Determine the coordinates of the vertices of the image of △ABC after a reflection in the line y=−x.
A(3, 4)→ A′ ( )
B(3, 2)→ B′ ( )
C(−1, 2)→ C′ ( )

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

A(3, 4)→ A′ (-4, -3)

B(3, 2)→ B′ (-2, -3)

C(−1, 2)→ C′ (-2, 1)

Answer 2

The coordinates of the vertices of the image of △ABC after a reflection in the line y=−x are A'(-4,-3), B'(-2,-3), and C'(-2,1) and this can be determined by using the rules of transformation.

Given :

The triangle ABC is reflected about the line (y = -x).

The following steps can be used in order to determine the coordinates of the vertices of the image of △ABC after a reflection in the line (y = −x):

Step 1 - Let the coordinate be (x,y) so after the reflection about (y = -x) the coordinate becomes (-y,-x).

Step 2 - The coordinate A(3,4) after the reflection about (y = -x) becomes A'(-4,-3).

Step 3 - The coordinate B(3,2) after the reflection about (y = -x) becomes B'(-2,-3).

Step 4 - The coordinate C(-1,2) after the reflection about (y = -x) becomes C'(-2,1).

For more information, refer to the link given below:

https://brainly.com/question/11709244


Related Questions

If g(x) = 2 − 1, what is g(−2.3)?
A) -7
B) -5
C) -4
D) -3

Answers

Answer:

-5.6

Step-by-step explanation:

Let the given function be g(x) = 2x - 1

To get g(-2.3), you will substitute x = -2.3 into the expression as shown;

g(x) = 2x - 1

g(-2.3) = 2(-2.3) - 1

g(-2.3) = -4.6 - 1

g(-2.3) = -5.6

Hence the value is -5.6

Note that the function was assumed. Same procedure can be applies for any function g(x).

Trapezoid JKLM with vertices J(-6, 6), K(-3, 7),
L(-1, 3), and M(-8, 0): (x, y) = (x + 7, y - 3)

Answers

Answer:

[tex]J' =(1, 3)[/tex]

[tex]K' = (4,4)[/tex]

[tex]L' = (6,0)[/tex]

[tex]M' = (-1,-3)[/tex]

Step-by-step explanation:

Given

[tex]J = (-6,6)[/tex]

[tex]K = (-3,7)[/tex]

[tex]L= (-1,3)[/tex]

[tex]M = (-8,0)[/tex]

Transformation: [tex](x,y) = (x+7,y-3)[/tex]

This means that, we add 7 to the x coordinate and subtract 3 from the y coordinate.

For J, we have:

[tex]J = (-6,6)[/tex]

[tex]J' =(-6 + 7, 6 - 3)[/tex]

[tex]J' =(1, 3)[/tex]

For K, we have:

[tex]K = (-3,7)[/tex]

[tex]K' = (-3+7,7-3)[/tex]

[tex]K' = (4,4)[/tex]

For L, we have:

[tex]L= (-1,3)[/tex]

[tex]L' = (-1 + 7,3-3)[/tex]

[tex]L' = (6,0)[/tex]

For M, we have:

[tex]M = (-8,0)[/tex]

[tex]M' = (-8+7,0-3)[/tex]

[tex]M' = (-1,-3)[/tex]

david bought 2 dozen eggs for $56. since 6 of them broke, he incurred a loss of $20 on selling them. what was the selling price of an egg?​

Answers

Answer:

$3.33

Step-by-step explanation:

6 of them broke, he incurred a loss of $20 on selling them

$20/6=$3.33

convert the following equation into slope-intercept form:
-6x + y = 12

Answers

Answer:

y=6x+12

Step-by-step explanation:

Hope this helps!

Answer:

y = 6x + 12

That should be it.

10x⁵+18

Factor the expression completely

Answers

Factor out 2
2(5x^5 + 9)

a) A farmer has 50 acres of land in which he plans to plant maize and beans. Each acre of maize requires 6 people and each acre of beans requires 2 people to work on it. He has at least 60 people available. He must plant at least 10 acres of beans. The profit on maize is KES 2000 per acre and on beans is KES 3000 per acre. If he plants x acre of maize and y acres of beans,
i) write down 4 inequalities of x and y to describe his plan
ii) represent the 4 inequalities graphically
iii) determine the acreage for each crop for maximum profit

Answers

Answer:

