Given a dilation around the origin, what is the scale factor K?

D o, K = (2,4) → (3,6)

Answers

Answer 1

Answer:

It is 3/2, I got it right on my exam.

Step-by-step explanation:

Answer 2

Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.

What is dilation?

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.

Let the dilation factor be represented by a, then,

2 × a = 3

a = 3/2

Similarly for the y-axis,

4 × a = 6

a = 6/4 = 3/2

Hence, the dilation factor of the given point is 3/2.

Learn more about Dilation:

https://brainly.com/question/13176891

#SPJ2


Related Questions

please help!! 10 points! Need 2 and 5 answered!

Answers

Answer:

2. given

5. substitution

Step-by-step explanation:

that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.

nothing was calculated, this information is simply there at the beginning, is "given" to us.

step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.

Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X

Answers

[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]

The missing side is 53.6 units for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:

sin(θ) = opposite / hypotenuse

Here, θ = 66°

Using the sine ratio in the given triangle, we get

sin 66° = perdenicular/hypertanuas

Substitute the known values in the above ratio,

sin 66° = 49/x

x = 49/sin 66°

x = 53.63717

Rounded to the nearest tenth,

x ≈ 53.6

Thus, the missing side is 53.6 units for the given right triangle.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ7

What is the equation of a straight line which passes through (-1,4) and parallel to the line 3x+27-7-0?*​

Answers

Step-by-step explanation:

3x+27-7-0=3x+20

gradient=3

y=mx+c

4=3(-1)+c

4+3=7

c=7

y=3x+7

Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.​

Answers

Answer:

Answer is in the picture.

similar right triangles, i need help with this please

Answers

Answer:

Step-by-step explanation:

the answer is a)

please help!! 15 points! I need 5 and 9 answered

Answers

Answer:

B: Subtraction property of equality

5 and 9 are subtraction property of equality

The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?

Answers

Answer:

$95.52

Step-by-step explanation:

Number of robots = 3

Cost of each robots = $398

Tax rate = 8%

Amount of tax of each robots = 8% of $398

= 8/100 × $398

= 0.08 × $398

= $31.84

TOTAL TAX to be paid = Amount of tax of each robots × Number of robots

= $31.84 × 3

= $95.52

TOTAL TAX to be paid = $95.52

Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8

Answers

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?

Answers

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

Need helppppp I’m stuckkkk

Answers

Answer:

b) 94

Step-by-step explanation:

The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.

68+26+x=180.

x is the complementary angle of the "?" angle.

Solve the equation.

94+x=180

x=86

Then Subtract 86 from 180 to find "?"

180-86=94

I hope this helps!

Answer:

94;b

Step-by-step explanation:

68+26=94. 180-94=86. 180-86=94.

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

5.1

Step-by-step explanation:

[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]

0.4663 * 11 = x

x = 5.1293

x = 5.1

What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4

Answers

[tex] - \frac{2}{5} [/tex]

Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=

Answers

Answer:

x = 44.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 48 = 30/x

x cos 48 = 30

x = 30 / cos 48

x=44.83429

Rounding to the nearest tenth

x = 44.8

Please help……………………….

Answers

Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

20
f(x)
g(x)
The tables given are for the linear functions f(x) and
g(x). What is the input value for which f(x) = g(x) is true?
x -2
-2
X=
3
4
-1
3
-1
3
0
3
0
2.
1
3
1
1
N
3
N
0
3
3
3
-1

Answers

Answer:

1 is the wrong answer i dont know the answer plz help him

find the midpoint between this pair of points (-4,10) and (14,0)

Answers

Answer:   (5, 5)

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30

Answers

Answer:

2.5%

Step-by-step explanation:

Given :

Mean, μ = 190

Standard deviation, σ = 30

Probability that more than 250 books are borrowed ;

x = 250

P(Z > z)

Z = (x - μ) / σ

P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]

P(Z > z) = P(Z > 2)

P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725

P(Z > 2) = 1 - P(Z < 2) = 0.02275

(0.02275 * 100)% = 2.275%

2.5% is closest to 2.275%

Simplify The Equation

Answers

Answer:

5

Step-by-step explanation:

5 ^ 1/3  * 25 ^ 1/3

Rewriting 25 and 5^2

5 ^ 1/3  * 5^2 ^ 1/3

We know that a^b^c = a^ (b*c)

5 ^ 1/3  * 5^ 2/3

We know a^b  * a^c = a^(b+c)

5^ ( 1/3 + 2/3)

5^1

5

Can someone help me with this please

Answers

Answer:

.574

Step-by-step explanation:

This can be inputted in a calculator to achieve .57357643

To three decimal places that is .574

HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18

Answers

Answer:

Hello the answer is 5x - y = 30!

