So for dilation when it says to dilate 1/3 how do I solve that (ex. 18, 9)

Answers

Answer 1

Answer:

The image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).

Step-by-step explanation:

Let suppose the given point is A(18, 9)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/3 centered at the origin

P(x, y) → P'(1/3x, 1/3y)

Here, P'(1/3, 1/3y) is the image of P(x, y).

It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 1/3.

Thus,

A(18, 9) → A'(1/3(18), 1/3(9)) = A'(6, 3)

Therefore, the image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).


Related Questions

A bag has 2 blue, 3 red, and 5 yellow tiles. Find the probability of picking a blue tile.

Answers

Given:

A bag has 2 blue, 3 red, and 5 yellow tiles.

To find:

The probability of picking a blue tile.

Solution:

We have,

Number of blue tiles = 2

Number of red tiles = 3

Number of yellow tiles = 5

Total number of tiles = [tex]2+3+5[/tex]

                                   = [tex]10[/tex]

Now, the probability of picking a blue tile is

[tex]P(\text{Blue})=\dfrac{\text{Number of blue tiles}}{\text{Total number of tiles}}[/tex]

[tex]P(\text{Blue})=\dfrac{2}{10}[/tex]

[tex]P(\text{Blue})=0.2[/tex]

Therefore, the probability of picking a blue tile is 0.2.

simplify each expression.

1. 3x + 2(5x - 7)
2. 9 - 3(2x - 4)
3. 8x - 6(3 - 2x)
4. -5 + 5(x + 4)
5. 4 (6n + 9) - 10n
6. 14 - 3(4n - 1)
7. -8n + 8(4 + 2n)
8. 7k - 2(3k + 1) - 9
9. k + 1 - 4(2k - 9)
10. -6 + 5(8 - k) - 8k
11. -10k - 3 + 2(5 + 6k)
12. 8 + 9x + 4(11 - 2x)
13. -4(2x - 7) + 6x - 7
14. 9 + 3(4 - 3x) + 12x
15. 5(2y - 4) + 2(y + 9)
16. -4(3u - 1) +7(3 - 2u)
17. 6(-5u + 1) - 3(4u - 12)
18. -3(u + 5) + 8(2u + 1)

Answers

Answer:

1. 13x - 14

2. 21 - 6x

3. 20x - 18

4. 15 + 5x

5. 14n + 36

6.  9 - 12n

7. 8n + 32

8. k - 11

9. -7k +37

10. 36 - 13k

11. 2k + 7

12. 52 + x

13. -2x -21

14. 21 + 3x

15. 12v - 2

Step-by-step explanation:

Answer:

Below ↓

Step-by-step explanation:

[tex]1)\:\sf 3x + 2(5x - 7)[/tex]

[tex]\sf 3x+10x-14[/tex]

[tex]\sf 13x-14[/tex]

____________

[tex]\sf 2)\: 9 - 3(2x - 4)[/tex]

[tex]\sf 9-6x+12[/tex]

[tex]\sf -6x+21[/tex]

____________

[tex]\sf 3)\: 8x - 6(3 - 2x)[/tex]

[tex]\sf 8x-18+12x[/tex]

[tex]\sf 20x-18[/tex]

____________

[tex]\sf 4)\: -5 + 5(x + 4)[/tex]

[tex]\sf -5+5x+20[/tex]

[tex]\sf 5x+15[/tex]

____________

[tex]\sf 5) \:4 (6n + 9) - 10n[/tex]

[tex]\sf 24n+36-10n[/tex]

[tex]\sf 14n+36[/tex]

____________

[tex]\sf 6)\:14 - 3(4n - 1)[/tex]

[tex]\sf 14-12n+3[/tex]

[tex]\sf -12n+17[/tex]

______________

[tex]\sf 7) \: -8n + 8(4 + 2n)[/tex]

[tex]\sf -8n+32+16n[/tex]

[tex]\sf 8n+32[/tex]

______________

[tex]\sf 8)\:7k - 2(3k + 1) - 9[/tex]

[tex]\sf 7k-6k-2-9[/tex]

[tex]\sf k-11[/tex]

______________

[tex]\sf 9)\: k + 1 - 4(2k - 9)[/tex]

