RSTis graphed on a coordinate plane below. The triangle undergoes two
transformations and the new vertices are R"(4,2), S"(8,2), and T"(8,-6). Determine
the transformations and the order in which they were applied.


A. 90° counter-clockwise rotation, then reflected across the y-axis

B. Reflected across the y-axis, then a 90° counter-clockwise rotation

C. 90° counter-clockwise rotation, then reflected across the x-axis

D. Reflected across the y=x, then a 90° counter-clockwise rotation

RSTis Graphed On A Coordinate Plane Below. The Triangle Undergoes Twotransformations And The New Vertices

Answers

Answer 1

Answer:C

Step-by-step explanation:

Answer 2

Transformation involves changing the position of a shape

The transformations and the order in which they were applied are:

A. 90° counter-clockwise rotation, then reflected across the y-axis

From the figure, the coordinate of RST is:

[tex]R= (2,4)[/tex]

[tex]S = (2,8)[/tex]

[tex]T =(-6,8)[/tex]

Using R to illustrate the transformation.

We have

[tex]R= (2,4)[/tex]

First, R is rotated 90 degrees counterclockwise

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](2,4) \to (-4,2)[/tex]

Next, the point is reflected across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](-4,2) \to (4,2)[/tex]

From the question, we have the coordinate of R" to be;

[tex]R: =(4,2)[/tex] --- same as the result of the above sequence

Hence, option (A) is correct

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Related Questions

the polygon in each pair are similar.find the missing side length.

Answers

the answer should be 8..

Answer is 8 hope this helps!

Jamon can type 300 words in 8 minutes. At this rate, how many words can he type in 20 minutes?

Answers

Ok so I did the math and got 750! Correct me if I’m wrong please! :)

A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.

Answers

Answer:

it will take her 40 seconds to finish the race.

3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds

(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)

Step-by-step explanation:

I hope this helps :)

I need somebody
(Help!) not just anybody help

Answers

Answer:

It is C √2/2

Step-by-step explanation:

Simplify the following expression by combining like terms. Then select the
correct answer from below.
2 + 30 – 3+232 +8 - 53

Answers

Answer:

216

Step-by-step explanation:

2+30-3+232+8-53

32-3+232+8-53

29+232+8-53

261+8-53

269-53

216

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?

Answers

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

What is the slope of a line perpendicular to 5y + 3x = 15

Answers

Answer:

Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.

Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15

Answers

Answer:

y = 12x-15

Step-by-step explanation:

The equation of a line is given by :

[tex]y=mx+c[/tex]

Where

m is slope and c is y-intecept.

Here, the slope is 12 and y-intercept is -15.

Then the equation is :

y = 12x+(-15)

or

y = 12x-15

Hence, the required equation for the line is "y=12x-15".

Which expression is equivalent to (4x^4/2x^3)^3?

A) 2x
B) 8x
C) 8x^3
D) 16x^21

Answers

Answer:

None are you sure you have the right expressions.

Step-by-step explanation:

(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21

If r = 12 cm, what is the area of this sector? Express your answer to the nearest tenth of a centimeter.​

Answers

Answer:

339.3 cm

Step-by-step explanation:

12 • 12 = 144

Find 144π

Find 3/4 of it

Answer:

339.3 to nearest tenth of cm^2.

Step-by-step explanation:

This is 3/4 of a circle so the area is:

3/4 * pi r^2

= 3/4 * 12^2 pi

=  108 pi

= 339.292

One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.

Answers

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

Match the story with an equation.
Elena has a 8 foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long. She
then cuts the remaining piece into four pieces of equal lengths.

Answers

Answer:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

Step-by-step explanation:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

6/4 is the length of the each ribbon piece.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Elena has a 8 foot piece of ribbon.

Elena cuts off a piece that is 1/4 of a foot long.

The ribbon cutt off by Elena is 1/4×8=2

The remaining ribbon is given by 8-2=6

cuts the remaining piece into four pieces of equal lengths.

6/4.

Hence, 6/4 is the length of the each ribbon piece.

To learn more on Equation:

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What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9

Answers

[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]

The solution is, the values of a = -14, b= -9, c = -12.

What is Matrix?

Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

here, we have,

A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.

We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.

and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.

we get,

the addition of the two given matrices is,

[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]

Then, the values of a = -14, b= -9, c = -12.

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Find the total amount given the original price and tax or tip rate. Round to the nearest hundredth if necessary.

