Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2): a) 180° rotation about the origin b) dilation with scale factor of 2 using the origin as the center

Answers

Answer 1

Answer:

[tex]L" = (-6,0)[/tex]   [tex]M" = (-8,-6)[/tex]   [tex]N" = (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]L = (0,3)[/tex]

[tex]M = (3,4)[/tex]

[tex]N = (1,2)[/tex]

Required

Determine the new coordinates of L, M and N

Applying (a): 180 degrees rotation about the origin

When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]

So:

[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]

[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]

[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]

Applying (b): Dilation of scale factor, 2

The formula to apply here is;

[tex]New = Old * Scale\ Factor[/tex]

So:

[tex]L' = (-3,0)[/tex] becomes:

[tex]L" = L' * 2[/tex]

[tex]L" = (-3,0) * 2[/tex]

[tex]L" = (-6,0)[/tex]

[tex]M' = (-4,-3)[/tex] becomes:

[tex]M" = M' * 2[/tex]

[tex]M" = (-4,-3) * 2[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N' = (-2,-1)[/tex]

[tex]N" = N' * 2[/tex]

[tex]N" = (-2,-1) * 2[/tex]

[tex]N" = (-4,-2)[/tex]

Hence;

The new coordinates are:

[tex]L" = (-6,0)[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N" = (-4,-2)[/tex]


Related Questions

twice as many dimes as quarters I have a $1.80 total how many dimes do I have ​

Answers

Answer:

The answer is 8 dimes

Step-by-step explanation:

4 quarters x 2 = 8

8 dimes

1.00 + 0.80 = $1.80

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.
\[x^2 + 22x + \underline{~~~~}.\]

Answers

121.

Check: x^2+22x+121=(x+11)^2

Answer: 121

Step-by-step explanation:

The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].

Applying the formula, we see that the only option for b is 11 squared, or 121.

Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20

Answers

Answer:

D.

Step-by-step explanation:

The function f gives the temperature in degrees Celsius t hours after midnight.

Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).

For 1:00 AM, 1 hour after midnight, we will have f(1).

And for 12:00 PM (noon), we will have f(12).

We want to find the equation that represents the temperature at 1:30 PM.

1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.

Therefore, the correct statement would be:

f(13.5)=20.

Hence, our answer is D.

Notes:

A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.

Answer:

d

Step-by-step explanation:

If the two congruent angles (angles A and B) of an isosceles
triangle are each twice the third, non-equal angle. (angle C)
find the measure of the non equal angle, angle C.

Answers

Answer:

If the third angle is x, the other two angles are 2x

 

The measure of the angles of a triangle must add up to 180 degrees

 

x + 2(2x) = 180

 

x + 4x = 180

 

5x = 180

 

x = 36

 

The other two angles are 2x = 2 * 36 = 72

 

The three angles are 36, 72, and 72 degrees

Step-by-step explanation:

EXAMPLE-

x+2x+2x=180

5x=180

x=180/5

x=36º third angle

the equal angles are each 2*36=72º

The required measure of three angles are 36, 72, and 72 degrees in the given triangle.

What is an Isosceles Triangle?

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

Given that the third angle is x, the other two angles are 2x

We know that the measure of the angles of a triangle must add up to 180 degrees.

As per the given question, the equation would be as:

x + 2(2x) = 180

x + 4x = 180

5x = 180

x = 36

So, the other two angles are 2x = 2 × 36 = 72

Therefore, the required measure of three angles are 36, 72, and 72 degrees in the given triangle.

Learn more about Isosceles Triangle here:

brainly.com/question/2456591

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Express as a trinomial, .
(2x - 1)(3x– 4)

Answers

Answer:

6x2-11x+4

..........

Leah bought 8/9 of a pound of grapes. She is putting the grapes into bags that each hold 2/9 of a pound. How many bags will Leah need?

Answers

Answer:2+2=4

Step-by-step explanation:bc I different

how are multiplying and factoring similar

Answers

Answer:

Multiplying and factoring are similar as they both deal with what make up a number. Factors are multiplied to become numbers, and numbers are multiplied to become multiples.

serious question... give me 3 reasons why phones are important and ill give brainly( please help me i dont wanna joke around i actually need the answer)

Answers

Answer:

The number one reason why phones are important is to use it as a way of communication. This can help connect people to the outside world & can open up the minds of younger people. The second reason why phones are important is in the case of emergencies. This can help parents make sure they know where their child is at any given time. & lastly, the main reason is that it can be used in education. Phones can be great for researching things, & getting projects/homework done.

Hope this helps!!!

can someone answer this easy proof

Answers

Answer: in picture

Step-by-Step: See Picture

If this is helpful, please mark me brainliest :)

PLS ANSWER NO MESSING AROUND PLSSSSSS TWO PEOPLE ALREADY FAKED IT

Answers

Answer:

Step-by-step explanation:

1). 3

2). $23.63

3). 18.1 seconds

F(x) = x^2 - 5x+8, g(x) = x^2-4
Find g(x)-f(x)

Answer Choices:
-5x-4
5x+12
5x-12
-5x-12

Answers

Answer:

-5x -12

Step-by-step explanation:

BRAINLIEST PLEASE

Aaaaa pls help ASAP on the second unanswered one
30 points!!

Answers

Answer:

A is the answer

Easy way:

Figure out all of the slopes in the choices and see which one is different.

Answer:

The answer is A.

Step-by-step explanation:

Hope that helps!! Please give me brainliest!!

