The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.

Answers

Answer 1

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891


Related Questions

Is 4 16/18 simplified and what is the simplified version

Answers

Answer:

no

4 16/18 = 88

88 simplified is 44/9 ?

It’s actually 3 1/9.


You turn it into a improper fraction then simplify it. 56/18 to 28/9.

Then turn it back into a mixed number:)

For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3

10

10/30

30

Pls answer correct

Answers

Answer:

30

Step-by-step explanation:

Answer:

A. 3

Step-by-step explanation:

For every 30 minutes she dances, Nell stretches for 10 minutes

Ratio:

Dance / Stretch = 30 min / 10 min = 3/1 = 3

What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}

Answers

Answer:

Not sure but I think it's B.

BRAINLIEST
can I get some help on this

Answers

Answer:

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Step-by-step explanation:

REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

I need the answer please and thank you

Answers

Answer: First do 145 - 25, which is 120. Then do 120 ÷ 15 = 8. Therefore the slope intercept is y ÷ 15 = x. Their voyage will last 8 days.

Explanation: Brainliest please

n/4 = -11

what does the N =

Answers

Answer:

N = -44

Step-by-step explanation:

have a great day! :)

Answer:

n=44

Step-by-step explanation:

n/4=11/1

crossmultiply

n=4×11=44

Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+

Answers

Answer:

d(1) = 8

d(n) = d(n-1) + (-13)

Question
1. Put the following equation in Standard Form:
y=-1/3x + 4

Answers

Standard form = Ax + By = C
y = -1/3x + 4
Start by getting rid of fraction
Multiply all by 3
3y = -1x + 12
Add x to both side
x + 3y = 12

Solution: x + 3y = 12
3y+x=12 is in standard form



Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)

Answers

Answer:

absolute value

coefficient

constant

counterexample

equation

expression

evaluate

inequality

I hope that helps maybe give brainliest if it does!

Love,

-Banana

Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3

Answers

The answer your looking for is Y=2/5x -3 or D

3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23

Answers

Answer: (7,3)

Step-by-step explanation:

[Please check]:   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

Algebra:

Add the two equations:

  3x-4y=9

−5x+4y=-23

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph.  The lines intersect at (7,3)

What percentage of a dollar is the value of 5 quarters and 1 dime?

Answers

Answer:

135%

Step-by-step explanation:

1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.

?.....helpp lolllll helpppp

Answers

The answer is F, which is p/100 = 270/450

Answer: the answer is F

Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook

simplify 2 by 5 into 4 by 7 + 21 by 35​

Answers

Solution:

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

Answer:

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Faster the deadline is so close let me sing

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

Super idol di show lung domini ding shaw

A man and his son are in the living room watching TV when the son asks his father a question.

"Dad, why is my sister's name Teresa?"

The dad thinks for a little bit and answers him.

"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."

The son understands and says,"Thanks, dad."

The dad replies with,"No problem, Alan"

Answers

When we arrange Alan it brings out a dirty word

Answer:

so what is the q

Step-by-step explanation:

Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?

Answers

Answer:

let me think about this

Step-by-step explanation:

question i may help

This is a combination equation:

14C8 = 14!/8!(6!) = 3003

Answer: 3003

Rewrite the following equation in slope-intercept form.

y − 3 = 12( x + 4)

Answers

Answer:

y=12x+51

Step-by-step explanation:

a 20 pound platter of cookies costs $77. the platter is a mix of peanut butter that costs $4 per pound, sugar that costs $3 per pound, and chocolate chip that’s costs $4.50 per pound. there are two more pounds of sugar cookies than peanut butter. how many pounds of sugar cookies are on the platter?

Answers

Answer: 7 pounds of sugar cookies

X+Y+Z = 20

4x + 3y +4.50z = 77

-x + y + 0z = 2

X+Y+Z = 20                      4x + 3y + 4.50z = 77

-x + y +Oz = 2                   (-x + y + 0z = 2) x 4     (-4x +4y+0z=8)

Add the problems vertically

0x + 2y + z = 22              0x +7y + 4.50 z = 85

Rewrite the problem

2y + z = 22                (Times 7)

7y + 4.50 = 85          (Times -2)

14y +7z = 154

-14y - 9z = -170      

Add Vertically

-2z = -16

divide by -2

z = 8

there are 8 Chocy Chips

if we plug 8 for z in 2y + z = 22      we get y = 7

making 5 be X (Cause X+Y+z = 20)

8 Chocy

7 Sugar

5 Peanut butter

-- Gage Millar, Alg 1/2 tutor

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 6/5

Step-by-step explanation:

Slope = Rise/ Run

=6/5

How much money should Annika give Susan?

Answers

Answer:

it depends on how much Annika has and if she is willing to give Susan money

Step-by-step explanation:

I could have answered properly but i do not understand the question it just states that, look below

How much money should Annika give Susan?

2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)

Answers

Answer:

Area =Pi r2

=3.14×10x10

=3.14×100cm2

=3.14cm2

Perimeter = 2 pi r

=2 ×3.14×10

=6.28cm

Or =Pi d

= 3.14 ×20cm

=62.8cm

Note:

R means radius

D means diameter

radius is half of a diameter e.g radius is10 and diameter is 20

I can recommend you watching yt videos it helped me alot

hoo this helps:)

lf the volume of a sphere= 4.5π cm³ then the radius length is .....? ​

Answers

Answer:

Radius = 3.232 cm to the nearest thousandth.

Step-by-step explanation:

Volume of a sphere = 4/3πr^3, so:

45π = 4/3πr^3     π is common to both sides, so:

45 = 4/3 r^3

r^3 = 45 * 3/4

r^3 = 33.75

r = 3.232 cm.

Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.

Answers

Yes Dana is correct because he is black and it’s Black Lives Matter month

Ginny factored 6x2 – 31x – 30 as shown:

ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.

Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.

Answers

Answer:

  (a)  Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.

Step-by-step explanation:

The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.

Answer:

A

Step-by-step explanation:

The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Answers

Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Step-by-step explanat hope that help

The function is

[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]

Graph attached

The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.

Answers

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

cuantos segundos tiene una hora

Answers

Answer:

3600

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

verificando :)

What is the vertex of Y=x^2+5x-7

Answers

Answer:

the vertex of this parabola is at (5/2, 47/4)

Step-by-step explanation:

Y=x^2+5x-7 is written in 'standard form' for a quadratic.  Comparing this to

y = ax^2 + 5x - 7, we see that a = 1 and b = 5.  

                                                                                          -b

The formula for the x-coordinate of the vertex is x = --------

                                                               5                         2a

which in this case has the value x = ------- = 5/2

                                                             2(1)

Now use the quadratic formula to find the y-value of the vertex:

y = (5/2)^2 + 5(5/2) - 7, or

y  =  25/4 + 25/2 - 7, or

y  = 11.75 or 11 3/4

Thus the vertex of this parabola is at (5/2, 47/4)

*ONLY* 44-47 please help meeee

Answers

Answer:

44 - 47 is -3 if thats what youre asking

Step-by-step explanation:

I am so sorry I had that math book last year and it sucks
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