If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation?
A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)

Answers

Answer 1

A

Step-by-step explanation:

the origin, (0, 0)

For center of dilation Q, the image of a point A after dilation by a factor of k is ...   A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ...   (A' -kA)/(k-1) = Q

Here, that is ...   Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)  

Q = (0, 0) 


Related Questions

Help help math math math please

Answers

Answer:

-2) -14

0) -8

2) -2

4) 4

Step-by-step explanation:

Plug in each input for x, and solve for y

Answer: 2) -140) -82) -24) 4

Step-by-step explanation:

I need help with this plz

Answers

Answer:Mmm

Step-by-step explanation:

I am doing the work I will thell you the answer

Need help asap please !!!

Answers

The answer would be M= 1/4

For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

Answers

Answer:

Price of book is [tex]9\$[/tex]

Step-by-step explanation:

Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]

We have

[tex]2x=3y[/tex]

We also have

[tex]4x+4y=60[/tex]

[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]

Price of book is [tex]9\$[/tex]

Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for
Jenny's purchase? Identify the true statement that corresponds to this
situation.

A. 2 pounds of carrots per $1
B. $5 per pound

Answers

Answer:

A. 2 pounds of carrots per $1

Step-by-step explanation:

[tex]\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A furniture maker used 2/3 of a can of paint to paint some chairs. He used 1/6 of a can of paint for each chair. How many chairs did he paint?

Answers

Answer:

4 chairs

Step-by-step explanation:

Start with 2/3 can of paint: (2/3)

He used 1/6 of the can to paint each chair: (divided by 1/6)

Now use the 'keep, change, flip' method to get the expression: (2/3x6/1)

Then simplify your answer: (12/3)

Lastly simplify again: (4)

Thus, he painted 4 chairs.

A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions are multiple choice and how
many of the test questions are True/ False?.
# of true/false questions =
# of multiple choice questions
PLEASE HELP ME I WILL GIVE BRAINLY

Answers

Answer:

12 multiple choice and 8 True/False

Step-by-step explanation:

To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:

x + y = 20

2x + 7y = 100

We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.

-2(x + y = 20)

-2x - 2y = -40

Now add them together

5y = 60

Solve for y.

y = 12

This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.

Hope this helps and have a great day! :D

Answer:

8 True/False and 12 Multiple Choice

Step-by-step explanation:

x+y=20  ...1

2x+7y=100   ...2

Now you can multiply 2 on 1

2x+2y=40

2x+7y=100

Subtract:

-5y=-60

Divide -5 on both sides:

y=12

Substitute y with 12

x+12=20

Subtract 12 on both sides:

x=8

So there are 8 True/False and 12 Multiple Choice

Hope this Helps!

Answer helped by: azailiaskoglund

1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
2. How long, in minutes, does it take Bianca to walk 1 mile?

Answers

Answer:

1. 2.5 miles/hour

2. 24 minutes

Step-by-step explanation:

1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour

2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes

A line with a slope of -8/3
passes through the point (0, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form

Answers

Answer:

y = - [tex]\frac{8}{3}[/tex] x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10

y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line

What is the value of a in this linear system?
a + b + c = 62
a - b = 12
2a + b + c = 92
O A.
14
OB.
30
OC.
18
o
c
D.
26

Answers

Answer:

Step-by-step explanation:

C

Thomas finished the 200-meter race in 25.7 seconds while Mikah finished in 28.1 seconds. How much faster did Thomas run the race than Mikah?

Answers

Answer:

2.4 seconds

Step-by-step explanation:

We can use subtraction to solve this problem.

28.1 - 25.7 = 2.4 seconds

[] Fun Fact: For men, the world record in the 200-meter dash is by Usain Bolt with a time of 19.30 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Please hurry!! This assignment is almost due!!

Answers

Answer: x = 17

Step-by-step explanation:

Hi there!

First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180

Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)

Hope this helps!

Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.

what is the domain and range of : {(2,4) (3'6) (4,8) (5,10) (6,12)}​

Answers

Answer:

2,3,4,5,6 is the domain

4,6,8,10,12 is the range

Step-by-step explanation:

Answer:

The domain is {2,3,4,5,6} and the range is {4,6,8,10,12}.

