A triangle with vertices J(3, 0), K(4, 3), and L(6, 0) is rotated clockwise 90° about the origin. What are the new coordinates for J' K' and L' ?

Answers

Answer 1

Answer:

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Step-by-step explanation:

The given coordinates of the triangle JKL are;

J(3, 0), K(4, 3), L(6, 0)

The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)

Therefore;

The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)

The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)

The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)


Related Questions

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian's first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Answers

Answer:

21.9 feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Given parameters

Altimeter of vivian at its lowest point = -9.6 feet

Altimeter of vivian at the top of the wheel = 12.3feet

Note that the sea level is at 0 feet.

change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:

= (12.3-0)+(0-(-9.6))

= 12.3+(0+9.6)

= 12.3+9.6

= 21.9 feet

From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.

The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.

Answer:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Step-by-step explanation:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

I really need help with this can I please get some help

Answers

Answer:

no thxxxx

Step-by-step explanation:

your grocery bill before taxes was $265.24 you have to pay 7.3% sales tax how much is your total grocery bill​

Answers

Answer:

301.57

Step-by-step explanation:

I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.

Answer:

Step-by-step explanation:

HELP ASAPPPPP PLEASE

Answers

Answer:

13. -200, balance on car loans

14. 8, monthly payments

15. linear eqn, y=ax+b

16.values of y will decrease.(although i think the graph will remain linear)

17. as the monthly payment decrease so does the balance on car loan decrease.

A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.

Answers

Answer:

yes

Step-by-step explanation:

The school cafeteria sells three different types of sandwiches: chicken, turkey,

and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for

$3.50, and roast beef sandwiches sell for $4. The cafeteria makes 400

sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in

$1375. If the cafeteria makes the same number of chicken sandwiches as it

does turkey sandwiches, how many of each type of sandwich does the school

make? (Hint: Write one equation for the number of sandwiches, one equation

for to amount of money all the sandwiches cost, and an equation that show the

number of chicken and turkey sandwiches are equal.)

No

Answers

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150

Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.

Answers

slope intercepetion by aerodynamic

The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,

y = mx + c

7 = 0(4) + c

c = 7

Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?

Answers

Answer:

distribute on each side is correct :)

please help me if you can :) i gave as many points as i could.

Answers

Answer:

6.  2

7. (-3/2)

Step-by-step explanation:

6. 4x - 2y = 8

  -4x          -4x

-2y = -4x + 8

y = 2x + 4

y = 2/3x + 1

reciprocal of 2/3 is -3/2

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(6)

Given

4x - 2y = 8 ( subtract 4x from both sides )

- 2y = - 4x + 8 ( divide all 3 terms by - 2 )

y = 2x - 4 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

Slope of parallel line is m = 2

----------------------------------------------------------

(7)

Given

y = [tex]\frac{2}{3}[/tex] x + 1 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.

Answers

Answer:

The rock takes 4.18 seconds to hit the ground

Step-by-step explanation:

Function Model

The height of a rock h, after t seconds, can be modeled by the polynomial function:

[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]

When the rock hits the ground, the height is 0, thus we need to find the value of t such as:

[tex]-4.9t^2+20t+2=0[/tex]

A quadratic equation can be expressed as:

[tex]at^2+bt+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The values for the given equation are:

a=-4.9, b=20, c=2

Applying the formula:

[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]

[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]

[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]

There are two possible solutions:

[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]

[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]

Since t > 0, the only solution is t=4.19 seconds

The rock takes 4.18 seconds to hit the ground

How do I solve permutations and combinations?​

Answers

Answer:

by formulas . you can solve permutations and combinations by formulas .

Solve each system by elimination: -7x-6y=4 -3x+2y=20

Answers

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)

simplify 1+3(4n+6) please help I hate this

Answers

Answer: 19 + 12n

Step-by-step explanation: 1 + 3(4n + 6)

1 + 12n + 18

19 + 12 n

Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,to rent the boat for h hours.

Answers

c= 15 + 2h
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee

i need this this fast!! please

Answers

Answer:

last one

Step-by-step explanation:

Which of the following statements is not true about the relationship

Answers

Answer:

C

Step-by-step explanation:

There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?


Question 1 options:


A. 200,000,000 times greater



B. 2,000,000 times greater



C. 50,000,000 times greater



D. 5,000 times greater

Answers

Answer:

C

Step-by-step explanation:

big number

Answer:

D

Step by step explanation:

08*10^2=800

4,000,000/800=5,000

What can diversification help you deal with?​

Answers

Answer:

Reduces risk by spreading money among a wide array of investments. When a company combines the funds of many different investors and then invests that money in a diversified portfolio of stocks and bonds. Included is bonds, stocks, real estate, speculative investments.

Step-by-step explanation:

barbara made cookes for her sons football team.she made 3 cookes for each player there are 23 players how many cookes she make altogether

Answers

69 I’m pretty sure if not let me know

The double number line shows that 4 bottled of water cost 20 dollars at a music

Answers

it should be the answer eighty

10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300

Answers

Answer:

15,300

Step-by-step explanation:

multiply the estimated total number of births (255)

times 60 because there is 60 minutes in an hour

255*60= 15,300

Answer:

15,300

Step-by-step explanation:

1 hour: 60 minutes

60 x 255 = 15,300

Passes through (-2, 6) with a slope of -1/4.

