The line segment AB with endpoints A (–3, 6) and B (9, 12) is dilated with a scale factor 2∕3 about the origin. Find the endpoints of the dilated line segment. answers: A) (4, –2), (6, 8) B) (–2, 4), (6, 8) C) (–2, 4), (8, 6) D) (2, 4), (6, 8)

Answers

Answer 1

Answer:

B. The endpoint of the dilated line is (-2,4),(6,8)

Step-by-step explanation:

Given

Line segment AB

Endpoints: A(-3,6) and B(9,12)

Scale Factor: 2/3 about the origin

Required

Find the end points of the dilated line

From the question, we understand that the line segment is dilated about the origin;

The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;

This is shown below;

[tex]For\ A = (-3,6);[/tex]

The new endpoints become

[tex]A' = \frac{2}{3} A[/tex]

[tex]A' = \frac{2}{3} (-3,6)[/tex]

[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]

[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]

[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]

[tex]A' = (-2, 4)[/tex]

[tex]For\ B = (9, 12);[/tex]

The new endpoints become

[tex]B' = \frac{2}{3} B[/tex]

[tex]B' = \frac{2}{3} (9, 12)[/tex]

[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]

[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]

[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]

[tex]B' = (6, 8)[/tex]

Hence, the endpoint of the dilated line is (-2,4),(6,8)

Answer 2

Answer:

3/2

Step-by-step explanation:


Related Questions

What is the acceleration of a toy rocket that accelerates from 10.0 m/s to 30.0
m/s in 15.0 m?

Answers

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10

Answers

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

Would the answer be b an d for this

Answers

Answer by answer key by key question equals equation

Answer:

PROBABLY A and maybe D... here's why

Step-by-step explanation:

i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!

i tried :) hope it helps!

Which of the following is a counter example for the given conjecture?

Conjecture: All student have school pride.

A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event

Please answer this

Answers

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

D- John does not wear his school colors and does not attend any school event.

Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.

The given conjecture is "All students have school pride."

We need to identify a counter-example for the given conjecture.

What is a conjecture?

In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.

Now, "All students have school pride" is not true, because not all students have school pride.

The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"

Therefore, option D is the correct answer.

To learn more about the conjecture visit:

https://brainly.com/question/24881803.

#SPJ5

can someone please help me on this question?

Answers

Answer:

The second figure is rhombus but the first figure is square

Simplify.
Please I need it

Answers

Answer:

[tex]a^2[/tex]

Step-by-step explanation:

[tex]\sqrt[m]{a^{2m}}[/tex]

[tex]a^{2m \times 1/m}[/tex]

[tex]a^{\frac{2m}{m}}[/tex]

[tex]a^2[/tex]

Solve for x pls hurry !

Answers

Answer:

x = 7

Step-by-step explanation:

7x + 68 = 2x + 103

5x = 35

x = 7

help please, thank you

Answers

Answer:

.39-.23

=.16

that the answer

How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.

Answers

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.

This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

Given:

The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].

Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].

By the parent function we have to obtain given function ,So,we have to add on both  sides 2,

f(x)+2 = [tex]\sqrt{x+2}[/tex]

Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.

Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

For further details, please refer this link:

https://brainly.com/question/12427224

I don't know how to find the value of x in the isosceles triangle.

Answers

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

Can anyone please help me with this?

Answers

Answer:

point - slope form: y+1 =2(x+2)

slop - intercept form:  y =2x +3

standard form : 2x -y = -3 or -2x+y = 3

Step-by-step explanation:

find slope from given points using slope formula y₂ -y₁ / x₂ -x₁

slope m =5-(-1)/1-(-2) =6/3 =2

point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so

y - (-1) = 2(x -(-2))

y+1 =2(x+2)

slop - intercept form is y =mx +b where m is a slope and b is y intercept

now if you rearrange y+1 =2(x+2) as y =......

y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3

standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be

2x -y = -3

graphing is done by using  slop - intercept form:  y =2x +3

pick 2 points and draw the line; use given points

Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?

Answers

Answer: the second one

Step-by-step explanation:

The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

What is the reflection on y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).