Hi how are you doing today Jasmine

PLEASSEEE CAN ANYONE HELP WITH THIS PLEASE ITS DUE SUPER SOON!! ILLG GIVE LOTS OF POINTS GUYS
Find the equation of the tangent line to the graph y=(sqrt(3x))-4 at x=1
ANSWER CHOICES:
y=x
y=sqrt(3x)-4
y=sqrt(3x)-3
y=x+3+sqrt3

Answers

Answer:

y=sqrt(3x)-4

Step-by-step explanation:

Jamal earns $40 washing 5 windows. At this rate, how many windows did Jamal wash to earn $80?​

Answers

10 windows : divide 40/5=8
Then divide 80/8 =10

Answer:

Jamal washed 10 windows

Step-by-step explanation:

The rate that Jamal washes windows at is $8/1 window

8/1=80/10

I hope this helped

6. Cindy is 2 years older than Marie. Their ages total 30 old is each person?​

Answers

Answer:

huh? no they cant both be 30 at the same time is cindy is 2 years older than marie....

Step-by-step explanation:

7925 divided by 72. It keeps coming out wrong as I do it so I need help

Answers

Answer:

110 R 5

Step-by-step explanation:

plz plz plz give brainlyest

Answer:

110.0694

Step-by-step explanation:

because it is

What is a negative plus a positive

Answers

Answer:

When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction. Basically you are subtracting the 2. The answer is 2.

Step-by-step explanation:

A negative plus a positive= negative

A wave with a frequency of 60 hertz would generate 60 wave crests every

Answers

What hold up wait cause this confused me drop a picture

Answer:

Every second

Step-by-step explanation:

im doing the same thing i have the answer already

A dime rolls 41.8 cm. How many rotations did it make?

Answers

Answer:

to figure this out you would need to know the circumference of the dime. then divide 41.8 by the circumference.

Step-by-step explanation:

if the circumference is aprox. 2.2 inches, then you would divide 41.8 by 2.2.

Ashley and Becky both start jogging at the same point along a path in the park. It takes Ashley 12 minutes to jog one complete lap along the path, and it takes Becky 8 minutes to jog one complete lap along the path. After how many minutes will Ashley and Becky both be at their starting point on the path again?

Answers

Answer:

24 minutes

Step-by-step explanation:

Given

Ashley = 12 minutes

Becky = 8 minutes

Required

Determine when they will be at the same point again

To do this, we simply determine the least common factor of both.

Ashley = 12, 24, 36, 48....

Becky = 8, 16, 24, 32........

From above, the least common factor is 24

Hence, both of them will be at the starting point in 24 minutes

(Question Attached) Multiple Choice

A.) 6.25
B.) 6
C.) 5.5
D.) 5.75

Answers

Answer: c

Step-by-step explanation:

Answer:

C. The only way I know is I had a problem like that recently.

HELP ASAP !! A system of linear equations is shown below.



2x – 3y = 17
–3x + y = –1

Choose a method (Elimination or Substitution) to solve the system of equations. Solve and explain your process.





Academic Language:

Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.

Answers

Answer:

x= -2, y= -7

Step-by-step explanation:

(Solve for y)

-3x+y=-1

1. add 3x to both sides

y=3x-1

(Substitute y=3x-1 into 2x-3y=17)

1. 2x-3(3x-1)=17

2.Simply it (Distributive Property)

3. -7x+3=13

(Solve for x)

1. Subtract 3 from both sides

2.  Divide both sides by -7

3. x=-2

(Substitute x=-2 into y=3x-1)

1.  y= 3 x -2-1

2. y= -7

Therefore ,

x= -2

and

y= -7

So yeah this is a retake

Answers

The first is (x + 3, y + 2)

i’m confused on this please help

Answers

Answer:

C) On average, children grow about 9 inches every 2 years.

Step-by-step explanation:

Think about what the slope 9/2 means:

Slope is Change in Y / Change in X which is Change in Height / Change in Age, so 9 inches / 2 years means that on average, children grow about 9 inches every 2 years.

Which expression is equivalent to x-6 plzzz​

Answers

-6+x...? dont have much info to go off

Need help ASAP!! Which is an appropriate statement about angles 3 and 4 in the diagram below?

A.) m∠3 + m∠4 = 180
B.) Angles 3 and 4 are complementary
C.) ∠3 ≅ ∠4
D.) m∠3 > m∠4

Answers

Answer:

A

Step-by-step explanation:

As we can see, both <3 and<4 lie on the line T so that means that their sumw ould equal 180 degrees.

Tell me if you still don't understand.

Angle 3 and 4 are complementary angles as their sum is 180 degrees. Option B is correct.

What is the complementary angle?

