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

What is the perimeter of this shaded figure that please somebody respond i need help ?????!!!!!!!!

Answers

38

Step-by-step explanation:

2+2+2+2+7+7+10+6= 38

count up all of the sides of the shape then you get your answer :)

4x+5+4x+5+4x+5+4x+5+4x+5 solve for x

Answers

Answer:

3

Step-by-step explanation:

Which shows the best use of the associative and commutative properties to make simplifying -1/3-10+7+2/3+5 easier

Answers

Answer:

9

Step-by-step explanation:

Is this congruent by SSS, SAS, AAS, ASA?

Answers

Answer:

Yes, congruent by SAS

Step-by-step explanation:

We already know two sides and two angles are congruent, and since the triangles share the same congruent side with an angle in between both pairs of congruent sides, then yes it is congruent by SAS.

Please help! I need help!

Answers

Answer:

What grade work is it? I don't really know what it says. Sorry, please can you type it out?

Step-by-step explanation:

Answer:

X is well i do not know but for the other person it says 3 times x = 8/2

Step-by-step explanation:

Find the value of x for which r || s.
Then find m<1 and m<2.
m<1 = 79- x
m<2 = 94- 2x

< means angle

Answers

Answer:

x=15

Step-by-step explanation:

79-15=64

94-30=64

The value of x for which r || s will be 15.

What are Parallel lines?

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

Lines r and s are parallel to each other.

m ∠1 = 79 - x

m ∠2 = 94 - 2x

Since, Two lines r and s are parallel to each other.

Then, By definition of alternate angles of parallel lines;

m ∠1 = m ∠2

Now, Substitute the given values we get;

m ∠1 = m ∠2

79 - x = 94 - 2x

Subtract 79 both side,

79 - x - 79 = 94 - 2x - 79

- x = 15 - 2x

Add 2x both side,

- x + 2x = 15 - 2x + 2x

x = 15

Thus, The value of x is 15 for which r || s.

Learn more about the parallel lines visit:

https://brainly.com/question/24607467

#SPJ2

plzzzzzz help Solve the system by Substitution.

x−4y=−7

−x+2y=3

A(1, 3)

B(1, 2)

C(-1, -3)

D(1, -3)

Answers

Answer:

B

Both systems can be sloved by susbituding (1,2)

Step-by-step explanation:

(1)- x−4y=−7

Substitute in the x and y values: 1 - 4 (2) = -7

Multiply the numbers : 1 - 8 = -7

Calculate the difference: -7 = -7

(2) - −x+2y=3

Substitute in the x and y values: -1 + 2 (2) = 3

Multiply the numbers : -1 + 4 = 3

Calculate the sum: 3 = 3

PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️​

Answers

What proof do you need?

using y=-6x what is the value of x if y=42

Answers

Answer:

Step-by-step explanation:

Y = - 6x

Putting value of 42

42 = - 6x

42/-6 = x

-7 = x

Answer:

x=-7

Step-by-step explanation:

y=-6x

y=42

use substitution

42=-6x

divide both sides by -6

x=-7

Solve the system by graphing: y=6x-4
y=-x+3

Answers

Answer:

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(1,2)

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

30 Points!!! Which translation rule describes the translation that is 2 units to the right and 8 units down? (1 poina
(x,y) → (x + 2, y - 8)
(x, y) (x - 2, y - 8)
(x,y) → (x-2, y+8)
(x, y) (x + 2, Y + 8)

Answers

Answer:

Answer is A

Step-by-step explanation:

(x,y) → (x + 2, y - 8)

when moving to the right 2 the x coordinate increases by two when moving down 8 the y coordinate decreases by eight

3x x (7 x x) i don’t get this at all

Answers

3x +7x+x+x should be your answer
3+3 is 6 and Thai all you do

FIRST CORRECT ANSWER WILL GET BRAINLIEST!!!!!!!!!!!

