ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6). Which scale factor was used to perform the dilation?

Answers

Answer 1

a scale factor is a number that u multiply one set of points by to get to the other set...

(3,9)....to (1.2,3.6)

so what are we gonna multiply 3 by to get to 1.2 ? And what are we gonna multiply 9 by to get to 3.6 ? It should be the same number

3x = 1.2 9x = 3.6
x = 1.2/3 x = 3.6 / 9
x = 0.4 x = 0.4

so 3 * 0.4 = 1.2
and 9 * 0.4 = 3.6

so ur scale factor is 0.4 or 2/5

Answer 2

Answer:

a scale factor is a number that u multiply one set of points by to get to the other set

Step-by-step explanation:

Related Questions

BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

1. The tables below show the values of y corresponding to different values of x:

Table A
x 3 2 1
y 1 0 0
Table B
x 3 5 4
y −2 1 1

Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.

2. Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?

The graph shifts 4 units up.
The graph shifts 4 units down.
The graph shifts 4 units left.
The graph shifts 4 units right.

Answers

1)
Both Table A and Table B represent functions.
2)
The graph shifts 4 units up.

Both Table A and Table B in the question represent functions, as each x value corresponds to exactly one y value in both tables. The operation of replacing the graph of f(x) with f(x) + 4 results in a vertical shift of the graph 4 units upward.

The subject of the question involves interpreting the data sets presented in Table A and Table B and understanding the behavior of functions. According to the definition, a function is a mathematical relationship wherein each input (x) corresponds to exactly one output (y).

Now, let's determine which tables represent functions. Table A: each 'x' corresponds to exactly one 'y', so this represents a function.

For Table B, each 'x' also corresponds to exactly one 'y', so this also represents a function.

This means both Table A and Table B represent functions.

As for the second question, the operation of replacing the graph of f(x) with f(x) + 4 will result in the graph shifting 4 units upward. The vertical shift is a result of adding 4 to the entire function f(x).

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Solve the system by elimination.

-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5

Please go step by step, thanks!

Answers

equation 1 plus equation 3 to cancel x, you will get: 5y+6z=5
equation 2 plus equation 3, you will get: 2y+4z=2
Now focus on these two new equation you've just got; Let's eliminate y next. To eliminate y, we first have to make the coefficient the same.
multiple 5y+6z=5 by 2 and multiple 2y+4z=2 by 5, we'll get:
10y+12z=10
10y+20z=10
subtract the second of these two equations from the first, you'll get: -8z=0, therefore z=o
Plug z=0 into either one of these two equations, you'll get y=1
plug z=0, y=1 into any of the original three equations, you will get x=1

If y=1/2 when x=2, find y when x=3, given that y varies directly with x

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=\frac{1}{2}\\ x=2 \end{cases}\implies \cfrac{1}{2}=k2\implies \cfrac{1}{4}=k \\\\\\ \boxed{y=\cfrac{1}{4}x} \\\\\\ \textit{when x=3, what is \underline{y}?}\qquad y=\cfrac{1}{4}\cdot 3[/tex]

How to solve x^2+bx+c=0 when b and c are negative by factoring?

Answers

Answer:

The "x² + bx + c = 0" ; is treated as:

"x² + (-b)x + (-c) = 0 " ;

or, put simply:
___________________________________
" x² − bx − c = 0 ;

in which: b = - (insert number);
and "c" = - (insert number);
___________________________________
Then, the expression on the "left-hand side" of the equation is "factored"; and set equal to "0" .
___________________________________
Note of interest: This is done even if "factoring" cannot be done; and/or if one wishes to proceed using the "quadratic equation formula" to solve for "x".
___________________________________
Hope this helps!

How would I graph and solve this inequality?? Help please! Press question to view image.

Answers

well, x has to be anything from 5 or below, as it has to be subtracted by three and the answer has to be less than 4. so, x=y<5 (first one)

negative 3 times a number = less than negative 12. so, the higher the number, but negative, is less than. (example:-52<-3) so, |x| is x=4>y
sorry if unclear...

check the picture below.

