List the coordinates of the vertices of trapezoid ABCD after it has been rotated 90° counterclockwise about the origin and then reflected over the x-axis. A(−5,−3)B(−4,0)C(−2,0)D(0,−3)

Answers

Answer 1

Answer:

The required coordinates are;

A''(-3, -5), B''(0, -4), C''(0, -2), and D''(-3, 0)

Step-by-step explanation:

The given coordinates of the trapezoid ABCD are;

A(-5, -3) B(-4, 0), C(-2, 0) and D(0, -3)

Therefore, we have;

For a rotation 90° counterclockwise, we have for a given coordinates of the preimage (x, y) after a rotation 90° counterclockwise, the image will be located at (y, -x)

Therefore, for the points of the trapezoid, we have;

Preimage A(-5, -3) rotated 90° counterclockwise gives image A'(-3, 5)

Preimage B(-4, 0) rotated 90° counterclockwise gives image B'(0, 4)

Preimage C(-2, 0) rotated 90° counterclockwise gives image C'(0, 2)

Preimage D(0, -3) rotated 90° counterclockwise gives image D'(-3, 0)

For a reflection across the x-axis gives the transformation, preimage location (x. y), image location after reflection (x, -y)

Therefore, we have;

For the point A'(-3, 5), reflection across the x-axis gives A''(-3, -5)

For B'(0, 4), reflection across the x-axis gives B''(0, -4)

For C'(0, 2), reflection across the x-axis gives C''(0, -2)

For D(-3, 0), reflection across the x-axis gives D''(-3, 0)

Therefore, the required coordinates are;

A''(-3, -5), B''(0, -4), C''(0, -2), and D''(-3, 0).


Related Questions

I need help quickly pleaseeeeee!

Answers

(2,3)

A solution is the coordinate point to an intersection and the lines intersect at (2,3)

Need help =( have no idea how to start.

Answers

Answer:

it says download docx so download it first and start typing

Step-by-step explanation:

please helpppp i’m struggling rn

Answers

1. y= - 2/3x + 4
2. y= 1/2x -3
3. y= 4x - 2
4. y = - 1.5 x +4
5. y= 3x +1
6. y= -2.5x+15

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

[tex]3x= 5(x-1.5)\\\\\Rightarrow\ 3x=5x-1.5\times5\\\\\Rightarrow\ 3x=5x-7.5\\\\\Rightarrow\ 5x-2x=7.5\\\\\Rightarrow\ 3x=7.5\\\\\Rightarrow\ x=\dfrac{7.5}{3}\\\\\Rightarrow\ x=2.5[/tex]

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

FIRST TO GET CORRECT GETS BARINLESIT!!! :) i need this asap

Answers

The fourth one is the answer!

I hope it helps

Can this even be solved?

u= 10x , for x

Answers

Answer:

Yes it can

Step-by-step explanation:

u=10x

Divide both sides by 10

u/10=x

Step-by-step explanation:

X = u/ 10

That's the answer

Do y'all know the answer??

Answers

The answer is C. 130.4

Answer:

C

Step-by-step explanation:

pls mark brainliest :)

Which one A. B. C. or D.

Answers

Answer:

c

Step-by-step explanation:

because if it leaks 2 ml pe second that means we have to find out how much it leaks in 60 seconds so 2 x 60 = 120 but all the answers have the unit L beside them, not ml so 1000 ml is 1 L so that means that 120ml in L would not be a whole number so it has to be a decimal so c ( but you should still double-check just in case)

hope this helps : )

The Foxy Lady Shop is having a summer closeout sale. A pair of jeans cost $20 and a t-shirt
costs $9. If you spend $172 and buy a total of 13 items, how many pairs of jeans and t-shirts
can you purchase? ?

I need this to be solved using a matrix

Answers

Answer: The awnser is 5 jeans and 8 shirts

HELP PLEASE THE TEXT IS TIMED!! will give BRAINLIEST

A rectangle has a perimeter of 14 cm.
Choose all the possible dimensions of the rectangle.
A. 1 cm by 6 cm
B.2 cm pay 5 cm
C. 3 cm by 4 cm
D. 4 cm by 3 cm
E. 5 cm by 2 cm
F. 6 cm by 1 cm
G. 7 cm by 7 cm
H. 8 cm by 6 cm

Answers

Answer:

Everything except G and H

Step-by-step explanation:

The perimeter of a shape is the sum of its side lengths.

