The vertices of a triangle are, A (2, 5) B (1, 2) C (3, 1),. Find the coordinates of the image after a
reflection in the x-axis, and then a rotation 90° counterclockwise about the origin.

Answers

Answer 1

Answer:

The images are;

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

Answer 2

Answer:

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)


Related Questions

A teacher gave a unit test to both of her statistics classes. The mean test grade for Class A was 77 points, with a standard deviation of 5 points, whereas the mean test grade for Class B was 80, with a standard deviation of 7 points. Kyle, in Class A, received an 82 on the test, and Caleb, in Class B, received an 87. Whose performance on the unit test was better relative to their class?

Answers

Answer:

i think they would be the same

Step-by-step explanation:

77+5=82 or 77-5=72

so he is within the range of 72-82

80+7=87 80-7=73

so he is also within the range of 73-87

Since both Kyle and Caleb scored 1 standard deviation above their respective class means, we can conclude that their performances were relatively equal.

What is standard deviation?

A standard deviation is a measure of how far apart the data is from the mean.

A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.

To determine whose performance was better relative to their class, we need to calculate their z-scores, which tell us how many standard deviations a particular score is from the mean.

For Kyle in Class A:

z-score = (82 - 77) / 5 = 1

This means that Kyle's score is 1 standard deviation above the mean for his class.

For Caleb in Class B:

z-score = (87 - 80) / 7 = 1

This means that Caleb's score is also 1 standard deviation above the mean for his class.

Thus, we can conclude that Kyle and Caleb's performances were comparable because they both scored one standard deviation above their respective class means.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

#SPJ3


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

2/5 or .4

Step-by-step explanation:

basically look at the points where the line meets the graph. two points would be 0,20 and 50,40. then count the amount that it changes vertically and then horizontally. +20vertical +50 horizonal giving the slope 20/50. this can then be simplified to 2/5 or the equivalent number .4

Answer:

If I remember correctly, the slope would be 2/5.

how do I solve "at 1:00., you have 24 megabytes of a movie. at 1:15., you have 96 megabytes. what is the download rate in megabytes per minute?"​

Answers

Answer:

4 megabytes per minute

Step-by-step explanation:

Answer:

You're downloading 4.8 megabytes/minute.

Step-by-step explanation:

[tex]\frac{96-24}{15-0}=\frac{72}{15} =4.8[/tex]

-1/2x = -4/5
Help please

Answers

Answer:

x = 8/5

Step-by-step explanation:

first multiply both side by -1, it makes both side positive

1x/2 = 4/5

now multiply both sides by 2 to get the x by itself

x = 8/5

if they want improper fraction x = 1[tex]\frac{3}{5}[/tex]

Answer:

x=-8/5

Step-by-step explanation:

f(x) = 3x + 10


f(11)

Answers

Step-by-step explanation:

send mia khalifa b¤obs pic pls

43

Step-by-step explanation:

f(x) = 3x + 10

f(11)

=3 (11) + 10

=33+10

=43

77÷ -11

20 points!!!!!

Answers

Answer:

7 time 11 is 77 so 77 divided by 11 is 7

Step-by-step explanation:

Answer:

It's -7

Step-by-step explanation:

1.Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the first cyclist bike in 45 minutes?

Answers

Answer:

9 miles

Step-by-step explanation:

If 1 hour is 12 miles, then 30 mins is 6 miles, then 15 minutes is 3 miles.

30+15=45

6+3=9

The first cyclist bikes 9 miles in 45 minutes.

Since two cyclists are 7 miles apart when they begin biking away from each other in opposite directions, and the speed of the first cyclist is 12 miles per hour, to determine how many miles does the first cyclist bike in 45 minutes the following calculation must be done:

60 = 12 45 = X 45 x 12/60 = X 540/60 = X 9 = X

Therefore, the first cyclist bikes 9 miles in 45 minutes.

Learn more in https://brainly.com/question/15943145

what is 14+8.12 – 42

Answers

Answer:

-19.88

Step-by-step explanation:

hope this helps :)

❅ Answer:

-19.88

❅ Step-by-step explanation:

Add 14 + 8.12 which gives you 22.12. Now subtract 22.12 by 42 = -19.88

Hope this helps! By: BrainlyAnime~

♡ Thank you and have a wonderful day ♡

simplify -50 1/2+(-12.3)

Answers

Answer:

-62.8

Step-by-step explanation:

-50 1/2 + (-12.3)

= -101 / 2 - 12.3

= -101  -  24.6

         2

= -125.6 / 2

= -62.8

Answer: you can use a website called math. way! Make sure its online like the website

Step-by-step explanation:

its a mathpage and it does algebra!

Air Pods are on sale for 25% off. If AirPods originally cost $120, what is the sale price?

Answers

Answer:

120 /4 =30 120 - 30 = 90 The answer is 90$

Step-by-step explanation:

The width of a rectangle is 3/4 it’s length. The perimeter of the rectangle is 350 ft. What is the length, in feet of the rectangle

Answers

Answer:

20

Step-by-step explanation:

(10 POINTS) Rectangle ABCD is dilated with center at (0, 0) and scale factor 2. Select the three statements that are true about the dilation.