(x, y) becomes (-y, x)  in 180° clockwise rotation

A(-5, 4)→(-4, -5)

B(-2, 4)→(-4, -2)

C(-1, 1)→(-1, -1)

Now,

The reflection of point (x, y) across the y-axis is (-x, y).

Then, coordinates become

(-4, -5)→A'(4, -5)

(-4, -2)→B'(4, -2)

(-1, -1)→C'(1, -1)

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

#SPJ3

What is unique about an equilateral triangle? *

Answers

Answer:

Option A

Step-by-step explanation:

An equilateral triangle's sides are equal to each other, and all their angles are equal.

The best option is A.

What makes the other answers wrong:

All angles in a equilateral triangle are 60° each. They are not obtuse.

All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.

All sides of a equilateral triangle are congruent.

help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96​

Answers

Answer:

the answer is 32

Step-by-step explanation: divide the product by the number that is being mutiplied

A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.

1. A. U
B. S
C. Line

2. A. Does
B. Does not

Answers

Answer :

A linear function has a graph in the shape of a line

A non-linear function does not have the same value added to or subtracted from the dependent variable

Step-by-step explanation:

A linear function is any function that graphs to a straight line.

So, The shape of linear graph is straight line .

1) A linear function has a graph in the shape of a ____

Answer : C . Line

Thus A linear function has a graph in the shape of a line

A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.

2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable

Answer B : Does not

Thus A non-linear function does not have the same value added to or subtracted from the dependent variable

If the bill is $47.96 and you leave a 15% tip, what is the tip amount?​

Answers

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

Answer: $7.19

Step-by-step explanation:

15/100 = 0.15

We only want the tip, not the total cost:

Do 0.15 * $47.96 to get about $7.19

What is the slope of -2x+ 5y = 10?

Answers

Answer:

the rise is 2 and the run is 5

Step-by-step explanation:

2/5

Answer:

Step-by-step explanation:

the slope is = 2/5

the y-intercept = 2

Ben makes $39,600 a year. What is the maximum amount he can afford for a'


mortgage each month?


O


O


O


A. $890


B. $825


c. $850


D. $875

Answers

Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry

The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

What is mortgage?

The mortgage is a type of loan which is taken to purchase the home or lands.

In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,

[tex]M=\dfrac{39600}{4}\\M=9900[/tex]

There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,

[tex]M=\dfrac{9900}{12}\\M=825[/tex]

Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.

Learn more about the mortgage here;

https://brainly.com/question/22598793

#SPJ2

Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
[tex]\frac{1}{3}(6x+23)+\frac{1}{3}[/tex]

Answers

please see the attached picture for full solution

hope it helps

good luck on your assignment..

four men working together can create a trench in 42 days. they begin the job but one man works only half days. How long will it take to complete the trench?

Answers

Answer:

48 days

Step-by-step explanation:

Four men working together can create a trench in 42 days.

Find the number of man-days to complete the job

4*42 = 168 man-days

They begin, but one man works only half-days.

How long will it take to complete the job?

Let d = no. days to complete the trench

d(3 + 0.5) = 168

d(3.5)=168

3.5d = 168

d = 168/3.5

d = 48 days

If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem

Answers

you could download 2 more songs.

X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song

Please help me solve this puzzle.

Answers

Step-by-step explanation:

marmiad=10

trident=6

pearls =4

10+6×4

=16×4

=64

hey!!

Answer:34

Step by step explanation:

4+4+4=12

4+4+10=18

6+10+10=26

10+6*4=34

hope it helps..

Help with homework! Basic area question.

Answers

Answer:

254.502

Step-by-step explanation:

IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!

Answer:

i believe the answer is: 69.498 cm

Step-by-step explanation:

At the party, Aisha and her friends ate 2 \dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction pizzas. After the party, there were 1 \dfrac{1}{8}1 8 1 ​ 1, start fraction, 1, divided by, 8, end fraction pizzas left. How many pizzas were there at the start of the party?

Answers

Answer:

[tex]3\dfrac{5}{8}[/tex] pizzas.

Step-by-step explanation:

It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.

After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.

Now,

[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]

[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]

Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza

[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]

[tex]=\dfrac{20+9}{8}[/tex]

[tex]=\dfrac{29}{8}[/tex]

[tex]=3\dfrac{5}{8}[/tex]

Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.

