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
What assumption have you made in answering part b​
emmasim [6.3K]

You're assuming that this data set represents all of Mrs. Hassaan's pupils. Certain students could be missing from the histogram - for instance, there could be one or two students who missed the test, but for certain reasons will be taking a make-up exam. Their grade would not be recording in this data set, but they still contribute to the class size, and so would be unaccounted for here.

4 0
2 years ago
Decide if the relationship described by the table of values is a function or not.​
gizmo_the_mogwai [7]

Answer:

Yes

Step-by-step explanation:

A function is a function when each domain is paired with exactly 1 range. So, this also means that there can't be a domain with more than 1 of the same number. Meaning 2 3's or 4 2's.

3 0
3 years ago
9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.
d1i1m1o1n [39]

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

6 0
3 years ago
The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.
Nikitich [7]

Answer:

G(x)=2x-1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can someone solve this?​
VLD [36.1K]

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • (01.03) Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion
    14·1 answer
  • What is the value of y?
    11·2 answers
  • What is the square root of 75643
    9·2 answers
  • A line passes through (4,5,) which points is also on the line
    7·1 answer
  • Divide 110 g of salt in ratio 5 : 8 : 9; what is the result ?
    12·1 answer
  • Looking for the 2 correct answers please
    15·1 answer
  • What is the quotient of the division?<br><br> 742 ÷ 7 = ?
    12·2 answers
  • Urgent!!!!! please help ​
    10·1 answer
  • Guys If you buy me a private island with a pterodactyl..:.. i’ll let you be in my Dino club for free :)
    14·2 answers
  • 4.42 × 10–10 4.2 × 1010
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!