Original price: $156.67

Tax or tip rate: 6%

Answers

Answer:

Step-by-step explanation:

if we tip/tax  6% of 156.67 we will do:

156.67*(6/100)=9.40 this is the amount of tip

156.67+9.40=166.07

Write the following using index notation:

a)2 x 2 x 2

b)x3 x 3 x 3 x 3

c)4 x 4 x 4 x 5 x 5

d)9 x 7 x 9 x 9 x 7 x 9​

Answers

Answer:

A) 2^3

B)3^4

C)4^3*5^2

D)9^4*7^2

Step-by-step explanation:

Is this statement true or false?
p = 2 is a solution to p – 5 <20


O true
O false

Answers

Answer:

true

Step-by-step explanation:

Answer:

it is the solution

Step-by-step explanation:

because p is 2

2-5<20

-3<20 which is true

Lela records her bank transactions in her checkbook. The table shows some of her
recent entries. Today, Lela wrote a check for $15 to her mom. How should she record
this amount in her checkbook?

Answers

Answer:

B -15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

she has -15

What type(s) of symmetry does the figure have? (Check all that apply.)
Line Symmetry
Rotational Symmetry
None

Answers

Answer:

Rotational Symmetry

Step-by-step explanation: It stays the same when rotated

HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE

Answers

Do you wanna build a snowman or ride our bikes around the halls

Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”

Answers

Answer:

The first statement is a lie, second and third statement is true.

Step-by-step explanation:

Consider the provided information.

For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.

For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].

For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.

It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.

It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].

It is given that the ratio of the altitude is 3:1 which is correct.

Hence, the first statement is a lie, second and third statement is true.

What is the congruence theorem used to prove that the two triangles are congruent?

Answers

SSS ( side by side) is the congruence theorem used to prove two triangles are congruent.

A car dealership pays a wholesale price of $12,000 to purchase a vehicle.

During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle? Show your work.

Answers

Answer:

$10800

Step-by-step explanation:

$12000 is the original price so let's set that as 100%. Since there's a 10% discount, you have to find out the 90% soo.

100% - $12000

90% - $12000 x 90/100 = $10800

given the equation f(x) = -2x^2 + 4x + 6, find the average rate of change from x = 1 and x = 2

Answers

Answer:

-2

Step-by-step explanation:

Average rate of change is another term for average slope, and is found with the equation

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2} }[/tex]

The first point is (1, 8). The second point is (2,6).

[tex]m=\frac{8-6}{1-2} \\m=-2[/tex]

what is the answer to this solution. -7r−4≥ 4r+2

Answers

Answer:

The solution is:

[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

[tex]-7r-4\ge \:4r+2[/tex]

Add 4 to both sides

[tex]-7r-4+4\ge \:4r+2+4[/tex]

Simplify

[tex]-7r\ge \:4r+6[/tex]

Subtract 4r from both sides

[tex]-7r-4r\ge \:4r+6-4r[/tex]

Simplify

[tex]-11r\ge \:6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]

Simplify

[tex]11r\le \:-6[/tex]

Divide both sides by 11

[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]

Simplify

[tex]r\le \:-\frac{6}{11}[/tex]

Therefore, the solution is:

[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]

Please check the attached line graph below.

Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and R, given that triangles A and B are similar.

Answers

hi i know i’m late but to help out any future people, the answer is

Row One: Statement: 3/2=slope Reason: Definition of Slope

Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B

Answer:

Step-by-step explanation:

A six-sided die is rolled 2 times. What is the fractional probability of rolling a 6 the first time and an even number the second time?​

Answers

The probability of getting 6 the first time and an even number the second time is 1/12.

what is probability?

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

to get more about probability refer to:

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WILL MARK BRAINLIEST

Answers

Answer:

b = 6

Step-by-step explanation:

a² + b² = c²

8² + b² = 10²

8² + b² - 8² = 10² - 8²

b² = 100 - 64 = 36 = 6²

b = 6

B = 6 bc I took a long times



How much times can two go into six ​

Answers

Answer:

3 because if you can only make two groups of three

(and how do you not know this? I really dont want to be rude)

Answer:

3

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the legs, and "c" is the hypotenuse.

It is given that;

b = 15.

c = 17

a = x

[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]

[tex]x^2[/tex] + 225 = 289

[tex]x^2[/tex] = 64

x = 8

To find the area of a square, one has to raise one of the sides to the power of two.

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

It is difficult to change how good I am at math even if I try hard and practice a lot.
A. strongly agree
B. agree
C. disagree
D. strongly disagree

Answers

Answer:

B

Step-by-step explanation:

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