Answer:

3 & 5/8

Step-by-step explanation:

i got it right

Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions

Answers

Answer:

1) f(-10)

f(x) = x²

f(-10) = (-10)²

f(-10) = 100

2) f(-7)

f(x) = x²

f(-7) = (-7)²

f(-7) = 49

3) f(-5)

f(x) = x³

f(-5) = (-5)³

f(-5) = -125

4) f(-3)

f(x) = x³

f(-3) = (-3)³

f(-3) = -27

5) f(0)

f(x) = √x

f(0) = √0

f(0) = 0

6) f(2)

f(x) = √x

f(2) = √2

f(2) = 1.414

7) f(5)

f(x) = 1/x

f(5) = 1/5

f(5) = 0.2

8) f(7)

f(x) = 1/x

f(7) = 1/7

f(7) = 0.143

9) f(10)

FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-intercept form of the equation for this line?
O y = 2 x + 2
O y = 2 x - 4
O y = 2 x + 3 / 3
O y = 1/2 x - 1 / 2

Answers

Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?

Answers

Answer:

50%

Step-by-step explanation:

We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:

P (x <52000)

P ((x - m) / sd <(52000 -52000) /2)

P (z <0)

If we look in the normal distribution table we have to:

P (x <52000) = 0.5

That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%

Pleeaassee heeellllllppppp

Answers

Answer:

Nn

Step-by-step explanation:

The answer would be Nn

4.2 is 25% of what number

Answers

Answer:

16.8

Step-by-step explanation:

If 4.2 is 25% of a number:

25% x 4 = 100%

4.2 x 4 = 16.8

Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5

Answers

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Other Questions
help solve the above equation The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?Question 5 options:A) $13.79 per ticketB) $12.55 per ticketC) $10.99 per ticketD) $11.21 per ticket I will mark as BRANLIEST!I will give 55 points to answers this correctly!The tometti fossils are most related to?....... HELP!!!!! Consider the polynomial 9x2 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 16 is . At what age can a child choose the parent during a custody battle in New Jersey? Also what is the probability a parent could win custody if they have a history of being charged with endangering a child's welfare? in what order do the 5 stages of grief occur U.S. Cold War policy in the Middle East focused on: balancing support for Israel and Arab nations.trying to gain control of the Suez Canal.creating new trade agreements with Arab nations.blocking oil shipments to the Soviet Union. A flat coil of wire is used with an LC-tuned circuit as a receiving antenna. The coil has a radius of 0.30 m and consists of 420 turns. The transmitted radio wave has a frequency of 1.3 MHz. The magnetic field of the wave is parallel to the normal of the coil and has a maximum value of 1.7 x 10-13 T. Using Faraday's Law of electromagnetic induction and the fact that the magnetic field changes from zero to its maximum value in one-quarter of a wave period, find the magnitude of the average emf induced in the antenna in this time. Your bank account pays an interest rate of 9 percent. You are considering buying a share of stock in XYZ Corporation for $90. After 1, 2, and 3 years, it will pay a dividend of $4. You expect to sell the stock after 3 years for $100.Is XYZ a good investment? mi madre viene a recogerme a las 4 decimal representation of 4 / 15 is What preserves a shapes orientation? a. Vertical translation b. Reflection across the shapes base c. Rotation about its center The approach to criticism that determines what the writer said isevaluationinterpretationscanninganalysis Mrs. Fields needs more chocolate chips to make cookies. The store has bags that weigh 0.45 lbs., 0.434 lbs., and 0.4 lbs. Which bag should she purchase if she wants the most chocolate chips? Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)? Please help! Correct answer only!For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?$___ If a number is increased by 12 and then divided by 4, the result is 5. The algebraic equation is ?. The number is x= ? Why does mining have such an impact on the environment? A. Mining only affects the living parts of the environment. B. Because minerals are within the Earth's surface, extraction causes destruction. C. Mining requires the absolute destruction of an area to be cost-effective. D. Areas that are mined can never again sustain plant life. Please select the best answer from the choices provided A B C D True or False? A prism must have a triangular or rectangular base. give examples of how hypothesis lead to new experimental methods