The coordinates of triangle QRS are Q(-2, 4), R14,0) and S(6,2). The figure was dilated and the new coordinates are Q(-3, 6), R'(6,0) and S'(9,3). What is the scale factor? What is the algebraic rule?​

Answers

Answer 1

Answer:

Scale factor is 3/2

Step-by-step explanation:

Just take any coordinate of any point that was scaled and that had a non-zero initial value. Let’s take the x axis of Q. There’s [tex]x_Q = -2 \land x_{Q'} = -3[/tex].

So, the scaling factor has to be [tex]\frac{x_{Q'}}{x_Q} = \frac{-3}{-2} = \frac{3}{2}[/tex]. You can confirm that [tex]\frac{x_{Q'}}{x_Q} = \frac{y_{Q'}}{y_Q} = \frac{x_{R'}}{x_R} = \frac{x_{S'}}{x_S} = \frac{y_{S'}}{y_S}[/tex]. (I omitted [tex]\frac{y_{R'}}{y_R}[/tex] because of zero values)

The algebraic rule for getting the point [tex]P'(x_{P'}, y_{P'})[/tex] in the dilated space from any given point [tex]P(x_P, y_P)[/tex] is [tex]\left \{ {{x_{P'} = \frac{3}{2}x_P} \atop {y_{P'} = \frac{3}{2}y_P}} \right.[/tex]


Related Questions

Find the value of both variables. Round to the nearest tenth.
30
w
45
44°
to
w=
type your answer...
degrees; x= type your answer...
degrees

Answers

Answer:
W=~20.8
X=~62.5 degree
Solution:
Soh, Cah, Toa
[Left Triangle] 30=hypotenuse, W=opposite
Sin(angle)=o/h
Sin(44)=W/30
Sin(44)*30=W
W=20.8
[Right Triangle] W=20.8=adjacent, 45=hypotenuse
Cos(x degree)=a/h
Cos(x)=20.8/45
x=arc cos (20.8/45)
x=62.5

I have a D in math and need to bring my grade up!! Please help!! 32 pts!!!!

Answers

So I searched it up and this seems to be correct 1 2 4

can someone please tell me the answer?

Answers

d, it has a right angle which is a 45 degree angle and that is not listed on the options. hope this belay

what is 3.8 x 10^5 ?????

Answers

380000

Step-by-step explanation:

3.8*10*10*10*10*10

3.8*100000

380000

Estimate 45.9 divided by 7

Answers

Answer:

6.557

Step-by-step explanation:

Answer:

6.557

Step-by-step explanation:

Hope this helps and have a great day!!!

A student received a coupon for ​19% off the total purchase price at a clothing store. Let z be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.

z-0.19z=

Answers

Answer:

0.81z

Step-by-step explanation:

Minus 0.19 from 1

help mee pleaseeeeeeas

Answers

the answer is 189 because 9 x 21 (width x height)

Answer:

Step-by-step explanation:

Volume = 1/2 a * b*h

So

V= 1/2 (9)(6)(21)= 567 us ^3

What is the slope of the following line?


Answers

Answer:

3/6

Step-by-step explanation:

Which equation can be used to solve for c?
А
b
С
С
5 in.
35°
B

Answers

Answer:b

Step-by-step explanation:

Sally used 8 cubes to make this square frame that has 3 cubes on each side. If she uses 20 cubes to make a square frame, how many cubes will be on each side of the frame? Think of using objects to help you solve this problem.

Answers

Answer:

5

Step-by-step explanation:

The number of cubes that should be on each side of the frame should be considered as the 5.

Calculation of the number of cube:

Since Sally used 8 cubes to make this square frame that has 3 cubes on each side.

So here the no of the cube be like

= 8  - 3

= 5

hence, The number of cubes that should be on each side of the frame should be considered as the 5.

Learn more about cube here: https://brainly.com/question/3510925

A lottery win is inversely proportional to the number of tickets matching the correct numbers. If 20 tickets have the correct numbers, the winners each receive £1400. One week, each person receives £3500. How many tickets matched the correct numbers?

Answers

Answer: 8

Step-by-step explanation:

Given

lottery win is inversely proportional to the number of tickets matching the correct number.

Suppose lottery amount is given by A and no. of tickets by n then

[tex]\Rightarrow A\propto \frac{1}{n}\\\Rightarrow A\cdot n=\text{constant}[/tex]

Initially A=£1400, n=20

then A=£3500, n=?

Product in both the case is same

[tex]\therefore \quad 1400\times 20=3500\timesn\\\Rightarrow n=8[/tex]

There are 8 tickets that matched the correct numbers

A scale drawing of a rectangular park is 5 inches wide and 7 inches ong. The actal prake is 280 yards long. What is the area of the actual park, in square yards?

Answers

Given:

A scale drawing of a rectangular park is 5 inches wide and 7 inches long.

The actual park is 280 yards long.

To find:

The area of the actual park.