When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

In the given figure we can see that the segment s is cutting the segment l at some point so angle 3 and angle 4 are forming the complementary angles. It means that the sum of the angles will be 180.

Therefore, angles 3 and 4 are complementary angles as their sum is 180 degrees. Option B is correct.

To know more about complementary angles follow

https://brainly.com/question/16281260

#SPJ2

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Answers

9514 1404 393

Answer:

  64.5 square inches

Step-by-step explanation:

The area of each of the two triangles can be found from the formula ...

  A = (1/2)bh

left triangle

  A = (1/2)(9.8 in)(8.6 in) = 42.14 in²

right triangle

  A = (1/2)(5.2 in)(8.6 in) = 22.36 in²

Total shaded area is the sum of the areas of the two triangles:

  (42.14 +22.36) in² = 64.5 in²

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).

Answers

Answer:

your answer is:

b must equal 7 and a second solution to the system must be located at the point (2, 5).

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Al llegar al hotel nos han dado un mapa con los lugares de interés de la ciudad, y nos han dicho que 5 centímetros del mapa representan 600 metros de la realidad. Hoy queremos ir a un parque que se encuentra a 8 centímetros del hotel en el mapa. ¿A qué distancia del hotel se encuentra este parque?

Answers

Answer:

La distancia real entre el hotel y el parque es 960 metros.

Step-by-step explanation:

Este es un caso de factor de escala, donde 5 centímetros en el mapa equivalen a 600 metros a escala real. Por tanto, la distancia entre el parque y el hotel en el mapa halla su equivalente mediante la siguiente regla de tres simple:

[tex]x = \frac{600\,m}{5\,cm}\times 8\,cm[/tex]

[tex]x = 960\,m[/tex]

La distancia real entre el hotel y el parque es 960 metros.

Solve 21.85 x (-6.2)

Answers

Answer:

= −135.47x

Step-by-step explanation:

^^^^^^^^^^^^^^^

Enter an equation in slope-intercept form for the line below.
4x +y = 2
Y=?

Answers

Answer:

y=2-4x

Step-by-step explanation:

move 4X to the other side and change the sign from plus to mines

Answer:

y = -4x + 2

Step-by-step explanation:

[tex]4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}[/tex]

Hope this helps.

7. Jeff is a part-time student at UCO. He currently has 22 credits, and he plans to take
6 credits per semester until he is finished. Jeff's friend Kila is also a student at the
college. She has 4 credits and plans to take 12 credits per semester. After how
many semesters will Jeff and Kila have the same number of credits?
A. 1 semesters
B. 2 semesters
C. 3 semesters
D. Cannot be determined

please help i need to get my grades up ‍♀️

Answers

Answer:

Your answer is C.

22+(6x3)=40

4+(12+3)40.

On Tuesday Emily bought four posters,
On Wednesday half of all the posters that
she had were destroyed. On Thursday
there were only 10 left. How many did
she have on Monday?

Answers

Answer: 16 posters

Step-by-step explanation:

Monday - Had owned 16 posters

Tuesday - Bought 4 posters, adding up to 20

Wednesday - Half of the posters were destroyed, half of 20 is 10

Thursday - 10 posters remained.

Answer:

She had 16 posters on Monday.

Solve in quadratic formula ​

Answers

Answer:

I'm sorry I don't know what that means so I just put the meaing for quadratic formula

Step-by-step explanation:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others

I'm sry that this is not the answer you were probaly looking for but all you said was "Solve in quadratic formula" and theres nothing else so pls if you need to fix that pls do so you can get your answer- Lily~Senpai :P

write each phrase as an algebraic expression:

1. Forty-two less than a number z
2. The product of eleven and a number k
3. A number t increased by seventy
4. The quotient of forty-three and a number m
5. Sixty-four added to a number w
6. One-hundred decreased by a number j
7. The sum of a number g and nine
8. Seventeen fewer than a number h
9. One-fourth of a number v

Answers

Answer:

1. Forty-two less than a number z

z - 42

2. The product of eleven and a number k

11k

3. A number t increased by seventy

t + 70

4. The quotient of forty-three and a number m

43/m

5. Sixty-four added to a number w

w + 64

6. One-hundred decreased by a number j

100 - j

7. The sum of a number g and nine

g + 9

8. Seventeen fewer than a number h

h - 17

9. One-fourth of a number v

1/4v or v/4

Create the graph of g(x) on a new set of axes using the graphs of a(x) and d(x). Label your scale and axes.

Answers

Answer:

I honestly don't know

Step-by-step explanation:

8182i2o2o

828262781

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