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
Mama L [17]
3 years ago
5

What work would I do to answer this question?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

9514 1404 393

Explanation:

As you know, the correct answer choices are marked.

__

Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. <em>Any two lines with the same spacing</em> will give the same translation.

Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.

Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.

The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)

The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.

_____

<em>Additional comment</em>

We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...

  y -3 = -1(x -3)   ⇒   y = -x +6

Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...

  y -5 = -1(x -5)   ⇒   y = -x +10

These are two of the equations that are offered as answer choices, so should be selected.

As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.

You might be interested in
The mass of Hinto's math is 4,367 grams. What is the mass of 5 math books in kilograms?
suter [353]

Answer:

21.835 kilograms

Step-by-step explanation:

(4,367x5)/1000

7 0
3 years ago
‼️‼️10 points‼️‼️
My name is Ann [436]

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

8 0
3 years ago
Read 2 more answers
Pleasee help
Illusion [34]
Hydrosphere

hydro means water
7 0
3 years ago
I need an answer for this lolz
Ksenya-84 [330]

Answer:

Where is the coordinate plane?

Step-by-step explanation:

4 0
2 years ago
Solve for the exact values of x and y.<br> x = <br> y =
Soloha48 [4]

Answer:

Here is the solution...hope it helps:)

7 0
2 years ago
Other questions:
  • what is 7543762587646537659870970576434326 + 478964654513214375887o876u5464654353547566 divided by 9834790 x 4676696746436587697
    13·2 answers
  • Bisi leaves 5km from school. She walks 1km at 4km/h and travels the rest of the way by bus at 16km/h . what is the average speed
    7·1 answer
  • Prove this identity sin(2A)=2sinAcosA.
    12·1 answer
  • 18.There is no battery in this simulation. Move the magnet with the N pole toward the loops (coils) connected to the light bulb
    7·1 answer
  • 5. If three times a number is increased by 4, the result is -8.
    12·2 answers
  • How to do this question plz answer ​
    7·2 answers
  • A bag of 20 counters
    5·2 answers
  • I really need help. What is the answer?
    8·1 answer
  • Kate already owns 22 necklaces, and additional necklaces are priced at 2 for a dollar. With
    14·1 answer
  • Find the MEDIAN of his test scores.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!