The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?

Answers

Answer 1

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer 2

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!


Related Questions

Algebra 2 Need help with b

Answers

Answer:

a. was incorrect a = -0.109569028 so...

y = -0.109569028(x + 7)² + 54

b. It's been the above vertex equation for a parabola then

set y = 40 equal to the parabolic equation, we get

40 = -0.109569028x² - 1.533966392x + 48.631117628

solve for x we get

x = -18.3036867393939 or ~ 18.3 feet

Step-by-step explanation:

y = a(x - h)² + k

(h, k) = vertex = (-7, 54)

x = h is the axis of symmetry -7

y = a(x -(-7))² + 54

y = a(x + 7)² + 54

solve for a by inputting the point (15.2, 0)

0 = a(15.2 + 7)² + 54

-54 = a(22.2)²

-54 = 492.84a

a = -54/492.84

a = -0.109569028

the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map

A. 1.5 km

B. 2.4 km

C. 60 km

D 20 km​

Answers

2.4 please follow mee i think this is answer

A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?

Answers

With the given focus of (-9,6) and directrix of x=-1 we know that the equation for this parabola would be :
-16x-80=(y+1)^2
The vertex would be :
(-5,-1)
Eccentricity 1
Axis of symmetry y=-1
x intercept (-8/16, 0)
No y intercept
And the graph pic of parabola is in attached pic

Pa help po pleass po

Answers

Answer:

Refer to the attachment

Is (-12,8) a solution to 2x+y=40

Answers

Answer:

no it is not. the line crosses the x in 20, and crosses the y in 40

3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets

Answers

Answer: It will be D

Step-by-step explanation: 5 divided by 8 is 1.2

It would be D because 5 divided by 8 is 1.2

Find the missing length

Answers

Step-by-step explanation:

with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.

that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.

x/64 = 36/x

x² = 36×64

x = sqrt (36×64) = 6×8 = 48

long story short, x is the geometric mean value of the segments of the Hypotenuse.

geometric mean value means the nth root of the product of n numbers.

in our case - square root out of 2 numbers (the segment lengths).

Check all solutions to the equation. If there are no solutions, check 'None."
x = -5

Answers

Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

$56 for 25 gallons or $30.05 for 15 gallons

Answers

um what do you mean by that?

If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?

Answers

Answer:

The correct answer is 9.

Step-by-step explanation:

To get this solution, you would need to use division.

[tex]\frac{54}{6} = 9[/tex]

--

To be sure that the answer is correct, check your answer.

[tex]9*6 = ?[/tex]

[tex]9*5 = 45[/tex]

Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.

[tex]45+9=54[/tex]

--

**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.

Answer:

$9 per cup

Step-by-step explanation:

Let the unit price is x.

6 cups cost $54:

6x = 54x = 54/6x = 9

suppose a varies directly as b, and a =8 when b =3 find b when a =24

Answers

Answer:

b=9

Step-by-step explanation:

since a varies directly as b,

a=kb

k=a/b

k=8/3

but when a=24, b will be given by

b=a÷k

b=24÷8/3, b=24×3/8

b=9

3x+2=23
Please show steps on how to do.

Answers

Answer:

x = 7

Step-by-step explanation:

3x+2=23

Subtract 2 from each side

3x+2-2 = 23-2

3x = 21

Divide each side by 3

3x/3 = 21/3

x = 7

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 2 = 23

Then the value of x will be,

→ 3x + 2 = 23

→ 3x = 23 - 2

→ 3x = 21

→ x = 21 ÷ 3

→ [ x = 7 ]

Hence, the value of x is 7.

A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?

Answers

Answer:

4 Cups of Flour

Step-by-step explanation:

t=(m+b)x solve for x

Answers

Answer:

[tex]x=\frac{t}{m+b}[/tex]

Step-by-step explanation:

T = (m + b)x

Divide both side by (m + b):

[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]

Cancel out (m + b) and you have your answer!

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.

Answers

Answer:-

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Step-by-step explanation:-

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin

Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?

The constant of proportionality for the amount of flour to sugar in this recipe is ___.

If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.

Answers

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

Let y represent the cups of flour and x represent the cups of sugar. Hence:

3.5 cups of flour for every 1.75 cups of sugar:

y ∝ x

y = kx

k is the constant of proportionality

3.5  = 1.75k

k = 2

y= 2x

If Kareem uses 3.5 cups of sugar, he will need:

y = 2x = 2(3.5) = 7

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Find out more at: https://brainly.com/question/21126582

A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?