[tex]\sf k+1-8k+36[/tex]

[tex]\sf -7k+37[/tex]

_______________

[tex]\sf 10)\:-6 + 5(8 - k) - 8k[/tex]

[tex]\sf -6+40-5k-8k[/tex]

[tex]\sf 34-13k[/tex]

__________________

[tex]\sf 11)\: -10k - 3 + 2(5 + 6k)[/tex]

[tex]\sf -10k-3+10+12k[/tex]

[tex]\sf 2k+7[/tex]

__________________

[tex]\sf 12)\: 8 + 9x + 4(11 - 2x)[/tex]

[tex]\sf 8+9x+44-8x[/tex]

[tex]\sf x+52[/tex]

_________________

[tex]\sf 13)\: -4(2x - 7) + 6x - 7[/tex]

[tex]\sf -8x+28+6x-7[/tex]

[tex]\sf -2x+21[/tex]

_________________

[tex]\sf 14)\: 9 + 3(4 - 3x) + 12x[/tex]

[tex]\sf 9+12-9x+12x[/tex]

[tex]\sf 3x+21[/tex]

_________________

[tex]\sf 15)\: 5(2y - 4) + 2(y + 9)[/tex]

[tex]\sf 10y-20+2\left(y+9\right)[/tex]

[tex]\sf 10y-20+2y+18[/tex]

[tex]\sf 12y-2[/tex]

____________________

[tex]\sf 16)\: -4(3u - 1) +7(3 - 2u)[/tex]

[tex]\sf -12u+4+7\left(3-2u\right)[/tex]

[tex]\sf -12u+4+21-14u[/tex]

[tex]\sf -26u+25[/tex]

___________________

[tex]\sf 17)\: 6(-5u + 1) - 3(4u - 12)[/tex]

[tex]\sf -30u+6-3\left(4u-12\right)[/tex]

[tex]\sf -30u+6-12u+36[/tex]

[tex]\sf -42u+42[/tex]

___________________

[tex]\sf 18)\: -3(u + 5) + 8(2u + 1)[/tex]

[tex]\sf -3u-15+8\left(2u+1\right)[/tex]

[tex]\sf -3u-15+16u+8[/tex]

[tex]\sf 13u-7[/tex]

______________________________________________

Please Help!!
1. Name the corresponding angels, are they equal?
2. Name the alternate angle, are they equal?
3. Name the interior angels, are they supplementary?

Answers

Answer:1 acute and obtuse angles

Step-by-step explanation:

Point j to n to m makes one angle and point f to m to e makes another one

Helpppp plzzz
Thank you

Answers

Answer:

a) GCF = 8

Step-by-step explanation:

b)

Subject : Maths
Level : High school
Topic : Surds
Points : 72

Answers

Answer:

a = 5

Step-by-step explanation:

Simplify:

√5(√8 + √18) =√5*8 + √5*18 =√40 + √90 =√4*10 + √9*10 =2√10 + 3√10 =(2 + 3)√10 =5√10

The value of a:

a√10 = 5√10a = 5

Which paint costs the most per quart? TWO pints = ONE quart FOUR quarts = ONE gallon

Glide Paint: 1 gallon for $28.92
Smooth Paint: 3 quarts for $22.75
One-Coat Paint: 4 pints for $15.00 7.5 is the answer to this one when it's 1 quart

these are the choices
1. One-Coat Paint
2. Smooth Paint
3. Glide Paint

Answers

Answer:

2. Smooth paint

Step-by-step explanation:

Im pretty sure that's the answer, good luck!

Answer:

B. Smooth paint

Step-by-step explanation:

Glide Paint is $3.61 per pint

Smooth Paint is $3.79 per pint

One Coat is $0.26 per pint

Multiply the binomials. (3x-y)(x+2y) and (x +6)^2

Answers

Answer:

tt

Step-by-step explanation:

boi

Examine the system of equations.

2x − 4y = 6

x − 2y = 3

How many solutions does this system of equations have?

Answers

It has two solutions hint the two equations

Answer:

Infinite

Step-by-step explanation:

maf

30 POINTS PLZ HELP
Which graph represents the function g(x)=(3.5)^x−1?

Answers

Answer:

top left graph

Step-by-step explanation:

I plugged the equation into Desmos and got it

The answer is the top left.