Answers

Answer:

The answer is B1 is locates at (6,4)

Rectangle ABCD and rectangle A1B1C1D1 are congruent

The equation for the line containing B1 and C1 is y=2/3xx

Step-by-step explanation:

Someone answered the thing in another question.. don't worry trust me

:( I am very dumb please help

Answers

Answer:

(1,1)(2,4)(3,9)(4,16)

Step-by-step explanation:

It's not proportional therefore it's not LINEAR.

Answer:

Nonlinear

Step-by-step explanation:

What is the name of each labeled part?
B
С
B
C
E
A
E
D

Answers

Answer:

I know that B is the nucleas but I don't know the rest sorry

Answer:

A: dendrite

B: cell body

C: axon terminal

D: axon

E: nucleus

Step-by-step explanation:

2x + 3(1/5x+3/4) simplify expression

Answers

Answer: 13x/5 + 9/4

Step-by-step explanation:

is this a function? x= y-7

Answers

Answer:

yup it passes the line test

Step-by-step explanation:


unitary method examples.​

Answers

Answer:

For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol. In other words, the method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method.

Step-by-step explanation:

Hope this helps!

a rectangle prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches.

Answers

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

Solve the inequality. T/4 > 7

Answers

Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

John is performing an experiment in which a solution alternates between a clear color and a bluish-purple color at a regular time interval. He observes that the time interval between color changes is 30 seconds (s). Sally replicates the experiment with the same solution, but at a temperature that is 10 degrees Celsius (°C) higher. What is the most likely time interval between color changes at this higher temperature?

Answers

Answer:

15 seconds

Step-by-step explanation:

The given parameters for the experiment are;

The time it takes the solution to change from a clear color to a bluish-purple color at a given temperature = 30 seconds

The temperature at which Sally replicates the experiment with the same solution = 10°C higher than the temperature the experiment was carried out by John

Given that the process involves a change in color, which is a characteristic of a chemical reaction, and that the rate of a chemical reaction increases as the temperature of the reacting system is increased, we have time it takes for the solution to change color at a temperature increased by 10°C, will be a time lesser than 30 seconds

Answer:

B

Step-by-step explanation:

The length of a rectangle is 3 units more than the width. The area of the rectangle is 54 units. What is the width, in units, of the rectangle?
please hurry

Answers

Answer:

The width is 6 and the length is 9.

Step-by-step explanation:

Factors of 54: (1, 54), (2, 2), (3, 18), and (6, 9)

6 and 9 would work because 6+3=9

PLZ ANSWER BOTH QUESTION

Answers

Answer:

The value of 2 pennies and 3 dimes is 17¢. The value of p pennies and d dimes is (p×1)+(d×5)

Step-by-step explanation:

Use the formula (p×1)+(d×5).

Insert the number of pennies and dimes into the formula: (2×1)+(3×5).

Solve the equation: (2×1)+(3×5)

= 2+(3×5)

= 2+15

= 17

So, there are 17¢ in 2 pennies and 3 dimes.

The answer for question 2 is the formula written above.

Question 3) What is a markup? *
O A a percent of increase
B the sale price of an item
O C a discount on an original price
D the amount of money borrowed or invested

Answers

Answer:

it would be increase (B)

Step-by-step explanation:

well markup means they mark out a price and raise for its value :) hope this helps

Answer:

A

Step-by-step explanation:

Percent of increase

1.f(x)=0,5x+3 represents a function, Evaluate the function if f(12), *
A. 9
B. 3.04
C. 18
D. 15.5

Answers

It’s 9. F(12)= 6 (0.5 x 12) + 3

Graph.
y= 53x–4

Apparently this is way to short and I have to put in 20 more characters to get a "great" answer *eye roll* sooooooooooo blah blah blah balh there more than 20

Answers

Answer:

sorry

Step-by-step explanation:

why the hell do our teachers do this to us ;(

What is the image point of (2,4)(2,4) after a translation left 4 units and down 1 unit?

Answers

Answer:

(-2; 3)

.............

Is my math correct? It's about slop and proportions.

Answers

Answer:

yes! it's correct. Congrats :)

Step-by-step explanation:

Answer:

Your answer is correct.

Step-by-step explanation:

(−1,4);(3,0)

(x1,y1)=(−1,4)

(x2,y2)=(3,0)

m= y2−y1 /x2−x1  

0−4 /3−(−1 )

−4 /4 = −1

4 multiple ( 2+3) square 2

Answers

Answer:

100

Step-by-step explanation:

4 x (2 + 3)[tex]^{2}[/tex]

  for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is [tex]5^{2}[/tex] which is 25 and 24 x 4 gives you 100

hope this helps, if im wrong sorry

The answer is; 100
4*(5)^2
4*25
100

1 point
Question: A school purchased a total of 112 student tickets and adult
tickets for a field trip to a play. The price of each student ticket was $3.50,
and the price for each adult ticket was $6.50. If the school spent a total of
$437, how many student tickets and adult tickets did the school purchase?
92 student tickets; 20 adult tickets
97 student tickets; 15 adult tickets
O
102 student tickets; 10 adult tickets
88 student tickets; 23 adult tickets

Answers

Answer:

the answer is 97 student tickets and 15 adult tickets

Step-by-step explanation:

I’m super mad today :()

Answers

Answer:

why?

Step-by-step explanation:

That sucks I guess.
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