Step-by-step explanation:

m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3

y = mx + b

O = (5/3)(6) + b

O = (30/3) + b

O = 10 + b

-10 = b

3y = 5x - 30

3y + 30 = 5x

5x - 3y = 30

The diagram shows a square with side length 5cm.

The length of the diagonal is y cm.
Find the exact value of y.

Answers

Answer:

5sqrt2

Step-by-step explanation:

Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.

I’m practically begging someone please help me!!

Answers

My guys is is not just (5, -10)?

please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty ​

Answers

I think these are the correct answers
45. 13/36
46. 86/63
47. 19/42
48. 17/30

Answer:

45:13/36

46:86/63

47:19/42

48:9/10

49:1/12

SMART PPL PLEASE LOOK AT THIS I BEG YOU AND I WILL DO ANYTHING U WANT!!

Answers

Answer:

the real answer is

2X/19

At the end of a game, Fran had 14 points and Calvin had -22 points. How many points did Fran win? A: -36 B: 8 C: -8 D: 36

Answers

Answer:

36

Step-by-step explanation:

Number of points Fran won = points Fran had - points Calvin had

14 - (-22)

= 14 + 22

= 36

help please i’ve been in here for hours oookung for answers

Answers

F(x) = 3x - 7 is the correct slope-intercept form.

Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

m is slopec is y intercept .

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m

Find the area of just the trench.

Answers

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

cos(30 +x) =5/3 find x​

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the sauce for one portion cost? Round to the nearest cent.
Select one:

a. $1.30

b. $1.31

c. $1.28

d. $1.29

Answers

It will be c!! I had this before

The cost of the tomato sauce for one potion given the cost per ounce is $1.30.

What is multiplication?

Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.

What is the cost of one portion of the sauce?

In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.

$0.37 x 3.5 = $1.30

To learn more about multiplication, please check: https://brainly.com/question/13814687

What is the nth term for 2 3 5 13

Answers

this is a number is can not devide

Here step by step and the answer for the on in the attachment i sent is 2n^2+3
Other Questions
How has the development of technology positively affected our wellness?A. It has provided entertainment in which people are less active.B. It has increased the quality and availability of treatments.C. It has increased the amount of advertising on the Internet.D Some technology has led to an increase in pollution.Please select the best answer from the choices provided.BMark this and returnSave and ExitNextSubmit 31. Which choice describes the value of m when -5(m + 1) = 23?B.m 2-3ms-6 m2D.ms- evaluate (-1)^6-4^0+(3/7)^0 What is the iterative procedure of recursive and nonrecursive? Is there any plastid in mango seed? A ball is dropped from the roof of a 25-m-tall building. What is the velocity of the object when it touches the ground? Suppose the ball is a perfect golf ball and it bounces such that the ve locity as it leaves the ground has the same magnitude but the op posite direction as the velocity with which it reached the ground How high will the ball bounce? Now suppose instead that the ball bounces back to a height of 20 m. What was the velocity with which it left the ground? Find the 8th term of the geometric sequence 7,21,63, 1 upon sec A -tan a minus one upon cos A is equal to 1 upon Cos A minus one upon sec a + tan a prove it what is the value of x They are correct? thank you! Please help me this on the picture What is the centripetal acceleration of a point on the perimeter of a bicycle wheel diameter 70.0 cm when the bike is moving 8.0 m/s? (160 m/s) 125 + (a-b) help me Which of the following paragraphs would not fit into the body of an essay withthe thesis below?Thesis: Choosing where to attend college was a difficultdecision; I knew that my family needed me, but I alsodesired to expand my own horizons of learning andexperience more of the world.A. A paragraph about personal education goals during the collegeperiodB. A paragraph describing the athletic opportunities at a college outof stateC. A paragraph comparing the benefits of colleges close to home andcolleges far awayD. A paragraph discussing the specific needs of the family pls help !! answer both 1a and 1b pls What volume of 1.50 mol/L stock solution is needed to make 125 mL of 0.60 mol/L solution? Setting y = 0 allows you to determine the what of a graph which countries have a smaller coastline than the Philippines Simplify [2(5 4) + 6(7 3)] 2I'LL MARK BRAINLY PLEASE HELP ME I'M STRUGGLING Suppose the distributor charges the artist a $40.00 cost for distribution, and the streaming services pays $4.00 per unit. (Note: One unit = one thousand streams)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Formula: y = 40x + 4 (Graph Attached)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -After how many streams will you pay for the distributor charges? (Hint: this is where the line crosses the x-axis, round to the nearest thousand)