Find the slope represented on the graph



A)-2/3


B)2/3


C)-3


D)3

Answers

Answer:

B

Step-by-step explanation:

You can do rise over run or use the slope formula which is y2-y1/x2-x1

My Fav Football team what’s yours? Follow and Like

Answers

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Bescha predicted that she would sell 500 handmade vases at a flower show. When the show was over, she had 50 vases left. What was the percent error in the estimate? Round the answer to the nearest tenth.
10.0%
11.1%
50.0%
90.1%

Answers

Answer: 10.0%

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Function or not function please help I will give brainless

Answers

Answer:

It is a not a Function.

Because one number has two arrows pointing to two different numbers.

Answer:

No

Step-by-step explanation:

(the image is fuzzy so you can't really see the lines)

It seems that when x = 1, f(x) is both 4 and 5.

While two different x values can equal the same y value, one single x value cannot be equal to more than one value.

If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.

I need help!!!! I don’t understand these well and I have to do 5 of these.

Answers

I believe it would be b

What is a coefficient

Answers

Answer:

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. (It's the number that's with the variable)

Step-by-step explanation:

4x-7=5

Coefficient: 4

A dog starts walking, slows down,
and then sits down to rest. Sketch a graph of the situation to
represent the different rates of change. Label the x-axis
"Time" and the y-axis "Distance".

Answers

Answer:

You would draw a sloped line leaning to the right, then make it less steep, then draw a flat line.

Explanation:

The steeper slope represents the dog walking at a normal pace, when the line gets a little less steep it means the dog has slowed down, and when it is flat is where ethe dog took a rest.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

What is the equation of this line?

Answers

Answer:

y= -5/4x + 6

Step-by-step explanation:

y= mx + b

m= -5/4 (rise over run/slope)

b= 6 (y-intercept)

-I hope this helps have a great day!

Answer:

y = -5/4(x)+6

Step-by-step explanation:

to find the equation of this line, we must first find the slope

We can write the equation of this line y = mx + b where m is the slope and b is the y-intercept

m = (y2-y1)/(x2-x1)

m = (-4-6)/(8-0)

m = -10/8

m = -5/4

b is the y intercept which is at 6

So the equation of the line is y = -5/4(x)+6

i need some help please

Answers

the awnser will be 12 !!

have a good day !

(5/9 multiplied by -4) + (3/4 multiplied by -6) is ? Please please help ill give brainiest!!

Answers

Answer:

- 6 13/18

Step-by-step explanation:

5/9 times -4 is -20 over 9     -20/9     -2 2/9

3/4 times -6 is -18 over 4     -18/4         -4 1/2

You need them to have a common denominator

so you can multiply the first answer by 4 and the second by 9.

You get -242/36 after a while

and then

you simplify.

You can multiply 36 six times  into -242 so you get the whole number of 6 plus 216

242-216 is 26

26 over 36 is 13 over 18

-6 13/18

Zack delivers mail for the post office.everyday he walks a seven mile route.How many miles does Zack walk in one month if he works 22 days a month

Answers

If im right give me brainliest

Answer: 154

Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154  

Solve for n: 2n - 4 < 16

Answers

Answer:

n<10

Step-by-step explanation:

Answer:

n=10 ,,,,,,,,,,,,,,,

Alan spent $68 on fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?

Answers

148% ask for more please

The costs of renting a car from us is just $19.25 per day. Let x represent the number of days, and y represents the costs.

Answers

Answer:

y=19.25x

Step-by-step explanation:

Ms Rose has her rent deducted directly from her checking account. Each month she pays the same amount. At the end of the year, her balance has changed by $13,468.08 due to her rent. How much is Ms. Rose's rent each month?

Answers

Ms. Roses rent is $1122.32 each month. This is because their are 12 months in 1 year. When doing the total cost for 1 year which is $13,468.08/12=$1122.32

Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and y then solve for the measure of each angle

Answers

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

What’s the answer for b please?

Answers

Answer:

Maybe its 41?

I got 42 as the answer

Which are reasonable solutions for this situation if x
represents the number of hot dogs sold and y
represents the number of bottles of water sold? Check
all that apply.
O (-1,5)
O
(0,6)
O (2, 1)
(1, 1.5)
(1,3)
O (2, 2)

Answers

Answer:

C,E

Step-by-step explanation:

Just did it on edg

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