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
timofeeve [1]
2 years ago
14

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​

Mathematics
1 answer:
Anestetic [448]2 years ago
6 0
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

You might be interested in
43) 982<br> With a remainder
Vikentia [17]

Answer:

22.36

Step-by-step explanation:

4 0
3 years ago
You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
2 years ago
Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees
andre [41]
Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees.

Answer: Out of all the options shown above the one that represents the counterexample that proves that the conjecture presented above is false is answer choice 2. Angle b is 90 degrees. The reason being that in a right angle there is only one angle that measures 90 degrees.

I hope it helps, Regards.
6 0
3 years ago
Read 2 more answers
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
Paraphin [41]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

If you have 10 on one side, you divide 10 by 1/4 to get 40. So you need 40 blocks to fill one side, and 3 1/2 on the other only needs 14. 14*40=560.

8 0
3 years ago
PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK
Talja [164]

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

7 0
2 years ago
Read 2 more answers
Other questions:
  • I need details please
    6·1 answer
  • Simplify the expression.<br><br>x^5/x^9<br><br>a. 1/x^4<br><br>b.x^14<br><br>c. 1/x^14<br><br>d.x^4
    14·1 answer
  • A norman window has the shape of a rectangle surmounted by a semicircle. (thus the diameter of the semicircle is equal to the wi
    8·2 answers
  • [(8-6 x 7]-3 can you guys tell me what's the answer?
    14·1 answer
  • What are the values of c makes x^2 + 6x + c a perfect square trinomial? <br> 3<br> 6<br> 9<br> 12
    10·1 answer
  • 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer
    10·1 answer
  • 5.
    10·2 answers
  • Please help will give brianliest
    8·2 answers
  • Solve the binomial (3x-2)^2​
    5·1 answer
  • si el anteayer del pasado mañana de mañana del ayer del mañana de hace 2 dias es el pasado mañana del mañana del mañana del ante
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!