You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.​

Answers

Answer 1

Answer:

70

Step-by-step explanation:

Answer 2

Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).

When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:

⇒ Vertex D(-2, 2) becomes D'(-2, -2),

Vertex E(1, 5) becomes E'(-5, 1),

⇒ Vertex F(4, -1) becomes F'(1, 4),

This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.

Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).

Learn more about Rotation here

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Related Questions

Can you please help me fractions

Answers

Answer:

Step-by-step explanation:

1/320

Fraction form 1/5 Decimal form 0.2

Step-by-step explanation:

hope this helps

Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?

Having a hard time with the last one.

Answers

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

If there are 6 $5 bills how many 10$bills are there?

Answers

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

!HELP 20 POINTS!! Which table represents exponential growth?

Answers

Answer: The second table represents exponential growth.

Step-by-step explanation:

The second tables Y values go up with the X values so it is exponentia. The first table the Y values rise and then fall with the X values so it is not exponentia. Hope this helps!

solve pls brainliest

Answers

Answer: A= 304 feet B=1460

Step-by-step explanation:

To raise funds for uniforms and travel expenses, the soccer team is holding
a car wash in a part of town with a lot of car and truck traffic. The team
spent $90 on supplies like sponges and soap. They plan to charge $10 per
car and $20 per truck. Their goal is to raise $460.

Question: how many cars do they have to wash if they washed t trucks??

Answers

9514 1404 393

Answer:

  55 -2t cars

Step-by-step explanation:

The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...

  460 = 10c +20t -90 . . . profit equation

  550 = 10c +20t . . . . . . . add 90

  550 -20t = 10c . . . . . . . subtract 20t

  c = 55 -2t . . . . . . . . . . . divide by 10

They have to wash 55-2t cars if they washed t trucks.

See attachment. Please give step by step solution. Thank you

Answers

Answer:

x=19

Step-by-step explanation:

cross multiply

(−3)(+5)(3+5)=(−3)(+5)⋅2−3

(−3)⋅3=(+5)⋅2

3(−3)=(+5)⋅2

=19

solve pls brainliest

Answers

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?

A.$25
B.$30
C.$50
D.$70

Answers

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

e = 50

Hence based on Janice average, she spent $50 at the last store.

Find out more at: brainly.com

x(x+6)=-8 quadratic equation

Answers

Answer:

x=-2 or x=-6

Step-by-step explanation:

x^2+6x+8=0

(x+2) (x+6)=0

x=-2 or x=-6

Nick walked ¾ of a mile in 12 minutes. At the same pace, how far could he walk in 48 minutes?

Answers

Answer:

3 miles

Step-by-step explanation:

To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:

3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3

He could walk 3 miles in 48 minutes.

Hope this helps!


[tex]10 \times 25 \times 2255 + 52211[/tex]
SolVe it. No spam.​

Answers

Answer:

=615961

Step by step explanation:

(10)(25)(2255)+52211

=(250)(2255)+52211

=563750+52211

=615961

What is the slope of the linear function graphed
below?

Answers

Answer:

y=2x+2

Step-by-step explanation:

The slope of the function is going up by 2 every time.

SHOW THE GRAPH AS WELL PLEASE
Plot the x- and y-intercepts to graph the equation. y=−12x−3

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( − 6 , 0 )

y-intercept(s):  ( 0 , − 3 )

Use the slope-intercept form  y = m x + b to find the slope  m .

Slope: [tex]m = -\frac{1}{2}[/tex]

Graph in pic

(Credits: Symbolab)

Answer:

pls help

Step-by-step explanation:

round to the nearest ten 7096.88

Answers

It would be 7,100 I believe

house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain

Answers

Answer:

2085 feet

Step-by-step explanation:

If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.

He need to walk 2085 more miles to get to the library

Does anybody know this question

Answers

Answer:

13h

Step-by-step explanation:

A = LW

A = 13 cm * h cm

A = 13h cm^2

We know that two sides of the rectangle are 13cm. To find the area, we need to find h. It looks like h is 1/3 of the longer side, so 13 divided by 1/3 is 4.3. 13 times 4.3 is 55.9cm. I hope this helps!

5551-525152+62626626×552526
solve it.​

Answers

Answer:

=34602838637675

Step-by-step explanation:

=−519601+(62626626)(552526)

=−519601+34602839157276

=34602838637675

Can someone please hurry and finish this question please!!!! Will give brainliest

Answers

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Ms. Reynold's sprinkler system has 4 stations that water all parts of her front and back lawn. Each station
runs for an equal amount of time. If it takes 36 minutes for the first 3 stations to water, how long does it
take to water all parts of her lawn?
It will take 46
minutes for Ms. Reynold to water her lawn.

