1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
5

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

Mathematics
2 answers:
nirvana33 [79]3 years ago
5 0

Answer:

The correct option is 1. The scale factor is 1/2.

Step-by-step explanation:

The given rule of dilation is

D_{o,K}:(6,12)\rightarrow (3,6)

Where, o is origin or center of dilation and K is scale factor.

If a figure is dilation by scale factor K and center of dilation at origin, then

P(x,y)\rightarrow P'(kx,ky)

It means

\text{Scale Factor}=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}

K=\frac{3}{6}

K=\frac{1}{2}

The scale factor is 1/2. Therefore the correct option is 1.

BaLLatris [955]3 years ago
4 0
When the dilation is about the origin, the scale factor multiplies every coordinate. That is (considering the x-coordinate) ...
  6·k = 3
  k = 3/6 = 1/2

The appropriate choice is
  1. 1/2
You might be interested in
The amount of money in Toni's savings account after x weeks is described by the function f(x) = 5x + 20. Which best interprets t
musickatia [10]

Answer:

Toni's account started with 20 and increased by 5 each week.

Step-by-step explanation:

20 is the intial amount and 5 is the rate of change.

7 0
4 years ago
Use the table of values below to select the correct statement.
quester [9]

Answer:

Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.

Step-by-step explanation:

Notice that both columns of reported x and y values are increasing.

Then examine how the given x-values  increase:

-2, 2, 6, 10, 14  (in steps of 4 units)

and how their corresponding y-values increase:

-2, 8, 18, 28, 38  (in steps of 10 units)

therefore, if we do the rate of change for any pair (x_1,y_1) and (x_2,y_2), we get the following constant rate of change:

\frac{y_2-y_1}{x_2-x_1} = \frac{10}{4} =2.5

Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5

8 0
3 years ago
Which of the following are square roots of —8 + 8i/3? Check all that apply.
8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

(\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

\frac{48}{b^2}-b^2=-8

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = \frac{4\sqrt{3}}{b}

For b = ±2i,

a = \frac{4\sqrt{3}}{\pm2i}

  = \pm\frac{2i\sqrt{3}}{(-1)}

  = \mp 2i\sqrt{3}

But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

6 0
3 years ago
Please help!<br><br> 7.5 in = ________ cm
Naya [18.7K]
The answer is 18 cm because 2.4 cm is in 1 inch. you must multiply 7.5 by 2.4 and get 18
3 0
3 years ago
Read 2 more answers
If U work overtime you will received and half for every hour over 40 hours I want to make an extra $300 by working overtime I ne
klasskru [66]

Answer:

kkk

kkkkkkkkkkkkkkkkk

Step-by-step explanation:

kkk

k

7 0
3 years ago
Other questions:
  • Credit cards place a three digit security code on the back of cards. What is the probability that a code starts with the number
    10·1 answer
  • At what altitude did the balloon remain the longest? how long was that ?
    15·1 answer
  • What is the next object in the pattern below
    10·1 answer
  • The length of EF in the right triangle
    15·2 answers
  • How many solutions does the equation −3y + 3y + 4 = 4 have?
    13·2 answers
  • You work at a car dealership and are told that a certain car is to sell for $12,080, which will include financing for 5 years (6
    14·1 answer
  • The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation
    15·1 answer
  • UVWX is a parallelogram. What is the measure of angle XUV?
    14·1 answer
  • Find the quotient (answer)
    9·2 answers
  • The bar graph shows the rents paid per month for apartments in an urban neighborhood. The curve shows that the rents are normall
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!