The image of (6, 9) under a dilation is (4, 6).

The scale factor of the dilation is ________.


Type a numerical answer in the space provided. If necessary, us the / key to represent a fraction bar.

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

The scale factor is the number that the original image is multiplied by to find the new image. So, we have to find what number multiplied by 6 equals 4 and what number multiplied by 9 equals 6. This can represented as an equation, with the unknown number represented by x:

6 * x = 4

6x = 4

Divide both sides by 6 to isolate x:

6x/6 =4/6

x = 4/6 = 2/3

x = 2/3

9x = 6

9x/9 = 6/9

x = 6/9 = 2/3

x = 2/3

For both dilations x came out to be 2/3. So, the scale factor is 2/3.

Hope this helps :)


Related Questions

1/2,5/16,3/32,3/4,3/8 make it in least to greatest order plz

Answers

Answer:

3/32 , 5/16 , 3/8 , 1/2 , 3/4

Step-by-step explanation:

Multiply them to give them all a common denominator of 32

Answer:

3/32, 5/16, 3/8, 1/2, 3/4,  

What is the equation of the line that passes through the point (6, 6) and has a slope
of o?

Answers

y=6, because horizontal lines have a zero slope and they’re written in the form of y=. Knowing that, our y-value in this case is 6, so therefore our equation is y=6. I hope this helps and pls give thanks!!

Simplify. Use the distributive property. 5(3x+1)​

Answers

Answer:

15x+5

Step-by-step explanation:

First you distribute the 5 to the 3x ( 5 times 3x=15x)

Next you distribute the 5 to the 1 (5 times 1=5)

Finally you put the two answers together 15x+1

you cant simplify it anymore because you cannot add 15x to 1

[tex]\huge\boxed{Hello\:there!:)}[/tex]

The Distributive Property states that

a(b+c)=ab+ac (we multiply a by b and c)

Let's use this fantastic property to solve our problem:

5(3x+1)

15x+5

That's our final answer.

Remember, we can't add variables and numbers together.

[tex]\huge\boxed{\sf{Hope\:it\:helps!}}[/tex]

[tex]\huge\bf{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

X+y=8 You can find more Solutions by replacing x with other values and then solving for Y. For example, let X = 6. What is y? ... the solutions of x+y=8 x is 5 and y is 3

Answers

Answer:

Step-by-step explanation:

x + y = 8 ⇔ y = - x + 8

If x = 6 , then y = - 6 + 8 = 2

( 6, 2 )

If x = 0 , then y = 0 + 8 = 8

(0, 8)

If x = 8 , then y = - 8 + 8 = 0

(8, 0)

help pls this is a missing assignment

Answers

Answer:#1 she didn't finish solving

#2 finish solving for a.

#3 it is similar to solving a two step equation because it is a two step equation just there are variables to go along with it.

Step-by-step explanation:

14. Find the midpoint of the line segment with the endpoints located at (-3, 8) and (-8, 2).
A. (-13, -4)
B. (2.5, 3)
C. (2.5, -3)
D. (-5.5, 5)

Answers

The answer is D (-5.5,5)

Which grach remesents an odd function

Answers

If you turn the graph upside down, it looks the same. The example shown here, f(x) = x3, is an odd function because f(-x)=-f(x) for all x. For example, f(3) = 27 and f(–3) = –27.

Grade six math, Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool

Answers

This question is the same as yours and has a verified answer:

https://brainly.com/question/9118873?referrer=fromSearch

I hope this helps!

Please help! Thanks!!

Answers

Answer:

x=12

Step-by-step explanation:

(2x-4)/5=4

We move all terms to the left:

(2x-4)/5-(4)=0

We multiply all the terms by the denominator

(2x-4)-4*5=0

We add all the numbers together, and all the variables

(2x-4)-20=0

We get rid of parentheses

2x-4-20=0

We add all the numbers together, and all the variables

2x-24=0

We move all terms containing x to the left, all other terms to the right

2x=24

x=24/2

x=12

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{2x-4}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

2x - 4 = 20 ( add 4 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

I'll give brainliest please help

Answers

Answer:

x=15

Converse: If line x and y are parallel then angles on the same line are supplementary angles.

Step-by-step explanation:

Converse:

Let's start with the converse, so if line x and y are parallel then angles on the same line are supplementary angles. I'm not sure if that's the converse your teacher wants but my teacher taught me this.

Finding x:

Now we know that the angles are supplementary angles, that means if w add them together we get 180°. So our equation will be [tex]10x-22+3x+7=180[/tex]. Now we just solve it. We start by combining like terms, then adding the 15 to both sides, and lastly we divide the 13 to both sides and get...

[tex]10x-22+3x+7=180\\13x-15=180\\13x=195\\x=15[/tex]

x=15

What is an equation of the line that passes through the points (0,8) and (-5,4)? Put your answer in fully reduced form.​

Answers

The equation is Y=0.8x+8

What is the volume of a cylinder with a height of 10 inches if the area of its base is 40 square inches?
400 in3
1,256 in3
4,000 in3
12,560 in3

Answers

Answer:

400 in³

Step-by-step explanation:

Height (h) = 10 in

Base Area [tex] \sf (A_B) [/tex] = 40 in²

Formula of Volume of Cylinder:

[tex] \boxed{ \bf{V = A_Bh}}[/tex]

By substituting values in the equation, we get:

[tex] \rm \longrightarrow V = 40 \times 10 \\ \\ \rm \longrightarrow V = 400 \: {in}^{3} [/tex]

Answer:

A

Step-by-step explanation:

please help this is due soon 2

Answers

4.) is 3. Acute

5.) is 4. 77°

:'( NEED HELP NOWWW ok so its 3/4h x 19mi/ 1/4h I'm failing in math so pls help.would appreciate it

Answers

Answer:

3/16

Step-by-step explanation:

Easy!! USE A CALCULATOR! LOL!