The possible dimensions of the rectangle whose perimeter is 14 cm are:

A. 1 cm by 6 cm

B.2 cm by 5 cm

C. 3 cm by 4 cm

D. 4 cm by 3 cm

E. 5 cm by 2 cm

F. 6 cm by 1 cm

The perimeter is given as:

[tex]\mathbf{ Perimeter = 14cm}[/tex]

The perimeter of a rectangle is:

[tex]\mathbf{Perimeter = 2 \times (Length + Width)}[/tex]

So, we have:

[tex]\mathbf{A.\ Perimeter = 2 \times (1cm+ 6cm) = 14cm}[/tex]

[tex]\mathbf{B.\ Perimeter = 2 \times (2cm+ 5cm) = 14cm}[/tex]

[tex]\mathbf{C.\ Perimeter = 2 \times (3cm+4cm) = 14cm}[/tex]

[tex]\mathbf{D.\ Perimeter = 2 \times (4cm+3cm) = 14cm}[/tex]

[tex]\mathbf{E.\ Perimeter = 2 \times (5cm+2cm) = 14cm}[/tex]

[tex]\mathbf{F.\ Perimeter = 2 \times (6cm+1cm) = 14cm}[/tex]

[tex]\mathbf{G.\ Perimeter = 2 \times (7cm+7cm) = 28cm}[/tex]

[tex]\mathbf{H.\ Perimeter = 2 \times (8cm+6cm) = 28cm}[/tex]

By comparing the options with the given perimeter, the correct dimensions are:

A. 1 cm by 6 cm

B.2 cm by 5 cm

C. 3 cm by 4 cm

D. 4 cm by 3 cm

E. 5 cm by 2 cm

F. 6 cm by 1 cm

Read more about perimeters at:

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. What is the original price in a percent​

Answers

Answer:

$80

Step-by-step explanation:

Chris purchased a video game for the sale price of $35, not including tax. It had been discounted 30%. What was the original price of the game?

Answers

Answer:

$50

Step-by-step explanation:

To find the original price, divide the new price by the 0.7, since the discount was 30%:

35/0.7

= 50

So, the original price of the game was $50

Answer:

$50

Step-by-step explanation:

.3 multiplied by 50= 15, then add 15 to 35 to get 50

Kristina sold 8 pumpkins for $3.50 each, 6 for $8.00 each, and 15 for $1.00 each. She receives $0.25 for each pumpkin sold plus a $10.00 bonus if her sales total $95.00 or more. How much did she receive?

Answers

Answer:

$7.25

Step-by-step explanation:

"Kristina sold 8 pumpkins for $3.50 each, 6 for $8.00 each, and 15 for $1.00 each. She receives $0.25 for each pumpkin sold plus a $10.00 bonus if her sales total $95.00 or more. How much did she receive?"

Given data

The total number of pumpkin is 8+6+15= 29 pumpkin

total cost of pumpkin=

8*3.5=$28

6*8=$48

15*1=$15

total is $28+$48+$15= $91

the total amount sold is not up to $95, so she will not receive the $10 bonus

But she will receive

0.25*29=$7.25

absolute value of -7 -5

Answers

Answer: for -7 is 7 for -5 is 5

Step-by-step explanation: the absolute value of a number is its distance from zero on the number line. For example, -7 is 7 units away from zero, so its absolute value would be 7.

Sometimes referred to as a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both 12 and -12 is 12.

The absolute value of -5: |−5| is the absolute value of a negative number. To find the answer to this, you simply remove the negative sign, so the answer is 5

Divide
(2x + 4x2 - 5) by (x + 3).

Answers

you divide using the polynomial division. your answer would be 2 - 3/x+3

62 hundredths in standard form
18 tenths in standard form
9 tenths+6 tenths in standard form
423 in standard form
please help ill give you a brainilest

Answers

1. 62/100
2. 18/10
3. 9/10+6/10 (equals 15/10 or 3 if you need it solved)
4. 423 hundredths or thousandths? if hundredths=423/100 if thousandths=423/1000

hope this helps!! pls mark brainliest:)

Answer:

Step-by-step explanation:

1. 62/100

2. 18/10

3. 9/10+6/10 (equals 15/10 or 3 if you need it solved)

423/100 in hundredths

The autumns trail is 15 5/6 miles long. Lillian hikes the trail in 4 hours. She hikes the same number of miles per hour. How many miles did Lillian hike each hour? Show your work on the sketch pad.

Answers

Answer: about 4 miles

Step-by-step explanation: you have to divide 15 5/6 and 4 and you would get 3.95 but if you round it up you would get 4

someone pls help...shud be rly easy for yall...question in the pic
will give brainliest! :)

Answers

Answer:

115 Degrees

Step-by-step explanation:

Isosceles Triangles have two congruent base angles so if one is 50 degrees, 180-50=130 degrees the base angles must be 130/2=65 degrees each. ACB is 65 degrees and makes a line with BCE, so their sum must be 180 degrees. 180-65= 115 Degrees= BCE

Algebra 2

What is the equation of a line with slope -2/7 and intercept (0, -1)?