[tex]\bf |x|-3\le 4\implies |x|\le 7\implies \boxed{-7\le x\le 7} \\\\\\ -3|x|\ \textless \ -12\implies |x|\ \textgreater \ \cfrac{-12}{-3}\implies |x|\ \textgreater \ 4\implies \boxed{4\ \textless \ x\ \textless \ -4}[/tex]

Jenna has $50 to spend at a local crafts fair. The entrance price for the fair is $10. At a pottery stand, Jenna finds some cups that she likes that are $4.50 each. what is the maximum number of cups she can buy?

Answers

8 is the maximum she can buy
50-10=40
40/4.5=8.88888

8*4,5=36

If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?

Answers

The sales tax will be $28.39. 339*.08375

50 points!! help with justification of these steps please

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). She solves for x in 5 steps:

6x+2 = 6 - 3x
2 = 6 - 9x
-4 = -9x
4/9 = x
x = 4/9

What is the justification for each of the steps that Caitlyn took? Give the Algebraic Property for each step.

Answers

Below are the justification for the 5 steps which Caitlyn took in solving the equation: 2(3x+1)=3(2-x). Step 1: Expand the brackets on both sides of the equation 6x+2 = 6 - 3x Step 2: Collect the algebraic like terms 2 = 6 - 9x Step 3: Collect the numeric like terms -4 = -9x Step 4: Divide both sides to leave unknown values on one side 4/9 = x Step 5: Switch left and right hand sides x = 4/9

Answer:

combining like terms

Step-by-step explanation:

Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.

Answers

24.56m. your problem should look like a^2+29^2=38^2. you the. have a^2+841=1444. you subtract 841 from 1444 and are left with 603. < this is a^2. you take the square root of that and get 24.56

I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?

____foreign stamps

How many domestic stamps does Malik have?

____domestic stamps

Answers

OKAY listen up
So we have two equations
x - y = 34
x + y =212
Let's take the first equation and put it in terms of x
x-y+y= 34+y
x= 34 + y
Now that we have a value for x, substitute it into the second equation for x and solve for y.
(34+y)+y=212
34+y+y = 212
34+2y= 212
34-34+ 2y=212-34
2y= 178
2y/2=178/2
y= 89
Now that we know the value for y, we can substitute it into the first equation and solve for x.
x-89=34
X-89+89=34+89
X=123
Y= 89
X =123

ANSWER
Domestic Stamps: 123
Foreign Stamps: 89

After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.

Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.

Given the following system of equations:

[tex]x - y = 34\\\\x + y = 212[/tex]

To solve the system of linear equations, we would use the elimination method:

Adding the two equations together, we have:

[tex]2x = 246[/tex]

Dividing both sides by 2, we have:

[tex]x = \frac{246}{2}[/tex]

x = 123 domestic stamps

To find the value of y:

[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]

y = 89 foreign stamps

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How many pairs of triangles appear congruent? The triangles may overlap

Answers

We will need an image but i am happy to change my answer with the correct answer as soon as we have what we need

Answer:

4. If i know the picture you're talking about it would be 4.

Step-by-step explanation:

In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March

Answers

Final answer:

Rodney sold 16 cars and Greg sold 8 cars in March.

Explanation:

Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.

Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.

In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.

Greg sold 3 more cars than he did in March, so we have the equation G + 3.

Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.

Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.

Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.

Rodney: 16 cars

Greg: 8 cars

It takes 36 minutes for 7 people to paint 4 walls. How many minutes does it take 9 people to paint 7 walls?

Answers

Seeing as 7 people get 4 walls in 36 minutes, we can say that the amount of walls one person gets done in 36 minutes is 4/7 (due to that if 7 people=4 walls, we can divide both sides by 7 to get 4/7 walls = 1 person). and the amount that one person gets done in one minute is 4/(7*36)=4/252=1/63 due to that, assuming that everyone works at the same rate, they do 1/36th of the work in 1/36th of the time. Since we need to find how long it takes for 9 people to paint 7 walls, we can start by getting the amount of walls done per minute for 9 people - since 1 person is 1/63, we can multiply that by 9 to get 9/63=1/7. Next, we have to figure out how many minutes (1/7ths of walls) it will take to get to 7 walls - to find that, we can divide 7 by 1/7 to get
(7/1)/(1/7)=(7*7)/1=49

Please help!!

Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.

Answers

Final answer:

The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.

Explanation:

To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is

(x - h)² = -4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.

Substituting the values for the vertex and p, we get

(x - 0)² = -4(3)(y - 0)

which simplifies to

x² = -12y

This is the standard form of the parabola with the given focus and directrix.

answer is center of rotation

Answers

In a rotation, the point that does not move. The rest of the plane rotates around this one fixed point.

the equation y= -5.131x^2 +31.821x -3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.
What is the best estimate for the number of people in line at 8 a.m?
A. 77
B. 46
C. 40
D. 32

Answers

B. 46 Replacing x with 3 (= 8-5) gives -5.131*3^2 +31.821*3 -3.333 = 45,951

Answer:

The answer is 42!!! I just took test.

Step-by-step explanation:

Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?

Answers

Use the formula d = rt (where d is the total distance traveled, r is the average rate of travel, and t is the total time taken to travel the distance given) to solve this problem.

We'll simply substitute the known values in and solve for r.

3 = 0.75r (The reason I am substituting 0.75 for t instead of 45 is that the problem is asking for how fast he travels in terms of miles per HOUR, not hours per minute. 45 minutes is 0.75 of 1 hour.)

4 = r

Barry walked at an average speed of 4 miles per hour!

Solve the inequality (show your work):

-5/2(3x + 4) < 6 - 3x

Answers

(-15/6)x-10<6-3x

(-15/6)x+(18/6)x<16

(1/2)x>16

x>32

-5/2 (3x+4)<6-3x distribute

-15/2 x-10<6-3x move -15/2 to the other side by adding it to 3x

-10<6+9/2 x move 6 over by subtracting it from -10

-16<9/2 x divide 9/2 by 16 (or multiply 2/9)

-32/9<x

MATH HELP
WILL AWARD BRAINILEST

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. After each cut, the remaining area is % of the previous area.

I think its 25% but idk

Answers

The remaining area is 20% of the previous area.

Hope this Helps!

Let's just take a look at the first two points plotted, (0,100) and (1, 80). The difference between 100 and 80 is 20, but what percent of 100 is 20? Well, since any percent x% can be represented as a fraction in the form [tex] \frac{x}{100} [/tex], and the the ratio of 20 to 100 is already [tex] \frac{20}{100} [/tex], our answer is a 20% decrease, which means that you're taking 100 - 20 = 80% of the previous area at each point.

Edit: Since I misread the question, I want to reframe my previous explanation instead in terms of what percent of the area of the previous point is left.

Looking again at the areas plotted, what percent of 100 sq. cm is 80 sq. cm? We want to translate the question into math, and our first indicator of where to start is the phrase "what percent of 100 sq. cm." When we talk about taking a fraction or percent of another quantity, we're usually referring to multiplying that fraction by that quantity. In this case, we have our unknown percent, [tex] \frac{x}{100}[/tex], multiplied by 100, which, of course, just leaves you with x. And we're told that this quantity is equal to 80, so we have our answer. x = 80, so we're going to be taking 80% of the area each step.

Please help with all 3 questions thank you.

Answers

question 1. is C

question 2. is There is not enough information to prove that the triangles are congruent. The ongruence statement can you write about the triangles in the previous problem is △JFE≅△SFV

question 3. i think itd be D

5 hundred 25 thousand six hundred minutes

Answers

5 hundred 25 thousand six hundred moments so dear.

The school bookstore sold 8 more pencils than pens one day. A pencil costs $0.05 and a pen costs $0.20. If the day's sales of pens and pencils totaled $8.90, how many pencils were sold?

Answers

amount of pens sold = p
amount of pencils sold = p + 8
0.05(p + 8) + 0.20(p) = 8.90 each pen is $0.20 while each pencil is $0.05
0.05p + 0.4 + 0.20p = 8.90
0.25p = 8.50
amount of pens: 34
amount of pencils: 34 + 8 = 42

Final answer:

To solve this problem, we use algebraic equations to represent the situation. By setting up an equation for the total sales and solving for the number of pens, we can then calculate the number of pencils sold based on the given information. In this case, 34 pens and 42 pencils were sold.