Answers

Answer:

1 1/4

Step-by-step explanation:

helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!

Answers

Answer:

33ft^2

Explanation:

surface area of square pyramid equation:  [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]

A = 34.63, so none of the answers shown are really it.

A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard

Answers

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]

Step-by-step explanation:

Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].

We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].

Combining like terms on the left side gives [tex]5x+25=180[/tex].

Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].

Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].

So, the first angle is [tex]31^{\circ}[/tex].

The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].

The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].

So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!

The check that these angles work is left as an exercise to the reader.

Solve the photo above ⬆️

Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l

Answers

Answer:

7¹⁰ :) hope this helps you!!

The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?

Answers

Answer:

12 units

Step-by-step explanation:

Perimeter formula:

P = 2(l + w)

Given:

l = 3x - 2w = 2xP = 56

Find the value of x:

2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6

BC is parallel side to AD and is:

BC = AD = 2*6 = 12

BC must parallel to DA hence equal

Now

2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6

BC=2(6)=12units

Step by step please!

One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?

Answers

Answer:

21

I hope this helped I would appreciate brainliest if possible

The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash

Answers

Answer:

Total expenses: $34,520

Money needed for profit: $34521

Is this a good idea: Not unless he is prepared for it to go under...

Step-by-step explanation:

how do i solve this type of rational equation (x^2-16)/(4-x)

Answers

I thinks it’s -x-4 I’m not sure

4. Find the scale factor using the given scale drawing and measurements below.

Answers

Answer:

Actual=3cm

Scale=5cm

3x=5

3/3x=5/3

X=5/3

The scale factor is 5/3

Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1

The indicated Z score is what?

Answers

The indicated Z score according to the given graph will be z < -0.1635

The normal distribution has a mean-values between 0 and 1.

From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.

According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635

Learn more here: https://brainly.com/question/24213960

Find the slope of the line through each pair of points
(10, -14), (11,11)

Answers

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?

Answers

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.

En este problema:

La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].

Diseño de 2 componentes:

2 componentes implica que [tex]n = 2[/tex].

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

4 componentes implica que [tex]n = 4[/tex].

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

3 1/4 as in improper fraction

Answers

Answer:

13/4

Step-by-step explanation:

3 lots of 4 = 12.

Add 1 from the existing numerator.

Therefore, answer is 13/4.

Hope this helps :)

13/4. Multiply the denominator by then the whole number, then add the numerator. Keep the denominator. I hope this helps:)

8.618 divided by 0.695

Answers

Answer:

8.618 divided by 0.695= 12.4

hope this helps <3

Other Questions
(4 to the 2th power - 8 + 2 x 10) divided ( 3 to the 2 power - 5 Evaluate 2(x + 1) - 3 when x = 6.A. 11B. 10C. 5O D. 8 What does the sandwich generation mean Write an expression to represent the situation and answer the question. Shana took a test with 50 questions. She lost 2 points for each of the 5 quedtions she got wrong. She got 3 extra credit questions correct and recived 5 points for each. What is the total number of points she gained or lost overall if blood calcium levels drop below 8.5 mg/dl which hormone is likely to be activated? help pls i dont know it!!!! What is word in computer? Perform the indicated operation and simplify the result. x/5+x/6 If someone has wronged you, as a Christian you need to avoid the conflict in order to prioritize the other person's self-esteem. TrueFalse We mix 88 grams of oxygen gas with 33 gramsof argon gas in a volume of 2400 mL at 62C.What will be the final pressure of the gasmixture? How did the priorities of Marahs parents change as a result of the war? How might Marahs relationships with her parents have been affected by these changes? If you could propose an amendment that nullifies the 2nd Amendment, what would it say? Please help me with algebra!! can someone write a spooky or gothic story & include them finding a diary in the story. NO PLAGIARISM! ill mark you brainliest!! An advantage of a private home network is that is typically more secure than public Wi-Fi. compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions 1,3,4,6,9 pls help me What is 0.000000037 written in scientific notation? How can this sentence be corrected?"I'm hungry do you have any cheese?"Select one:By placing a period after "hungry" and capitalizing the "d" in "do."By placing a question mark after "hungry."By placing a comma after "do."By placing a semicolon after "hungry" and capitalizing the "d" in "do." Un juego los Estados Ur Observa y responde a las siguientes preguntas . 1. Qu pas es el nico sin costa en el mar Caribe ? 2. En qu pas se habla ingls ? 3. Qu pas es el ms largo y estrecho ?