Consider the graph below.
N
1
-3 -2 -1
1
2
3
4
5
3
-4
Which of the following inequalities defines the shaded region of the graph above?
v> 3x
y 2 3x + 1
y 23x - 1
y 21 - 3x

Answers

Answer:

C

Step-by-step explanation:

Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on

Answers

Answer:

The seating capacity of the auditorium is 2,340.

Step-by-step explanation:

This question relates to an Arithmetic Progression (AP).

An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.

Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:

Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)

Where;

n = number of rows = 30

a_1 = Number seats in the first row = 20

d = Common difference = 24 - 20 = 28 - 24 = 4

Substituting the values into equation (1), we have:

Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))

Seating capacity =  15 * (40 + (29 * 4))

Seating capacity =  15 * (40 + 116)

Seating capacity =  15 * 156

Seating capacity = 2,340

Therefore, the seating capacity of the auditorium is 2,340.

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?

A) 64
B) 128
C) 8
D) 4

Answers

Answer:

the anser is 64 cups

Step-by-step explanation:

half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64

pls mark brainliest

Answer:

A. 64 cups

Step-by-step explanation:

There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.

If this helped you, which I hope it did, please click the thanks button below.

Thank you! :-D

10x f ( 7 ) + 9 x g(-1) =

Answers

Answer:

what are you trying to look for the variables or answer?

Step-by-step explanation:

I want to do someone's IXL'S preferably math

Answers

Answer:

R u asking or u telling

Step-by-step explanation:

Calculate the average rate of change for the given graph from x = -2 to x = 0

Answers

Answer: x goes from 0 to 2, y changes from 0 to -2

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
(6m -7) x 4 can someone pls answer fastt.

Answers

Answer:

24m-28

Step-by-step explanation:

We have to multiply each term inside the parenthesis by 4, so we get the result

Quadratic – vertical compression by a factor of 1/3, vertical shift up 5 units

Answers

Answer:

Step-by-step explanation:

I used a site it won't let me mention... for this graph

This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...

[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]

The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertical compression by a factor of 1/3, vertical shift up 5 units.

a = 3

(h, k) = (0, 5)

Then the equation will be

y = 1/3(x – 0)² + 5

y = (1/3)x² + 5

More about the parabola link is given below.

https://brainly.com/question/8495504

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True or False: |18 - 7| = |18|+ |-7|

Answers

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|18 - 7| = |18| + |-7|

Step 2: Check

Subtract:                    |11| = |18| + |-7|Evaluate:                    11 = 18 + 7Add:                           11 ≠ 25

Here we see that 11 does not equal 25.

∴ The statement is false.

Answer:

false

Step-by-step explanation:

because th abosulte value of negative 7 is positive 7 then the equation would not be equal

A 56 inch of pipe is cut into two pieces. One piece is 8 inches longer than the other. How long is each piece?

Answers

i believe one piece is 20 and the other is 36 because when you divide 56 by 2 it’s 28 and subtract 8 from 28 leaves you with 20 and adding 8 to 28 is 36.

A yardstick casts a shadow of 24 in. At the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the telephone pole, to the nearest inch? (1 yd = 36 in., and 1 ft = 12 in.)

Answers

Answer:

372 inches

Step-by-step explanation:

(1 yd = 36 in., and 1 ft = 12 in.)

1 yard stick = 24 in

This means , height of 36 inches casts a shadow of 24 Inches

At the same time a telephone pole casts a shadow of 20 ft 8 in

1 ft = 12 in

Hence,

Convey 20ft to inches

1 ft = 12 in

20 ft = 20 × 12 inches

= 240 inches

Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches

Hence,

Height/Length of shadow = Height/Length of shadow

36/24= x /248

Cross Multiply

24 × x = 36× 248

x = 36 × 248/24

x = 372 inches

The height of the telephone pole, to the nearest inch is 372 inches

Plot the line for the equation on the graph.





y−2=−2(x+4)

Answers

Answer:

(-3,0) and (0,-6)

Step-by-step explanation:

A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. (See figure.) How long is the pass? (Round your answer to the nearest yard.)

Answers

The answer would be 44.9 yard.

Which expression is a difference of cubes?
9w33 - y12
18p15-q21
36a22-b16
64c15 - d27

Answers

Answer:

D. 64c15 - d27

Step-by-step explanation:

A. 9w33 - y12

No. 9 is not a perfect cube

B. 18p15-q21

No. 18 is not a perfect cube

C. 36a22-b16

No. 36 is not a perfect cube and 16 is not divisible by 3

D. 64c15 - d27

Yes. (4c^5)^3 - (d^9)^3

Answer:

Answer:

D. 64c15 - d27

Step-by-step explanation:

A. 9w33 - y12

No. 9 is not a perfect cube

B. 18p15-q21

No. 18 is not a perfect cube

C. 36a22-b16

No. 36 is not a perfect cube and 16 is not divisible by 3

D. 64c15 - d27

Yes. (4c^5)^3 - (d^9)^3

Step-by-step explanation:

Find the solutions using the Quadratic Formula.
x2 – 5x-14 = 0

Answers

Answer is X=-2 ,x=7

(X+2) (x-7) =0

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Describe a situation in which you could use scaling to solve a real-world problem.

Answers

Answer:

lol

Step-by-step explanation:

what the hell where I the question lol

If you can, please help me! I'll give brainliest (if I can.)​

Answers

Answer:

The intersection of the sets A, B, and C is Bird.

Set B contains Fish, Lizard, Turtle, Bird, and Dog.

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