Explanation:

Let's solve this problem using algebra. Let the number of pens sold be x. According to the problem, the number of pencils sold is x + 8. Now we can set up an equation to represent the total sales:

0.20x + 0.05(x + 8) = 8.90

Simplifying the equation, we get:

0.20x + 0.05x + 0.40 = 8.90

Combining like terms,

0.25x + 0.40 = 8.90

Next, we can subtract 0.40 from both sides of the equation to isolate x:

0.25x = 8.90 - 0.40

Subtracting, we find that

0.25x = 8.50

Finally, we can divide both sides of the equation by 0.25 to solve for x:

x = 8.50 / 0.25

Calculating, we find that x = 34. This means that 34 pens were sold. Since 34 pens were sold and there were 8 more pencils sold than pens, there must have been 34 + 8 = 42 pencils sold.

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If you purchase 100 items that cost $.25 each, how much would the items cost all together?

Answers

$2.50 if I'm not mistaken :)

You would get a total of $25.00 bc .25x100=25.00

an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?

Answers

x is the number of movies for the cost of the plan to be the same.

4.25x=36+3.5x
4.25x-3.5=36
0.75x=36
x=36/0.75
x=48

x=48
x is the number of movies for the cost of the plan to be the same.

What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?

Drag the steps and drop them in order from start to finish.
-------------------------------------------------------------------------------------------------------------------------------

Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
-------------------------------------------------------------------------------------------------------------------------------
Construct a circle with its center at point H.
-------------------------------------------------------------------------------------------------------------------------------
Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
-------------------------------------------------------------------------------------------------------------------------------
Construct horizontal line l and point H on line l.
-------------------------------------------------------------------------------------------------------------------------------
Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
-------------------------------------------------------------------------------------------------------------------------------

Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

Answers

The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:

1. Construct a circle with its center at point H.

2. Construct horizontal line l and point H on line l

3. Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.

4. Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ

5. Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.

6. Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .

Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?

Answers

C HE WILL GET LOANS MORE EASILY

Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set

How to find out how likely it is to get 13% chance at something 13 times?

Answers

im speechless for this one .

a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point where the shot needs to land. given that the maximum height of the shot is 120 feet, and that the intended distance of 500 feet is reached, by how much did the ball clear the tree?

Answers

We can create a parabola equation of the trajectory using the vertex form:

y = a (x – h)^2 + k

The center is at h and k, where h and k are the points at the maximum height so:

h = 250

k = 120

Therefore:

y = a (x – 250)^2 + 120

At the initial point, x = 0, y = 0, so we can solve for a:

0 = a (0 – 250)^2 + 120

0 = a (62,500) + 120

a = -0.00192

So the whole equation is:

y = -0.00192 (x – 250)^2 + 120

So find for y when the golf ball is above the tree, x = 400:

y = -0.00192 (400 - 250)^2 + 120

y = 76.8 ft

So the ball cleared the tree by:

76.8 ft – 60 ft = 16.8 ft

Answer:

16.8 ft

There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there

Answers

Hi. In order to solve this word problem, you must make two equations and solve them together. To make it easy, we will let the letter "p" represent the pigs and the letter "c" for the chickens. So our first equation will be:

p + c = 13

Now to count the legs - we know that pigs have 4 legs and chickens have 2 so our next equation will be:

2c + 4p = 40

Using the first equation we see that c = 13 - p Now we insert this into the second equation and solve:

2x(13-p) +4 pm = 40
26 - 2p + 4p = 40
2p = 14
p = 7 (there are 7 pigs so now we know there are 6 chickens.

Answer: 7 pigs and 6 chickens

I hope this helps.

Take care,
Diana

translate the following points 5 units up (-5,-2) (-2,1) (-4,-7)

Answers

Answer:
(-5, 3)
(-2, 6)
(-4, -2)

Explanation:
To translate 5 units up means to add 5 to the y value since the y-axis dictates the vertical positioning of a coordinate. However, the x-values remain unchanged.
So all the y values are -2, 1, and -7. Add 5 to all of these.
-2 + 5 = 3
1 + 5 = 6
-7 + 5 = -2
Then re-pair them with their x-values like so:
(-5, 3)
(-2, 1)
(-4, -2)
Víola.

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