Mrs. Palma took her coworkers out to dinner yesterday and their subtotal was $72.39
If the sales tax is 5% and she plans to leave a 20% gratuity after the tax it is added, how much will Mrs. Palma spend total on dinner?

A) $82.54
B) $86.87
C) $90.48
D) $91.21

Answers

Answer:

C) $90.48

Step-by-step explanation:

72.39*.2=14.478

72.39*.05=3.6195

14.478+3.6195=18.0975

18.0975+72.39=90.4875

What is RS? Please help will give Brainlyest.

Answers

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

Therefore:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}[/tex]

3x + 5 = 4x - 11        {subtract 5 from both sides)

3x = 4x - 16             {subtract 4x from both sides)

-x = -16                   {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47

compare the slopes of parallel lines and perpendicular lines?​

Answers

Answer: C

Step-by-step explanation: l-7&!:

Simplify the expression-1/2 (-5/6 +1/3)

Answers

Answer:

The first option 5/12 - 1/6

Step-by-step explanation:

5/12 - 1/6

Just open the parenthesis and be careful of the signs.

Need answer fast please

Answers

Answer:

c. -8

Step-by-step explanation:

The answer is C. -8
:)

How much did joe earn caddying if he got 35$ plus a 20% tip

Answers

The answer is $42, because it’s $42

The graph shows quadrilaterals Q and R.
BH
6
4
2
2 4 6
-8 -6 -4 -2
-21
-4
-6
Which statement justifies whether or not the two quadrilaterals are congruent?
O A. Yes, because R is the result of reflecting Q across the x-axis.
B. Yes, because R is the result of reflecting across the line y = x.
OC. No, because R can only be obtained from Q by a series of rigid transformations.
OD. No, because R cannot be obtained from Q by a series of rotations and translations.
OE. Yes, because R is the result of rotating Q by 90° counter-clockwise about the origin.

Answers

Answer:

i think it is B!

Step-by-step explanation:

im doing the test right now and its realistically the only one that makes sense

Please help brainiest will be award !!

Answers

Answer:

served a greater variety of ages and then range

hope it helped!

Step-by-step explanation:

Which statement is true? A. All rhombuses have all sides equal. All quadrilaterals are rhombuses, so they have all sides equal. B. All quadrilaterals have four sides. All rhombuses are quadrilaterals, so they have four sides. C. All rhombuses have opposite sides parallel. All quadrilaterals are rhombuses, so they have opposite sides parallel D. Some quadrilaterals have four night angles. All rhombuses are quadrilaterals, so they have four right angles​

Answers

Answer:

A

Step-by-step explanation:

It should be A

How do mathematical expressions and mathematical equations differ ?

Answers

Answer:

An equation has an equal sign.

Step-by-step explanation:

Expressions are things such as 3/4 +6. Or even 3 < 4

An equation would be 4+1 = 5 or 3x +2y=0.

An equation is two expressions connected by a =

Answer: See explanation

Step-by-step explanation:

An expression consists of a number, a variable, or a combination of numbers and variables and operation symbols.

An equation is made up of two expressions connected by an equal sign.

Hope this helped!

A system of linear equations is given by the graph. Okie what is the system shown?

A.
Y = 2/3x
Y = -2/4x - 5

B.
Y = -2/3x
Y = 3/4x - 5

C.
Y = 3/4x
Y = -2/3x - 5

D.
Y = -3/4x
Y = 2/3x - 5

Answers

Answer:

I think the answer is A.

Step-by-step explanation:

all of the other ones dont seem to line up with the graph.

Answer:

its B, (your A answer is entered wrong)

Step-by-step explanation:

f the ratio 3x : 5y equals the ratio 7 : 11, then the ratio x : y equals what?

Answers

Answer:

2.3 : 2.2

Given:

3x : 5y and 7 : 11

Step-by-step solution:

3x : 5y

7 : 11

To find x:

3x = 7

x = 7/3 (Bring 3 over to 7 to divide)

x = 2.3 OR 2/1/3

To find y:

5y = 11

y = 11/5 (Bring 5 over to 11 to divide)

y = 2.2 OR 2/1/5

So,

x = 2.3

y = 2.2

Therefore, the answer is:

x : y = 2.3 : 2.2

What is the measure of angle Y?

