(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (−1, 4) (1, −4) (4, −1) (−4, 1)

Answers

Answer 1

Answer:

(-1,4)

Step-by-step explanation:

 

Point B in the pre-image is at (-1,4).

 

If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:

Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:

Finally, a rotation by 180 degrees will give the coordinates of B' as:

The point B' will lie in (-1, 4) [ the same place as B].

Answer 2

The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.

Given:

The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

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

[tex]B(-1,4)\to B_1(-1,-4)[/tex]

If a figure reflected over y-axis, then

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

[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]

[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]

If a figure rotated 180 degrees about the origin, then

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

[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]

[tex]B_2(1,-4)\to B'(-1,4)[/tex]

So, the coordinates of point B' are [tex](-1,4)[/tex].

Therefore, the first option is correct.

Learn more:

https://brainly.com/question/12907061


Related Questions

The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.

Drag figures to each box so that their total area is equal to the number given.

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Answer:

what is the answer?

Step-by-step explanation:

Answer:

Answers are in the pictures.

Step-by-step explanation:

An item is regularly priced at $72. Keiko bought it on sale for 80% off the regular price. How much did she pay?

Answers

Answer:

$57.60

Step-by-step explanation:

find 50% = $36

find 10% = $7.20

triple $7.20 = $21.60

add £36 and $21.60 = $57.60

Help me with my math pls

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[tex]18 - ( \sqrt[3]{27} )^{3} [/tex]

Answer: -9

[tex]( \sqrt[3]{ - \frac{1}{8} } )^{3} + 3 \frac{3}{4} [/tex]

Answer: 3 5/8.

[tex]5 \sqrt[3]{729} - 24 [/tex]

Answer: 21.

[tex] \frac{1}{4} - 2 \sqrt[3]{ \frac{1}{216} } [/tex]

Answer: 7/12.

[tex]54 + \sqrt[3]{ - 4096} [/tex]

Answer: 38.

[tex]4 \sqrt[3]{8000 } - 6[/tex]

Answer: 74.

Please help will give Brainly

Answers

x³ = 1/49
x³ = 1/7²
∛(x³) = 1/∛7² = 1/7^(⅔) = 7^(-⅔)
x = 7^(-⅔)
The answer appears to be C, although there is an unexplained “⅔” below it.

Simplify: ⅕y - ⅗y + 5 - ⅖y - 8
pls

Answers

Answer:

The answer is -(4/5)y - 3.

Step-by-step explanation:

The steps are :

[tex] \frac{1}{5} y - \frac{3}{5} y + 5 - \frac{2}{5} y - 8[/tex]

[tex] = ( \frac{1 - 3 - 2}{5} y) + (5 - 8)[/tex]

[tex] = - \frac{4}{5} y - 3[/tex]

Step-by-step explanation:

⅕y - ⅗y + 5 - ⅖y - 8

-0.8y-3

-4/5y-3

JD opened a savings account with $400. The simple interest rate is 3% per year.
How much total money, including interest, will be in his account after 2 years?

Answers

Answer:

$424

Step-by-step explanation:

3%=0.03

400X0.03=12

12X2

24(2 YEARS)

400+24=$424

PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

Answers

Answer:

There are 14 5-point questions and 10 3-point questions.

Step-by-step explanation:

Form 2 equations:

Let x= 5-point questions

Let y= 3-point questions

1.) x+y=24

2.) 5x+3y=100

Use substitution by reforming equation 1 in terms of x or y (I used y)

1.) y=24-x

Sooo, substitute this into the y in the 2nd equation:

5x+3(24-x)=100

5x+72-3x=100

2x=100-72

2x=28

x=14

Now that we have x, substitute this into the 1st equation to get y:

1.) y=24-x

y=24-14

y=10

In conclusion, there are 14 5-point questions and 10 3-point questions.

Answer:

There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.

Step-by-step explanation:

14 x 5 = 70

10 x 3 = 30

70 + 30 = 100

14 + 10 = 24 questions total

is TT/2 irrational or rational

Answers

Answer:

irrational.

Step-by-step explanation:

Answer:

Irrational

Step-by-step explanation:

I'll assume by TT you mean pi:

Since pi is irrational, dividing by 2 will still make it irrational.

1. Please help if possible :)

Answers

Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

HELP!!!!

Given that x=6 and y=-4, evaluate each of the following expressions:

A. 5x/3y+x
B. 2x (square) - y (cube)

Answers

Answer:

A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2

B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136

A: (5(6))/(3(-4)+(6)) = -5
B: 2(6)^2-(-4)^3 = 136

Substitute the value given as x and y into your expression. For A. , order of operation matters. I assumed the “+x” is part of the denominator.

