A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?

Answers

Answer 1

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

A Triangle With Vertices At A (20, -30), B (10, -15) And C (5, -20) Has Been Dialted With A Center Of

Related Questions


An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sun is divisible by 3.
Round your answers to two decimal places.
I need the answers fast

Answers

Answer:

A=11.1%

B=33.33%

Step-by-step explanation:

A.First Die        Second die

6                          5

5                          6

6                          4

4                          6

4/36=1/9=.11=11.1 %

12/36=0.3333=33.333 percent

Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard

Answers

1st, find how many how many feet of string is needed. 2nd, use that amount of feet and find the yard equivalent.

help please!!!!thankss

Answers

The last one should be correct
Sorry if wrong

Answer:

translation, the reflection

Step-by-step explanation:

because from 1 to 2 it is a translation the 2 to 3 is a reflection because you can draw a line through it

12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25 feet deep on both sides of the street along a 3-mile section of a parade route. (Hint: 1 mile = 5,280 ft)

Answers

Answer:

380,160 people

Step-by-step explanation:

The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.

What number represents the location of the diving board?

Answers

Answer:

10

Step-by-step explanation:

diving board = distance of bottom of pool to surface = 10

diving board 10

| 9

| 6

| 3

surface 0

| -3

| -6

| -9

bottom -10

The number 10 represent the location of the diving board from the surface of the water in the pool.

Given that, the bottom of a swimming pool is 10 feet below the surface of the water in the pool.

What is an Integer?

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.

That is , 10 feet

The diving board is 10 feet above the surface of water

The diving board is 20 feet above the bottom of a swimming pool

Therefore, the number 10 represent the location of the diving board from the surface of the water in the pool.

To learn more about an integers visit:

https://brainly.com/question/15276410.

#SPJ2

Y=1/3x+14 in point slope form

Answers

Answer:

ok so.. whats the question?

Step-by-step explanation:

Answer:

y = 1/3x + 14

Step-by-step explanation:

The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.

what is 4(1 + 9x) simplified?

Answers

Answer:

4 + 36x is your expression

Step-by-step explanation:

4 x 1 = 4

4 x 9x = 36x

so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.

Answer:

4 + 36x

Step-by-step explanation:

distribute

4 x 1 = 4

4 x 9x = 36x

put answer together to make new equation

4 + 36x

Write the following equation in standard form and show your work : x^2+y^2-22y+96=0

Answers

Answer:

[tex]x^2 + (y-11)^2 = 5[/tex]

Step-by-step explanation:

Completing the square gives us that

[tex]x^2+y^2-22y+96=0\\x^2 + (y-11)^2 - 11^2 + 96 = 0\\x^2 + (y-11)^2 = 121 - 96\\x^2 + (y-11)^2 = 25\\x^2 + (y-11)^2 = 5[/tex]

Which is the standard form of a circle.

Match the term to its definition
Brainlessly and 25 points
Definitions on picture
•wages
•stock
•gross domestic product
•credit
•standard of living
•stock
•market crash
•interest
•great depression
•consumer
•surplus

Answers

Chicken nsnsnsndbd bhzhx

Evaluate the following if a=-3, b=8, and c=-4. 202 + 5b​

Answers

Answer:

242

Step-by-step explanation:

202+ 40= 242

if my answer helps please mark as brainliest.

242
202+5(8)
202+40
242

Can someone help me, please????

Answers

Answer: -12

Step-by-step explanation:

if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit

Answer:

-12 degrees

Step-by-step explanation:

Fahrenheit and Celsius

10 degree fahrenheit

What is the celsius?

____________________

Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.

I don't understand exponents well best answer gets brainly ​

Answers

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

el 2% que fraccion representa​

Answers

2/100 or 1/50 :p la respuesta

what is the answer to -1x3+4

Answers

Answer:

Your answer is 1, look below please

Step-by-step explanation:

ASSUMING that the x is a variable your equation is -1x=3+4 which would be...

-1x=7, then divide by -1 which gives us -7

I used a calculator and it said it the answer is 1


You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain

Answers

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:


Which fraction is in simplest form?
17
51

19
30

21
24

21
35

Answers

19/30 is already in simplest formed
I think it’s 19/30 !!!!!!

