\frac{23}{10}=2.3[/tex]

La media aritmética es 2.3

Brainliest, thanks, five stars

Answers

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes At this rate, how many pounds of mashed potatoes can the make with 15 pounds of potatoes?

Answers

Answer:

22.5 pounds of mashed potatoes

Step-by-step explanation:

I start by dividing 15 by 10 to see how many pounds of mashed potatoes come from a single potato and get 1.5. I then multiply 1.5 times 15 (our number of potatoes) which gives me the answer of 22.5.

I NEED HELP PLEASE i would greatly appreciate it

Answers

Answer:

1. 51.2

2. 1080

3. 6.35

4. 2.7348

Step-by-step explanation:

spider knows all /╲/\╭(ರರ⌓ರರ)╮/\╱\

Hi. I need help with this question.( See image for question).
Please show working.

Answers

Answer:

the least value is in the vertex

at the point ( 2/3 , 14/3)

PLEASE HELP MEEE!!
5, 18, 6, 18, 13 find the mean absolute deviation (MAD)
(SHOW WORK)

Answers

5+18+6+18+13=60 divided by the number of numbers (5)
60/5 =12

I WILL MAKE BRAINLEST

Answers

Answer:

1 and - 2

Step-by-step explanation:

f(- 3) means what is the value of y when x = - 3

When x = - 3 the corresponding point is (- 3, 1 ) ← with y = 1, thus

f(- 3) = 1

Similarly for f(0)

When x = 0 the corresponding point is (0, - 2 ) ← with y = - 2 , thus

f(0) = - 2

Thank u to da person who is willing to help me will get this Brainliest! :3

Answers

1) use distributive property
3x - 6 + 5x + 4
8x - 2

2) 4-2x - 14 - 3
-14 - 2x

Answer:

1) x=0.25, or 1/4, 2) 6.5

Step-by-step explanation:

1)

3(x-2) + 5x+4

3x - 6 + 5x + 4

8x - 6 + 4

8x + 2

/2 /2

x= 0.25

2)

4 - 2(x+7) - 3

4 - 2x - 14 + 3

4 - 2x - 17

-2x - 13

/-2 /-2

x = 6.5

The height of a tree, h, depends on its age, a. The ______________________________ is a function of ____________________. The function notation is __ ( __ ).

Answers

Answer:

a. The height is a function of age is denoted as

 =>  f(age) = age * constant

Step-by-step explanation:

The function f: Age ⇒ Height, where age is from the set Age and height is from the set Height.

The age is the independent variable whose value determines the value of the dependent variable height and the constant is a part of the equation and a number that does not change.

height = age * constant

f(age) = age * constant  = height

Eg: if height = age * 3 , where f(5), the height or the f(age) of the height is;

     f(5) = 5 * 3 = 15,

The height is 15.

Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?

Answers

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.

a square has a perimeter of 60 m what is the length of each side?

Answers

Answer:15

Step-by-step explanation:

In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.

The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line containing the side opposite the side containing the first two vertices?

Answers

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

[tex]m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5[/tex]

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y  + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

A rectangle has a length of (x + 3) centimeters and a width of (½ x) centimeters. If the perimeter is 16 centimeters, what is the length of the rectangle. Write and solve an equation whose solution will give the length of the rectangle.

Answers

Answer:

length6.3cmwidth=1.66cm

Step-by-step explanation:

Step one:

given data

length =(x + 3)cm

width= (½ x)cm

perimeter= 16cm

Step two:

we know that the perimeter of a rectangular shape is expressed as

P=2L+2W

substitute we have

16=2(x+3)+2 (½ x)

solve for x

16=2x+6+x

16-6=3x

10=3x

divide both sides by 3

x=10/3

x=3.3

we know that length =(x + 3)cm

length =(3.3 + 3)= 6.3cm

width= (½ x)cm

width= (½*3.3)= 1.66cm

help me ASAP !
9. Solve the equation: X - 5.5 = 10.5 *
(10 Points)
x = -5
x = -15
x = 5
X = 16

Answers

Answer:

The answer is x=16

Step-by-step explanation:

hope that helps

Let's solve your equation step-by-step.

x−5.5=10.5

Step 1: Add 5.5 to both sides.

x−5.5+5.5=10.5+5.5

x=16

Answer:

x=16

Les is sending 8 identical catalogs to one of his
customers. If the package with the catalog weighs 6.72 pounds, how much does each catalog weigh.

Answers

Answer:

0.84

Step-by-step explanation:

Well if you do 6.72/8 that will give you the answer which is 0.84

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value. Why or why not.

Answers

Answer:

No.

Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct

It takes a baseball about 5 seconds to come down from up in the air after a player hits a homeroom. Suppose that the ball drops down at a rate of 6 feet per second during time. What integer represents the distance traveled by the ball during this time?

Answers

Answer:

[tex]Distance = 30\ ft[/tex]

Step-by-step explanation:

Given

[tex]Time = 5\ secs[/tex]

[tex]Speed = 6ft/sec[/tex]

Required

Determine the distance traveled

Distance is calculated from speed formula as thus:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values for Speed and Time

[tex]6 = \frac{Distance}{5}[/tex]

Make Distance the subject

[tex]Distance = 5 * 6[/tex]

[tex]Distance = 30\ ft[/tex]

Hence, the distance traveled is 30ft

The sum of two numbers is twenty-five.One number is five less than the other number. Find the larger number

Answers

The larger number is 30.

Set up your equation.

x + y = 25

The question tells us one number is 5 less than the other.

The equation now becomes
x -5 = 25

Add 5 to each side to isolate x.

x=30

Deandra spent $14.00 of the $20.00 in her wallet. What decimal is equivalent to the fraction of the $20.00 Deandra spent? $14.00 of the $20.00 means 14 over 20.

Answers

Answer:

0.7

Step-by-step explanation:

Deandra spent $14.00 of the $20.00 in her wallet.

We write this expression above in a fraction format

= $14.00/$20.00

= 14/20

The decimal is equivalent to the fraction of the $20.00 Deandra spent is:

= 14/20

Dividing both the numerator and denominator by 2

= 7/10

= 0.7

Relaciona correctamente cada número con sus respectivos múltiplos: 1) 14135 2) 11234125723 A) múltiplo de 3 B) múltiplo de 5 C) múltiplo de 11

Answers

Answer:

1) 14135 = B) múltiplo de 5 C) múltiplo de 11

Step-by-step explanation:

Para saber si un numero es un multiplo de otro simplemente tenes que dividir el otro numero por el primero y si el resultado es un numero entero (sin resto y que no es un decimal) entonces es un multiplo de ese numero. En esta pregunta el primer numero (14135) es multiplo de 5 y de 11 por que al dividir no quedan restos, pero no es multiplo de 3 por que si quedan restos.

14135 / 3 = 4,711.666

14135 / 5 = 2,827

14135 / 11 = 1,285

El segundo numero (11234125723) no es multiplo de ninguna de las opciones por que todos dejan restos.

11,234,125,723 / 3 = 3,744,708,574.33333

11,234,125,723 / 5 = 2,246,825,144.6

11,234,125,723 / 11 = 1,021,284,156.636363

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