What composition of rigid motions maps ΔPQR to ΔXZY?


A. T<1, 3> ◦ r(270°, O)


B. Rx = 0 ◦ T<0, 2>


C. T<6, 2> ◦ Rx = −2


D. Ry = −2 ◦ T<6, 0>

Answers

Answer 1

Answer:

reflection across x=1, translation up 2

units

Step-by-step explanation:

The order of vertices PQR is

clockwise, and the order of XZY

is counterclockwise. This means a

reflection is involved. The longest and

shortest sides are at the left and bottom

of APQR, and at the right and bottom

of AXZY, indicating the reflection is

left-right, not up-down.

Line x=1 contains the midpoints of

segments PX, QZ, and RY, so that is a

suitable line of reflection. Once APQR

is reflected over that line, it needs to be

translated upward 2 units to coincide

with AXZY.

The motions are ...

.

reflection over x=1

translation up 2

.

The motions could also be ...

reflection over y, translation right 2 and

up 2.

ANSWER

Answer 2

The composition of rigid motions maps ΔPQR to ΔXZY is T<6, 2> ◦ Rx = −2. The correct option is C.

What are rigid motion maps?

In rigid motion, the position or orientation of the entire set changes without affecting the separation between the line segments. A triangle, for instance, can turn or slide but not extend or squeeze.

PQR's vertices are in clockwise and XZY's are in a counterclockwise sequence. This indicates that a reflection is necessary. The reflection is left-right, not up-down, as evidenced by the longest and shortest sides being on the left and bottom of A PQR, and on the right and bottom of AXZY, respectively.

The midpoints of the segments PX, QZ, and RY are on line x=1, making it a viable line of reflection. To match with AXZY, APQR must be translated upward 2 units after crossing that line.

Therefore, the correct option is C. T<6, 2> ◦ Rx = −2.

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The question is incomplete. Your most probably complete question is given below:

The image is added.

What Composition Of Rigid Motions Maps PQR To XZY? A. T&lt;1, 3&gt; R(270, O) B. Rx = 0 T&lt;0, 2&gt;

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Self-control could be defined as the conscious ability to regulate impulses voluntarily, if we don't feel self-control relational processes becomes disrupted.

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The Image demonstrates the legacy of:
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Answer:

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In a cluster sample:

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In a cluster sample only convenient members of the population are chosen. The correct option is D.

What is cluster?

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Answers

By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.

If  all students study either French or German or both, the least number of students that will study French will be

70/100 x 201

140. 7

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The least number of students that will study German will be

40/100 x 201

80.4

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150.75

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100 students ( Because approximation can't be done twice)

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Answers

Answer:

FOIL = First terms, outer terms, inner terms, and last terms. The product of the first terms is 24 (4*6). The product of the outer terms is -12i(4*-3i). The product of the inner terms is 18i(3i*6). The product of the last terms is -9i^2(3i*-3i). "i^2"= -1 So, -9*-1= 9.

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Answer:

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Answer:

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Answer:

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Explanation:

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The first one. Skshsbeebshshshdhdbdbdbd

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Answer:

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Explanation:

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Answer:

Energy investment phase. Glucose is first converted to fructose-1,6-bisphosphate in a series of steps that use up two ATP. Then, unstable fructose-1,6-bisphosphate splits in two, forming two three-carbon molecules called DHAP and glyceraldehyde-3-phosphae.

Explanation:

hope it helps you

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Answer:

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Which statement is FALSE concerning the Qur'an:

1.
The Qur'an discusses personalities found in Jewish and Christian Bibles

2.
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3.
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4.
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Answers

Answer:

Only the Arabic version is considered to be fully authoritative

Explanation:

Read the following poem carefully before you choose your answer.

The following poem is addressed to a friend of the speaker.

Then hate me when thou wilt; if ever, now;
Now, while the world is bent my deeds to cross,
Join with the spite of fortune, make me bow,
And do not drop in for an after-loss:
(5) Ah, do not, when my heart has 'scaped this sorrow,
Come in the rearward of a conquered woe;
Give not a windy night a rainy morrow,
To linger out a purposed overthrow.
If thou wilt leave me, do not leave me last,
(10) When other petty griefs have done their spite;
But in the onset come, so shall I taste
At first the very worst of fortune's might;
And other strains of woe, which now seem woe,
Compared with loss of thee, will not seem so.
(1609)

Which of the following best describes the function of the poem's couplet?

A) It challenges the notion that the relationship will end.
B) It discounts the speaker's concerns with a hint of possible change.
C) It introduces an explanation for the speaker's strong feelings.
D) It remarks on the recipient's sudden and unexpected change of heart.
E) It summarizes why the relationship should be dissolved now.

Answers

Answer:

b is the answer if not sorry

The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

What is fortune's night?

This particular sonnet and those which are numbered 1-126 belong to Shakespeare’s famous Fair Youth sequence. These poems are devoted to a young, beautiful man whose identity remains unknown to this day. There has been a great deal of speculation about who this young man could possibly be, but no single identity has ever been decided upon.

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Therefore, The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

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What statement is incorrect about natural selection

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Answer: What statement is incorrect about natural selection

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What are the advantages and disadvantages of two-wheeled transportation?
edge2021

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howdy! ^_^

the sample response from edge is

Two-wheeled transportation is an inexpensive way of traveling in comparison to cars, they conserve energy, and require little parking space. The disadvantages are they have high accident rates, requires special skill, constant attention, and requires the use of appropriate safety equipment.


hopefully this helps! goodluck<3

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Answer:

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John notices Jimmy taking $5 from the cash register at the end of the night. Jimmy says that the company owes him for making him work three Friday nights in a row. Jimmy also asks John not to tell anyone. John’s ethical duty is to ______. a. Stay loyal to Jimmy and not turn him in b. Forget the incident because it doesn’t involve him c. Ask Jimmy for half the money not to tell d. Turn Jimmy in despite his protests Please select the best answer from the choices provided A B C D

Answers

Answer:

Explanation:

super subjective, but i assume they want D

John’s ethical duty is to turn Jimmy in despite his protests, hence option D is correct.

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Work Ethics are a set of standards, values, and moral with which employees executes their duties e,g Integrity.

In this case, if John does not turn Jimmy in, he will be an accomplice which is unethical also.

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1. f(x) = 2x^3 -3x. If h(x) is the inverse function of f, then h'(-1) =

I believe the correct answer is 1/3, but I don't know how to get it.

Answers

If f and h are inverses of one another, then we have

h(f(x)) = x

Differentiating both sides using the chain rule gives

h'(f(x)) • f'(x) = 1

Let f(x) = -1. Then it would follow that

h'(-1) = 1/f'(x)

for the value of x such that f(x) = -1. This result is known as the inverse function theorem.

Solve for x such that f(x) = -1 :

2x³ - 3x = -1

2x³ - 3x + 1 = 0

By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of

(x - 1) (2x² + 2x - 1) = 0

and using the quadratic formula, we find three solutions,

x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2

Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.

We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :

f'(x) = 6x² - 3 = 0   ⇒   x² = 1/2   ⇒   x = ± 1/√2

Check the sign of the second derivative at each critical point:

f''(x) = 12x

• f''(-1/√2) = -12/√2 < 0   ⇒   x = -1/√2 is a local maximum

• f''(1/√2) = 12/√2 > 0   ⇒   x = 1/√2 is a local minimum

Now we have a few choices of how to define the inverse of f(x).

• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,

f((-1 - √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6

• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then

f((-1 + √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6

• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then

f(1) = -1   ⇒   h'(-1) = 1/f'(1) = 1/3

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