Given that ABCD is a rhombus, what is the value of x?
B
с
(Ax-25)
O A. 29
O B. 23
O C. 46
OD. 38
O E. 45
F. Cannot be determined

Answers

Answer:

D

Step-by-step explanation:

i did the test

Answer:

I think it is B. 23

Step-by-step explanation:

A liter of water contains about 3.35 * 10 ^ 25 molecules. A certain river discharges about 2.4 * 10 ^ 7 of water every second. About how many molecules does the river discharge every minute?

Answers

Answer: 3.6791719e+46

Step-by-step explanation :

3.35 * 10 = 33.5 ^25

molecules per litre = 33.5 ^ 25

2.4 * 10 = 24 ^ 7 = 4,586,471,424  ( we'll assume this is ml as the question doesn't specify ) so thats 4,586,471,424ml discharged every second which is 4,586,471 litres per second. 4,586,471 * 60 seconds in a minute = 275,188,260 litres discharged every minute.

molecules per litre is 33.5 ^ 25 and litres discharged per minute is 275,188,260  

so the answer would be : 275,188,260  *  33.5 ^ 25 = 3.6791719e+46 (in other words a big number)

Check yourself ^

which statement is correct,
A.-1.5 <-2
B -2.5 < -3
C -3.5<-2.5

Answers

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation: bc the smaller the negative the bigger the value

what is |8|
-16
–8
8
16

Answers

Download Photomath! It helps a lot!!

Answer:

8

Step-by-step explanation:

Anything in an absolute value is positive.

Pls help I’ll brainlest ASAP pls

Answers

Answer:

128

explanation:

cross multiply whereby 8*-112

it gives u -896 which u divide by -7 to get value of m as 128

hope it helps

I’m stuck please help me

Answers

Answer:

7

Step-by-step explanation:

→ First find the hypotenuse of length 2 and 3

√2² + 3² = √13

→ Use it to find the length of d

√6² + (√13)² = 7

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job

Answers

Answer:

0.7667 = 76.67% probability that at least 2 graduates have a summer job

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.

This means that [tex]p = 0.4[/tex]

6 graduates.

This means that [tex]n = 6[/tex]

What is the probability that at least 2 graduates have a summer job

This is:

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

In which

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

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

[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]

[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]

0.7667 = 76.67% probability that at least 2 graduates have a summer job

9 subtracted from the product of 2 and b is less than or equal to -21*
b = 3
b = -6
b<=5

Answers

Answer:

I'm not 100% sure what you asking but if I read it it is more then -21 because it equals 8

0.5 km = M

Pls help me!!

Answers

Answer:

500

Step-by-step explanation:

Im not sure what you are asking but if it’s asking how many meters then here is your answer:

0.5 km = 500 meters

1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these​

Answers

Answer:

B. 4:1

Step-by-step explanation:

Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.

help me in this too pls​

Answers

Answer:

Area Of Rectangle : l×b ( length × breadth)

Step-by-step explanation:

Hope it helps you

Answer:

to find the area u need to multiply the base and the height

and I'll just use the numbers which you have as an example

20 x 10

200cm^2

A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching it from its natural length to 6 inches beyond its natural length

Answers

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

[tex]k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft[/tex]

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

[tex]W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft[/tex]

Therefore, the work done in stretching the spring is 8 lb.ft

PLEASE HELP ME ASAP I WILL GIVE YOU BRAINLEST. PLEASE PLEASE I BEG OF YOU

Answers

Answer:

Hiii, I really did try my best, hopefully this helps :)

Step-by-step explanation:

1st: 37.5 units

2nd: 34.5 units

3rd: 24 + 9.125 π units

4th: 42 units

5th: 49.5 units

Can you please help me thanks

Answers

Answer:

34.1x

Step-by-step explanation:

Each hour adds 34.1 more earnings. 4 x 34.1 = 136.4. 16 x 34.1 = 545.6 and so on and so forth.

Answer:

The cost per hour is 34.1

Step-by-step explanation:

136.40/4=34.1

545.60/16=34.1

716.10/21=34.1

the proportional is 34.1 in the earnings and time in an hour.

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