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
pshichka [43]
3 years ago
8

How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? E

xplain your reasoning.
Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

The image of point (x , y) by dilation with center origin and scale factor k is (kx , ky)

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* <u><em>In a problem  of dilation </em></u>

∵ The center of dilation is the origin

∵ The scale factor of dilation is k

∵ The point is (x , y)

- In dilation with center origin and scale factor k to find the image

 of the point multiply each coordinates of the point by the scale

 factor k because the distance d between the point and the

 origin will be equal kd which is the distance between the origin

 and the image of the point d is depending on the coordinates

 of the point

∴ <u><em>The image of point (x , y) by dilation with center origin and </em></u>

<em>    </em><u><em>scale factor k is (kx , ky)</em></u>

* <u>Ex:</u> If point A is (3 , 4)

∵ The distance from the origin to point A = \sqrt{(3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}=5

∵ The scale factor of dilation is 2 and the center is the origin

∴ The image of A is A' = (3 × 2 , 4 × 2) = (6 , 8)

∵ The distance from the origin to point A' = \sqrt{(6)^{2}+(8)^{2}}=\sqrt{36+64}=\sqrt{100}=10

∵ 10 ÷ 5 = 2 which is the value of the scale factor

∴ The image of point (x , y) by dilation with center origin and

   scale factor k is (kx , ky)

You might be interested in
How can you know if this equation is true?<br> 1/3+1/5=2/8=1/4
m_a_m_a [10]

Answer: This statement isn't true.

Step-by-step explanation: By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

5 0
3 years ago
Solve for x. Someone please help me I really need it.
valkas [14]

Answer: X= 3.75

HOPE THIS HELPS:)))))

Step-by-step explanation:

5 0
2 years ago
Find 38% of the number 405. a. 153.9% c. 1065.79 b. 153.9 d. 15,390
vredina [299]
A.) 153.9 would be your answer!<span>
</span>
3 0
3 years ago
Help me plz need help
atroni [7]

Answer:

Concept: Area

  1. area = \pi {r}^{2}
  2. We are given area hence 78.5 square meters
  3. We want the radius so we isolate
  4. 78.5 = \pi {r}^{2}
  5. Isolate for r to get r= 4.99 or 5 square units approximately
4 0
2 years ago
Read 2 more answers
For his phone service, Chris pays a monthly fee of $23, and he pays an additional $0.06 per minute of use. The least he has been
meriva

9514 1404 393

Answer:

  m ≥ 1181

Step-by-step explanation:

Chris's minimum charge indicates he uses his phone more than m minutes, where ...

  23 +0.06m ≥ 93.86

  0.06m ≥ 70.86

  m ≥ 1181

Chris uses his phone at least 1181 minutes per month.

6 0
2 years ago
Other questions:
  • Devon will drive 7×3 or 21 miles in 7 hours. Logan will drive 7×3 or 21miles in 7 hours so logan will drive _ or how many miles
    9·1 answer
  • Entre Juan, Pedro, María y Luis tienen 62 cartas. Pedro tiene un tercio de las cartas de Juan. María tiene 3 cartas menos que Ju
    7·1 answer
  • (–1) + 5 – (–6) – 5 = <br><br> A. –3<br> B. 5<br> C. 0<br> D. –2
    13·2 answers
  • Find the measure of angle A
    10·1 answer
  • A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
    6·1 answer
  • Elections In a mayoral election, the number of votes for the incumbent was
    12·1 answer
  • 19y + 15x<br> Greatest common factor?
    15·2 answers
  • Please help me with this problem, thank you!
    9·1 answer
  • Hey, i need help!! Giving brainliest!
    15·1 answer
  • I need help with my math please help ASAP.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!