Step-by-step explanation:

A shipment contains 25 defective items and 100 nondefective items. Two items are randomly chosen in succession without replacement. Find the probability that both items are defective. 25) ______ A) B) C) D) E) none of these

Answers

Answer:

non of these because you are a good friend and look at the house to you nanu you nanu to get the house ☺️ to get well and

question in file .
give me brainlg anserf​

Answers

Explanation

Formula to be used,

1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 as

Solution,

Putting all the values, we get

v=u + at

⇒0 = u + (-0.5) × 20

⇒-u=-0.5 × 20

⇒u = 10 m/s

Hence, the initial velòcity of the car is 10

city of the car is 10m/s.

Now, the distance covered,

v²-u² = = 2as

⇒ (0)²-(10)² = 2 × (-0.5) × s

⇒-100 = - 1s

⇒ s = 100 m

Hence, the distance covered is 100 m.

A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?

Answers

Answer:

The original price of the sweatshirt was $127.50

Step-by-step explanation:

$40.80 / .32(32%) = $127.50

What are the measures of the other three angles formed by the intersection

Answers

Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

Can someone help me answer please

Answers

Answer:

i dont know sry

Step-by-step explanation:

PLS HELP PLEASSSS ILL MARK U AS BRAIN KING THINGY WTV U CALL IT

Answers

Answer:  infinitley many solutions

Step-by-step explanation:

The length of a photograph is 6 inches less than little twice the width. The photograph is mounted in a frame that is 3 inches wide on all sides. If the area of the framed picture is 270 square inches, find the dimensions of the unframed photograph.

Answers

Answer:

syuare root 270 to get 16.4 then subtract 6 to get 10.4

I will mark brainly, help me with this question please.​

Answers

Step-by-step explanation:

Since [tex]x[/tex] varies directly as [tex]\sqrt{y}[/tex] we can write the relation as

[tex]x = k\sqrt{y}[/tex]

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

[tex]5 = k\sqrt{13} = k(13)[/tex]

[tex]\Rightarrow k = \dfrac{5}{13}[/tex]

b) The equation relation x and y can be written as

[tex]x = \dfrac{5}{13}\sqrt{y}[/tex]

c) When y = 9,

[tex]x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}[/tex]

wren is going to add an ordered pair to the table that will cause the table to no longer be a function. Which could be the ordered pair?
X Y
-3 7
-1 5
0 3
2 6
_ _

Answers

Answer:

(0,-2)

Step-by-step explanation:

x^2+2x+8=0, Find x?aaaaaaa

Answers

X= -1 + i square root o7 or -1 - i square root 7.

Please help, very urgent!!!! 50 points!!

Answers

Answer:

f = 14

Step-by-step explanation:

it is because skephalo and hot and poggers science and dnf

PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.

Answers

Answer:

If I have to guess, I’ll say

Consecutive angles are congruent.

One pair of parallel sides.

Consecutive angles are supplementary.

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

Consecutive angles are supplementary.

Both pairs of opposite of angles are congruent.

Both pairs of opposite sides are congruent.

Step-by-step explanation:

I took the quiz and this was the correct answer.

14. What's the least common denominator of 3/4, 4/5, and 2/3?
A. 60
B. 20
C. 15
D. 12

Answers

im pretty sure it's 60

The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?​

Answers

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

Please help!! I have less than an hour to turn this in!

Answers

Answer:

8 × 10¹

Step-by-step explanation:

don't panic. just breathe deeply and then think logically.

0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?

the 3rd position after the decimal point is for 1/1000.

and that means 10^-3. in the same way as 1000 is 10³.

so, it is 2 × 10^-3.

the other rounded number is then 4 × 10⁴.

now, we are multiplying both numbers

2×10^-3 × 4×10⁴

what do we do ?

we combine the same types of factors, like the basic constants : 2×4 = 8

and 10^-3 × 10⁴.

what hairball when we multiply the same base number with exponents ? we add the exponents :

10^-3 × 10⁴ = 10¹ = 10

because -3 + 4 = 1

and so, the result is

8 × 10¹

What is 1,000 x 10,090g

Answers

Answer:

10,090,000 grams

Step-by-step explanation:

Just add three zeros to 10090g.

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