Answer: 2.51718887 × 10-63 m5 kg2 / s2

Step-by-step explanation:

pretty sure oh and -63, 5 next to m, 2 in kg, and 2 in s is  supposed to be smaller

A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

Step-by-step explanation:

Given the points

(-39,49) (0,0)

Finding the slope between the points using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)[/tex]

[tex]m=\frac{0-49}{0-\left(-39\right)}[/tex]

[tex]m=-\frac{49}{39}[/tex]

We know that the point-slope of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting [tex]m=-\frac{49}{39}[/tex] and (-39,49)  in the equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

Now writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]y-49=-\frac{49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Add\:}49\mathrm{\:to\:both\:sides}[/tex]

[tex]y-49+49=-\frac{49}{39}\left(x+39\right)+49[/tex]

[tex]y=-\frac{49}{39}x+0[/tex]              ∵ [tex]y=mx+b[/tex]

Where

[tex]m=-\frac{49}{39}[/tex] and the y-intercept i.e. [tex]b=0[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

can someone help? i dont understand it really well

Answers

The answer is the first one

PLEASEE HELPP WILL MARK BEAINLIEST
Write an equation in point-slope form of the line that passes through the two points given. Use the
first point to write the equation.

1.) (4,7) and (5,1)

2.) (9,-2) and (-3,2)

3.) (3,-8) and 7(-2)

Answers

Answer:

1. 9.8

2. 3.8

3. -19

Hope it helps :)

1. Y = -6x + 31
2. Y = -1/3x + 1
3. Y = 3/2x - 25/2

30% of $40 is ?
How much money $?

Answers

Answer:

30 percent of 40 dollars is

12 dollars.

find the mode of the following numbers:
7,4,3,5,6,3,3,2,4,3,4,3,4,3,3,3,3,2,2,4,3,5,4,3,4,3,4,3,1,2,3​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3

Which number is divisible by 5 and 10?

A.24503
B.24305
C.23450
D.23405

Answers

Answer:

C

Step-by-step explanation:

a number is divisible by 5 if it ends in 5 or 0

since we know that, we know that A is not correct.

a number is divisible by 10 if it ends in 0

from this, we can see that C is the correct answer because it ends in a 0

answer=c

hope this helps!

please mark as brainliest if you can, I need to level up :)

4 1/2 x 2 2/3
ANSWER ASAPPPP TO BE BRAINLIEST
EXPLAIN HOW AND BE RIGHT

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You turn the fractions improper, 9/2 x 8/3. Multiply the top numbers and then multiply the bottom. Simplify to get 12.

What is the correct answer? ​

Answers

Step-by-step explanation:

id-8253381513

password-9999

Answer:

the correct answer is A. but dont trust me on this

Step-by-step explanation:

A boat goes 3/4 hours with a speed of 8mph and 1/3 hours with a speed of 12mph. What distance did the boat cover in all this time?

Answers

Answer:

10 miles

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

d = [tex]\frac{3}{4}[/tex] (8) + [tex]\frac{1}{3}[/tex] (12) = 6 + 4 = 10 miles

A)4(3х+4)
B)- 60(-7 х - 3)
With solution please
Urgent

Answers

happy with solution rate this

Step-by-step explanation:

A) distribute: 12x +16 = 0; 12x/12 = -16/12

x = -4/3

B) distribute: 420x +180 = 0; 420x/420 = -180/420

x = -3/7

Hope this helps! :)

Emily typed 456 words in 8 minutes. Her friend Mary typed 32 fewer words in the
same time frame. At the same rate, how long would it take Mary to type 954 words?

Answers

The correct answer is 18 minutes

i need help on this now plz

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

A food distributor conducts regular surveys of consumer spending on its products. The average weekly household spending (in dollars) on regular pasta and gluten-free pasta for each of 12 states was recorded. A scatterplot of spending on regular pasta versus gluten-free pasta is shown. Which of the following statements is true?

Graph shown below

A. Point (7.2, 10) is an outlier.

B. There is clear evidence of a negative association between spending on gluten-free pasta and regular pasta.

C. The equation of the least-squares regression line for this plot is approximately ŷ = 3.8 + two thirds times x.

D. The correlation for these data is r = 1.

E. The observation in the upper right corner of the plot is influential for the least-squares regression line.

Answers

Answer:

The equation of the least-squares regression line for this plot is approximately ŷ = 3.8 + two thirds times x.

Step-by-step explanation:

Show work if possible, thanks!

Answers

here is the correct answer

When your gas tank is full, your car can drive 350 miles. If you’ve already driven 72 miles since the last time you filled up your gas tank, write an inequality representing the possible number of miles you can still drive in your car, then solve for the most amount of miles you can drive ?

Answers

Answer:

noentiendo. que preguntas?

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

Solving [tex]6^2-(1.1+7.4)+1.5[/tex] we get [tex]\mathbf{29}[/tex]

Step-by-step explanation:

We need to solve:

[tex]6^2-(1.1+7.4)+1.5[/tex]

First solving brackets

[tex]=6^2-(8.5)+1.5\\=6^2-8.5+1.5\\[/tex]

Now solving 6^2

[tex]=36-8.5+1.5\\[/tex]

Now subtracting 8.5 from 36

[tex]=27.5+1.5[/tex]

Now adding the above values

[tex]=29[/tex]

So, solving [tex]6^2-(1.1+7.4)+1.5[/tex] we get [tex]\mathbf{29}[/tex]

Answer:

no

Step-by-step explanation:

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