Pleaseee help me like I need hp

Answers

its 14 (20 chars limit thing)

Answer:

Please mark me as brainlist and the answer is above by pic

HELP ASAP ASAP ASAP ASAP PLS HELP HELP

Answers

Answer:

i hope my answer help you

Step-by-step explanation:

1st=8+4=12

2nd the answer is to the nearest 7.06

3rd =2+2³.7=2+13=15

4th=(36÷(4+5))+25=36÷9+25=4+25=29

5th=16÷16+8-3=1+8-3=9-3=6

6th=8-2.4=5.6

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

7. Find the number of vertices of a polyhedron
having 10 faces and 12 edges​

Answers

Answer:

4

Step-by-step explanation:

Using Euler's rule for polyhedra

F + V - E = 2 ( F - faces, V- vertices, E- edges )

10 + V - 12 = 2

V - 2 = 2 ( add 2 to both sides )

V = 4

The following graphs are transformations of f(x) = x^2.




Complete the boxes below to describe the transformations.


A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answers

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 unitsit is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 unitsit is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is not shifted to right by 12  units

Therefore D(x) = f(x - 12)

Zx and Zy are supplementary angles. Zy measures 108°,
What is the measure of Zx?
Stuck? Watch a video or use a hint.

Answers

Answer:

72°

Step-by-step explanation:

Given

Zy = 108°

Zx = ?

We know

Zx + Zy = 180° {being supplementary angles }

Zx + 108° = 180°

Zx = 180° - 108°

Zx = 72°

Hope it will help :)

-4(x-5)+8x=9x-3
Can somebody help me with this problem

Answers

Answer:

6.2x

Step-by-step explanation:

x = -17/5

hope its helpful ❤❤❤

THANK YOU.

Find the length of GH.
- 10 -9 -8 -7 -6 -5 4 -3 -2 -1
1
-2
-3
G(-9, 4)
-5
-6
H(-2. -6.7
-8
-9
+10
A. About 3 units
B. About 7.3 units
C. 53 units
D. 9 units

Answers

Answer: About 7.3 units

Step-by-step explanation: I got it right

The length of the segment GH is given by the distance D = 7.3 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be G ( -9 , -4 )

Let the second point be H ( -2 , -6 )

Let the length of the segment GH = D

Now , distance between G and H is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

On simplifying , we get

D = √ ( -9 - ( - 2 ) )² + ( -4 - ( -6 ) )²

D = √ ( -7 )² + ( 2 )²

On further simplification , we get

D = √ ( 49 + 4 )

D = √53

D = 7.28 ≈ 7.3 units

Hence , the distance is 7.3 units

To learn more about distance between 2 points click :

https://brainly.com/question/18234495

#SPJ7

Please help! Will mark brainliest

Answers

Answer:

4(5)^2-5= 95

Hope this helps! :)

10 (a) Simplify
t+t+t

Answers

3 bc im right and your wrong im bigger your smaller and idek what im saying

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.

Answers

Answer:

Step-by-step explanation:

The reason the percents are not the same is probably because you are finding percentage diffrences from diffrent numbers.

Answer:

A,C, and E

Step-by-step explanation:

I took the test

PLEASE ANSWER FAST
Consider the graph of y = -3|xl. What will be the effect
on the graph if –3 is replaced with 3?
a. no change
b. a flip over x axis
c. vertical shift
d. horizontal shift of one unit to right

Answers

Answer:

B

Step-by-step explanation:

Essentially, the -3 in this equation is the slope, and when you multiply slope by -1 you are reflecting over the x axis.

-16+ x= -15
Need this answer

Answers

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

Does anybody know were to line them?

Answers

Answer:

bro just use desmos

Step-by-step explanation:

it's a graphing calculator

please help EASY EASY STUFF

Answers

Answer:

1

Step-by-step explanation:

Hopefully this is right!

Answer:

0

Step-by-step explanation:

I think.......

9 hundred = how many 10's

Answers

Answer:

90

Step-by-step explanation:

900 is 90 tens

Check

900/10 = 90

or....

90 * 10 = 900

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Make h the subject
G=5h-2f÷3

Answers

Answer:

I think H=5g-2f÷3 ( I'm not sure at all sorry )

A baker made 20 muffins for a cafe. By noon, 15% of the muffins were sold. How many muffins were sold by noon?

Answers

Answer:

15% of 20 is 3, so 3 muffins were sold.

Step-by-step explanation:

To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)

Answer:3

Step-by-step explanation:

0.15x20=3

0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.

Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

am i right or wrong? i think im right but im not sure please help will give brainliest. if im wrong please explain the right answer to me

Answers

Answer:

Correct, good job!

Step-by-step explanation:

45% of $450:

$450 × 0.45 = $202.50

Add the 45% of $450 to $450

$202.50 + $450 = $652.50

I used a different method to double check your work

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