Answers

1/4x+6.5 decimal form 0.25x+6.5
or
1/4(x+26) decimal form 0.25(x+26)

Can someone please help me solve this -6(r+3g-t)

Answers

Answer:

-6r-18g+6t

Step-by-step explanation:

Answer:

18g−6r+6t

PLEASE GIVE BRAINLIEST I EVEN EXPLAINED IT

Step-by-step explanation:

−6(r+3g−t)

=(−6)(r+3g+−t)

=(−6)(r)+(−6)(3g)+(−6)(−t)

=−6r−18g+6t

=−18g−6r+6t

A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?

Answers

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

(14, -8 ) and (7, -6)

Answers

Answer:

-0.28

Step-by-step explanation:

(-6)-(-8)=2.

7-14=-7

2/-7=-0.28

-2/7 because Y2 is -6 + 8 because a negative and a negative turns into a positive which equals 2 and X2 - X1 which is 7-14 which gives us -7 so -2/7

BRAINLIEST! Please help me out!


i'm so confused with this math problem. :(

[tex]5x=2/5[/tex]

is the answer maybe 2/5? i'm really confused. thanks! :)))

Answers

Answer:

The question is what does x mean. And x = 2/25 and in decimal form x equals 0.08.

Step-by-step explanation:

Hope this helps:) May I have brainliest?

My teacher put no’s and yes’s

Answers

Answer:

I'm sorry can't help but edit it to a question

Step-by-step explanation:

:) ello

If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test

Answers

Answer:1/9

Step-by-step explanation:

Which relation is a function?

Answers

Answer: B

Step-by-step explanation:

Answer: is B Explanation: because a function is a relation in which no two ordered pairs have the same first element! :)

Pleaseeeee helppppp I really need help

Answers

Answer: you would times the base times height

Step-by-step explanation: learned it in middle school

Other Questions
Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory32.02 feet, how much does he have left? Martin charges $15 for every 5 bags of leaves he rakes last weekend he raked 20 bags of leaves how much money did he earn The diameters of trees at a nursery are Normallydistributed with a mean of 2.5 inches and a standarddeviation of 0.5 inches.X-Calculate the Z-score for a tree that has a diameter of1.83 inches. Round the Z-score to the nearesthundredth, if necessary.The Z-score for a tree that has a diameter of 1.83 inchesis about...? 1. PART A: Which of the following identifies the author's main claim in thetext? *5 pointA. America's social and political system is designed so no one can succeed, andtherefore should not be a model for other nations.B. The perfect society is not attained by eliminating inequalities, as inequality inspiresthe competition that results in progress.C. While America's democratic system is flawed, all citizens will be able to achievesuccess once inequalities are eliminated.D. Americans are not always happy in their democratic society because thewidespread equality that it secures them prompts them to want more. What is a plan for how much to spend and how much to save of ones earnings called?A. a wish list B. a personal budget C. a saving account D. an investment portfolio Help me pleaaaaaaassssssssseeeeeeee Johnny scored a 75% on his math test. He got 18 questionscorrect. How many questions were on the test? * I dont know the answer to this why did the second continental congress, when drafting the articles of confederation, create a weak central government?A. to encourage more trade between statesB. to preserve the powers of the individual statesC. to promote national security against foreign invasionD. to permit the taxation of citizens to pay the nations debts. Help asap!The broadest group an organism can be classified into is its:A. kingdomB. domainC. order If you could be anywhere on earth right now where would you be?? Please help me out with problem 2. What kind of conflict do the details in this excerpt reveal?character vs. selfcharacter vs. societycharacter vs. naturecharacter vs. character The diffusion of a substance into or out of a cell requires Ikaw ang paboritong apo ng iyong lolo na matanda na. Alam mong siya ay nagtataglay ng isang agimat kung kayat mahaba ang kanyang buhay. Sinabi niya na gusto niyang ikaw ang magmana ng agimat upang patuloy ang bisa nito. Subalit, labag ito sa iyong kagustuhan. Ano ang gagawin mo? Paano mo ito ipaliliwanag sa iyong lolo? Weight of a body becomes greater at the pole than that at the equator . why ? Without gravity, our universe would not exist. All things have gravitational pulls, but the larger the object, the larger the pull. This explains why planets and other celestial bodies are greatly affected by gravity. Think about ways our planet and the solar system are affected by gravity.Pick all that applyMoons' orbits around planetsAnnual amounts of snow on EarthThe moon has less gravitational force than Earth because it is smaller and has less mass.The orbit of each planet in the solar system is controlled by its moon(s).Mass is the force that holds people and objects to the Earth's surface.The Sun's gravitational pull is what keeps the planets in its solar system in orbit.The Sun has more gravitational pull than any planet in the solar system because it has the most mass.The smaller the distance between two objects, the larger the force of gravity between them 5. Which Native American group allied with each country listed in the Frenchand Indian war?FranceBritain Please help or i get a detention! is 2, 344 a natural number ,integer, irrational number, or a real numberPLEASE HELP ME