Answers

Answer:

It will take 48 minutes to water all parts of her lawn.

Step-by-step explanation:

Each section runs for an equal amount of time

3 sections have run for 36 minutes

36 divided by 3 is 12, meaning each section runs for 12 minutes

12 times 4 is 48

Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The messages sent by them are ~

Maya = 33 messages

Greg = 24 messages

Tom = 96 messages

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let the number of messages sent by Maya be x,

messages sent by Greg = x - 9

messages sent by Tom = 4(x - 9)

and, total number of messages sent by them all together is equal to ~ 153

that is ~

[tex]x + x - 9 + 4(x - 9) = 153[/tex]

[tex]2x - 9 + 4x - 36 = 153[/tex]

[tex]6x - 45 = 153[/tex]

[tex]6x = 153 + 45[/tex]

[tex]6x = 198[/tex]

[tex]x = 198 \div 6[/tex]

[tex]x = 3 3[/tex]

Hence, the messages sent by them are ~

Maya = x = 33

Greg = x - 9 = 33 - 9 = 24

Tom = 4(x - 9) = 4 × 24 = 96

Let Maya send m

Greg send m-9

Tom sent 4(m-9)

ATQ

m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33

Greg=33-9=24

Tom=4(24)=96

The lengths of the worms (in inches) are listed here.
Which line plot shows this data?

Answers

Answer:

The second one shows the data of the lengths of the worms.

Step-by-step explanation:

By counting the number of times a number was represented on the number line.

Like 1, four times.

1 1/2, three times.

1 3/8, three times.

Likewise to all other numbers.

Solve for x. −23(3x−4)+3x=56

A. x=−196 ​

B. x=−116 ​ ​

C. x=216 ​

D. x=296

Answers

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

x = 6/11

Answer:

x=6/11

Step-by-step explanation:

Which number is 10 times the value of the 4 in 283.47 ?

Answers

Answer:

No answer sorry.

Step-by-step explanation:

10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true. 10 × 4 ten thousands = 40 ten thousands = 4 hundred thousands.

Answer:

Value of 4= 0.4

10 x 0.4 = 4

Step-by-step explanation:

If a sum invested gains 10% each year how long will it be before it has doubled its
value?

Answers

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial amount.r is the growth rate, as a decimal.

In this problem:

Gains 10% each year, thus [tex]r = 0.1[/tex].

The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:

[tex]A(t) = A(0)(1.1)^t[/tex]

[tex]2A(0) = A(0)(1.1)^t[/tex]

[tex](1.1)^t = 2[/tex]

[tex]\log{(1.1)^t} = \log{2}[/tex]

[tex]t\log{1.1} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]

[tex]t = 7.3[/tex]

It will be 7.3 years before the value is doubled.

A similar problem is given at https://brainly.com/question/23008760

Your friend identifies the terms and like terms in the expression
3x - 5 - 2x + 9x
is your friend correct?
explain your reasoning :

Answers

Answer:

The like-terms equation would be:

10x - 5

Step-by-step explanation:

2x - 6 >8
What is the Second Step?

Answers

Answer:

8

Step-by-step explanation:

i used the calculator

1.Add 66 to both sides.

[tex]2x=8+6[/tex]

2. Simplify  8+6  to 14

[tex]2x=14[/tex]

3.  Divide both sides by 22.

[tex]x=14/2[/tex]

4. Simplify [tex]14/2[/tex] to [tex]7[/tex]

Then your answer should be [tex]x=7[/tex]

 

your test is worth 100 points and theres 44 questions how many points is each question worth

Answers

Answer: ~ 2.27 points per question

Step-by-step explanation:

Want points/question.

So, we do 100 points / 44 questions

~ 2.27 points per question

divide 100 and 44
100/44 = 2.27
so the answer is 2.27 :)

How do you determine the number of electrons? (need the answer asap)

Question 1 options:

It is equal to the atomic mass


It is equal to the protons + the atomic number


It is the atomic mass + the atomic number


It is equal to the protons in a neutral atom

Answers

Answer:

It is equal to the protons in a neutral atom

more over

#proton =#electrons=atomic number

Answer:

It is equal to the protons in a neutral atom

Help me with this please

Answers

Answer:

178 maybe tell its right or wronv

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