Solution:

Length of drawing = 7 inches

Length of actual park = 280 yards

The scale factor is

7 inches : 280 yards

1 inches : 40 yards

The width of the drawing is 5 inches. So, the width of actual part is

[tex]40\times 5=200 yards[/tex]

The area of the actual park is

[tex]Area=Length \times width[/tex]

[tex]Area=280\times 200[/tex]

[tex]Area=56000[/tex]

Therefore, the area of the actual park is 56000 sq. yards.

I lost all my points and answers so heres 25 for whoever wants it ​

Answers

Hello thank you thanks

Help pls! Will mark brainlest if its correct

Answers

Answer:

B

Step-by-step explanation:

Helpp! Will give brainliest​

Answers

Answer:

all of them are correct

Step-by-step explanation:

How much will 20 pencils cost if it costs
$3.50 for 100 pencils?

Answers

Answer:

$0.70

Step-by-step explanation:

Divide to find the unit rate.

3.5 / 100 = 0.035

Multiply.

0.035 * 20 = 0.7

Best of Luck!

Answer:

20 pencils will cost $0.70.

Step-by-step explanation:

3.5/100=x/20

cross product

100*x=3.5*20

100x=70

x=70/100

x=7/10

Can someone help me find this answer: tan12=22/x Please explain the steps

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable.

x=47.04630109.

Step-by-step explanation:

PLEASE HURRY!!!!!!!
What is the scale factor of this dilation?
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

3

Step-by-step explanation:

The scale factor of the dilation is 3

The mean age of 5 people in a room is 26 years.
A person enters the room.
The mean age is now 33.
What is the age of the person who entered the room?​

Answers

The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

So According to the question, the Mean of  5 people in a room =26

When a person enters the room mean age becomes = 33

The sum of their age is = 5*6 =130

when other persons enter the room means the total person becomes =6

and the sum of their age after another person enters the room= [tex]x+130[/tex]

where x is the age of the other person entering the room.

so, mean = 33= (130+x)/6

 then, 130+x=6*33

   And,130+x=198

so,x=198-130  =68

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Subtract (-x-3) - (5x + 2).​

Answers

Answer:

-1.2 or -5/6

Step-by-step explanation:

thats all I can say pls

If a person's speed doubles and all else remains the same, what will be the person's angular momentum

Answers

Answer:

The person's angular momentum will be double

Step-by-step explanation:

Let

Speed of person=v

Mass of person=m

Radius=r

Speed of person=2v

We have to find the person's angular momentum when the speed of person is double and all else remains same.

We know that

Angular moment ,L=mvr

Using the formula

Angular momentum of person when speed 2v

L'=m(2v)r

[tex]\frac{L'}{L}=\frac{m(2v)r}{mvr}=2[/tex]

[tex]L'=2L[/tex]

Hence, the angular moment of person will be double when the speed of person is double.

I AM ASKING AGAIN FOR HELP?!?!?!??! PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

I do not know but have a good weekend

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. angle 4 and 6. 2. Alternate exterior angles

angle 3 and 5. 3. Consecutive interior angles

5. Angle 1 and 5

Angle 2 and 6

6. Angle 1 and 7

Angle 8 and 2

c) One third of a number is 27. What is that number?
Explain how you found your answer.

I GOT 81 BUT IM NOT SURE IF ITS RIGHT?

Answers

81


explain : 27 x 3 = 81 , one third is 27 .

I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

Answer:

n=12

m=5

Step-by-step explanation:

The sides on the left and right are equal, and the sides on the top and bottom are equal.

Left and right: n=12

Top and bottom: m+1=6; subtract 1 on both sides to get m=5

Please help with this one

Answers

The answer will be A-1188 in²

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45-45-90...find the value of x?

Answers

Answer:

        x = 19

Step-by-step explanation:

If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2

x√2 = 19√2   ⇔  x = 19

30-60-90 triangle.. find the value of x?

Answers

Answer looks probably like a

The graph of f(x) = x2 was transformed to create a graph g(x) =f(x)−6.

Which statement about the graphs is true?

A) The vertex of the graph of g is 6 units above the vertex of the graph of f.

B) The vertex of the graph of g is 6 units to the right of the vertex of the graph of f.

C) The vertex of the graph of g is 6 units to the left of the vertex of the graph of f.

D) The vertex of the graph of g is 6 units below the vertex of the graph of f.

Answers

Answer:

A

Step-by-step explanation:

Option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

What is intercept?

The equation y = mx + c is the general equation of any straight line  where m is the slope of the line and c is the y-intercept.

According to the question we have

[tex]f(x) = x^{2} \\g(x) = f(x)-6[/tex]

From the above function it is clear that the equation for the graph of g(x) will be

[tex]g(x) = x^{2} -6[/tex]

Since, the y intercept of function f(x) is zero, therefore the function g(x), 6 units below the intercept of the function f(x).

Hence, option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

Learn more about intercept here:

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2.8 divide 6 estimate the quotient

Answers

Answer:

0.4666666666666667

Step-by-step explanation:

How much Work is used when 25N of force is done over 100m?​

Answers

Step-by-step explanation:

we know that

Work =f*d

=25*100

=2500Joule

therefore work done is 2500Joule

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