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
kap26 [50]
3 years ago
9

Which sequence of transformations produces R’S’T’ from RST?

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

You might be interested in
1. D=5.9 ft.
Shtirlitz [24]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Here's the solution ~

As we know, we can calculate the circumference of a circle in terms of its diameter as :

\qquad \sf  \dashrightarrow \:c =  \pi d

where, c = circumference and d = diameter

And also, circumference of circle is terms of radius (r) is :

\qquad \sf  \dashrightarrow \:c =  2\pi r

Now, let's move on to questions ~

<h3>First </h3>

\qquad \sf  \dashrightarrow \:3.14 \times 5.9

\qquad \sf  \dashrightarrow \: \approx18.53 \: ft

<h3 />

・ .━━━━━━━†━━━━━━━━━.・

<h3>Second</h3><h3 /><h3 /><h3 /><h3>\qquad \sf  \dashrightarrow \:3.14 \times 3.2</h3>

\qquad \sf  \dashrightarrow \: \approx10.048 \: ft

・ .━━━━━━━†━━━━━━━━━.・

<h3>Third</h3>

\qquad \sf  \dashrightarrow \:3.14 \times 6.1

\qquad \sf  \dashrightarrow \: \approx19.15 \: ft

・ .━━━━━━━†━━━━━━━━━.・

<h3>Fourth</h3>

\qquad \sf  \dashrightarrow \:2×3.14 \times  3.7

\qquad \sf  \dashrightarrow \: \approx2×11.62  \: m

\qquad \sf  \dashrightarrow \: \approx23.24  \: m

・ .━━━━━━━†━━━━━━━━━.・

<h3>Fifth </h3>

\qquad \sf  \dashrightarrow \:2×3.14 \times  6.2

\qquad \sf  \dashrightarrow \: \approx2× 19.47 \: units

\qquad \sf  \dashrightarrow \: \approx38.94  \: m

・ .━━━━━━━†━━━━━━━━━.・

<h3>Sixth</h3>

\qquad \sf  \dashrightarrow \:2×3.14 \times  5.1

\qquad \sf  \dashrightarrow \: \approx2×16.01 \: ft

\qquad \sf  \dashrightarrow \: \approx \: 32.02m

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

7 0
2 years ago
Write an equation of the line that passes through (2,-4) and (0,4)
LenKa [72]

Answer:

step 1. y - y1 = m(x - x1). this is the equation given a point and a slope.

step 2. find the slope m. m = (y2 - y1)/(x2 - x1) = (4 - (-4))/(0 - 2) = 8/-2 = -4.

step 3. y - (-4) = -4(x - 2) ; y + 4 = -4x + 8.

step 4. y = -4x + 4.

7 0
3 years ago
What is the least common denominator of 1/2, 2/3 and 3/4
Vinil7 [7]

Answer:

6/12, 8/12, and 9/12.

Step-by-step explanation:

Let's find the least common denominator:

First, the least common multiple of 2, 3, and 4 is 12.

12 is divisible by 2, 3, and 4.

<u>Next, multiply the denominators with the numerators:</u>

Products: 6/12, 8/12, and 9/12

7 0
2 years ago
What is the value of 'x'?
svp [43]

Answer:

93

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

52 + 35 + x = 180

87 + x = 180

x = 93 degrees

3 0
3 years ago
Not understanding how to solve
valentinak56 [21]

Answer:16x-4. You add all the numbers with common terms first, such as all the xs together. Then you add all the numbers without an x in front and tada!


Step-by-step explanation:Above


5 0
3 years ago
Other questions:
  • Andre is making paper cranes to decorate for a party. He plans to make one large papercrane for a centerpiece and several smalle
    10·1 answer
  • Tickets to a play cost $11 each. There is also a service charge of $4 per order. Write an equation for the relationship that giv
    14·2 answers
  • A coin is tossed 5 times. let x count the number of heads tossed. determine x hhtht ( ).
    10·2 answers
  • HELP PLZ WILL MARK BRAINLIEST
    9·2 answers
  • Help Hurry
    8·1 answer
  • What is 33x98756<br><br> Pls help give me way with no calculator
    13·2 answers
  • PLease help ill give brainliest
    8·1 answer
  • Find the volume of a shoe box that measures 7 inches by 18 inches by 14 inches
    14·2 answers
  • Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3,7)?
    14·1 answer
  • Given f(x) = 6x + 2, find f(x-3)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!