A) y = -2/7x

B) x = -2/7y - 1

C) y = -1

D) y = -2/7x - 1


Please show work so I can understand.

Answers

It’s always gonna be y=. That is a given in all equations. The slope would be before the x and after the =. And if the first number in parentheses is a 0 then the y-intercept will be the second number. If it’s positive it’s plus and if it’s negative it’s minus

Answer:

D

Step-by-step explanation:

Recall the slope-intercept form of a line:

y = mx + b

slope -2/7 means m = -2/7

y = -2/7x + b

Intercept at (0, -1)

x = 0 and y = -1.

Hence, let's plug it back into the equation we made earlier (y = -2/7x + b)

(-1) = -2/7(0) + b

-1 = b

b must be -1

y = -2/7x -1

WHO LIKES IAN SOMERHALDER aka Damon Salvatore

Answers

Answer:

my friend is obsessed with him but i don't know who he is.

Step-by-step explanation:

Answer:

UH - ME

Step-by-step explanation:

Write the expression:

"five times the quotient of six divided by a number"

Answers

Answer:

6/x*5

Step-by-step explanation:

i hope this helped :3


What is the slope of the line?

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined.

When the line is vertical, it is undefined. If the line was horizontal, the slope would have been zero.

In this case, the line is vertical, making it undefined

two plus two equal what ​

Answers

Answer:

The answer is four

Step-by-step explanation:

2+2=4

Answer:

2+2=4,2×2=4,2-2=0,2÷2=1

im confused????????????

Answers

Answer:

same

Step-by-step explanation:

30.7% of 1000 how much is it plz help

Answers

Answer:

307

Step-by-step explanation:

1000 times .307=

Help anyone pls:(((((((!!!

Answers

What you need to do is convert all mixed numbers to improper fractions, then multiply the top and multiply the bottom and simplify. For division, simply flip one fraction

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Their mind turns straight to ducks.

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They like to kick back with Alice,
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Their mind turns straight to ducks.

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Do they love ducks more than chickens?
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They're not too fond of giant bugs,
They really hate rude people,
But they just think back to ducks,
And they're happy once again.

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Answers

Answer:

uhhhhh, ight ig??? I mean I prefer "who shot cupid?" by juice wrld but.....

I NEED HELP PLEASE

A researcher studies the rate of progress of a chemical reaction. The researcher fixes the temperature and pressure, varies the amount of catalyst used over a range of quantities, and observes the resulting reaction rate in each case.

Which statement BEST describes why the investigation is an experimental study?

There is more than one independent variable to study.

The researcher manipulates at least one independent variable.

It is possible to get data with a range of values of an independent variable.

There is a cause-effect relation between the independent and dependent variables.

Answers

Answer:

I think the answer is The researcher manipulates at least one independent variable. Hope this helps.

Step-by-step explanation:

The BEST statement describes is that "The researcher manipulates at least one independent variable."

What are independent and dependent variables?

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

The variables who take their values based on some other variables' values are called dependent variables.

Given that researcher studies the rate of progress of a chemical reaction.

The researcher fixes the temperature and pressure, varies the amount of catalyst used over a range of quantities, since we know that If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

Therefore, the BEST statement describes why the investigation is an experimental study;

"The researcher manipulates at least one independent variable."

Learn more about independent variable;

https://brainly.com/question/1479694

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Need help on 2 questions

Question 1: Compared to last month, there was a 50% increase in the number of houses sold this month.

Question 2: the runners time to complete the marathon was 10% less than the time to complete the last marathon.

Use the picture as an example.

Answers

Answer:

oijfijfiosdoiviv

Step-by-step explanation:

∠GHK is a straight angle.
Find m∠LHK .

Answers

Answer:

∠ LHK = 101°

Step-by-step explanation:

The 2 angles on a straight line are supplementary, thus

∠ LHK = 180° - 79° = 101°

The given parameters are illustrations of angles on a straight line. The measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]

Given that:

[tex]\angle GHL = 79^o[/tex]

Using the angle on a straight line theorem, we have:

[tex]\angle GHL + \angle LHK =180^o[/tex] ---- angle on a straight line is 180

Substitute [tex]\angle GHL = 79^o[/tex]

[tex]79^o + \angle LHK = 180^o[/tex]

Collect like terms

[tex]\angle LHK = 180^o - 79^o[/tex]

[tex]\angle LHK = 101^o[/tex]

Hence, the measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]

Read more about angle on a straight line at:

https://brainly.com/question/17104958

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