Answers

Answer:

Y=70

Step-by-step explanation:

For starters, all the interior angles inside a pentagon add up to 540. This number can be found for any polygon with the forumla (n-2)180. N stands for the number of sides and then you plug it into the equation. For instance, if we wanted to find it for a triangle, we would see that the triangle has three sides and plug it into the formula. (3-2)180 which equals 180. For the ptenagon we take the fact that it has five sides and add it into the equation. (5-2)180 which equals 540. So now that we know all the interior angles are supposed to add up to 540, we can find the value of Y. So let's start by finding what amount we already have.

T=110

A=150

D=120

O=90 (this is beacuse of the right angle square placed which equals 90 degrees)

All those angles add to 470 degrees. So to find the last angle, you would subtract our total of 470 from our interior angle total of 540.

540-470=70

Y=70.

Which expressions represents the algebraic phrase twelve times the sum of a number and seven tenths


A 12y+7/10

B 12(y+7/10

C 7/10y+12

D y(7/10+12)​

Answers

Answer:

b. 12(y+7/10)

Step-by-step explanation:

hope it helps :)

Answer:

B.

Step-by-step explanation:

sorry that it's late but hopefully it'll help someone

Write in slope-intercept form an equation of the line that passes through the given points.
(1, 2), (−2, −1)
HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=-1

Step-by-step explanation:

i think thats what you mean

50m.cloth costs 2500$.so how much meters will be bought in 1000$​

Answers

Step-by-step explanation:

50m.cloth costs=2500$

we can write,

2500$cost for=50m.

1$ costs for=[tex]\tt{\dfrac{50}{2500} }[/tex] ⠀

=[tex]\tt{\dfrac{\cancel{50}}{\cancel{2500}} }[/tex]m. ⠀

=[tex]\tt{\dfrac{1}{50} }[/tex] m.⠀

So,

1000$ cost for ,

=[tex]\tt{\dfrac{1}{50}×1000 }[/tex]

=[tex]\tt{\dfrac{1}{\cancel{50}}×\cancel{1000 }}[/tex]

=[tex]\tt{20m. }[/tex] ⠀

[tex]\therefore[/tex] 20m. Will be bought in 1000$⠀

Answer:

The 20m of cloth will be bought in $1000.

Step-by-step explanation:

Given that :-

The cost of 50m cloth is $2500.

We need to find :-

How much meters of cloth will be bought in $1000.

Let us assume :

We bought x meters of cloth in $1000.

According to the question

50 = 2500

x = 1000

Using cross multiplication method.

50 × 1000 = 2500 × x

50000 = 2500x

Divide both side by 2500.

[tex]\frac{50000}{2500} \\ [/tex] = [tex]\frac{2500x}{2500} \\ [/tex]

Reduce the fractions.

20 = x

Hence,

The 20m of cloth will be bought in $1000.

In the garden the total number of pepper plants is 15 and the total number of tomato plants
is 12. What is the ratio of pepper plants to tomato plants in the garden?

Answers

5:4

Because math is math

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146

Answers

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

Mr. Bradley purchased 20 trays of flowers. Each tray had 3 dozen flowers. Mr. Bradley's total for all the flowers was 273.60. All the flowers were the same price. How much did each flowers cost?

Answers

Answer: Each flower costs $0.38.

Step-by-step explanation:

1 dozen = 12 units

Flowers in each tray = 3 dozen = 3 x 12 = 36

Flowers in 20 trays = 20 x 36 = 720

Price of 20 trays = $ 273.60

Price of each flower = (Price of 20 trays  ) ÷ (Flowers in 20 trays)

= 273.60 ÷ 720

= $ 0.38

Hence, each flower costs $0.38.

What is this expression in simplified form?

Answers

Answer: C.) 54\sqrt{2} or [tex]54\sqrt{2}[/tex]______________________________________Honey to fin the answer just simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.. (´= ▽ =`)______________________________________

Hope you have a good day, Loves!~ <3

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

I think it's A

cause I said so

Please help me!! Thank you.

Answers

the answer is a because there is not an 8 on the chart
This is the answer 3-4
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