Dilate the figure by a scale factor 1/2 of with the origin as the center of Gilation. What are the coordinates of the image ABC?

Dilate The Figure By A Scale Factor 1/2 Of With The Origin As The Center Of Gilation. What Are The Coordinates

Answers

Answer 1

Answer:

The coordinates of the image ABC will be:

A'(3, 3)B'(6, 6)C'(15, 12)

Step-by-step explanation:

Given the vertices of an original triangle

A(6, 6)B(12, 12)C(30, 24)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/2 centered at the origin

P(x, y) → P'(1/2x, 1/2y)

so

A(6, 6) → A'(1/2(6), 1/2(6))  → A'(3, 3)

B(12, 12) → B'(1/2(12), 1/2(12))  → B'(6, 6)

C(30, 24) → C'(1/2(30), 1/2(24))  → C'(15, 12)

Therefore, the coordinates of the image ABC will be:

A'(3, 3)B'(6, 6)C'(15, 12)

Related Questions

Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

a = 49°

Step-by-step explanation:

Answer: 49

Step-by-step explanation: 180-82-49= 49

Graph y = -1/4x + 6. Please help!!

Answers

Answer:

6  1/4

Step-by-step explanation:

PLEASE ANSWER!!!! SIMPLE MATH PROBLEM PLEASE

Answers

True

0=3(1)-3
0=3-3
0=0

0=-4(1)+4 or 0=-4-4
0=-4+4
0=0

7x/2+(-11)=3
x=?
Merry Christmas and or other holidays you celebrate!

Answers

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

10. If x = -2, y=-6 and z= 4, find the value of 4xy
Z​

Answers

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

Need help fast thank you

Answers

Answer:

I think B

Step-by-step explanation:

Uhh

There are 5 birch trees in each row at the nursery. There are 9 rows of birch trees. How many birch trees are in the nursery?​

Answers

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Given that: SinA = a/b, then cosA =​

Answers

Answer:

please see it my step solution work

Can 5,8,12 be a triangle

Answers

Answer: For an oblique or acute triangle sure but not a right triangle

Step-by-step explanation: I guess the sides would work on a regular non right triangle but Pythagorean theorom doesn't work here so the sides don't work for a right triangle

Answer:

Step-by-step explanation:

since the two smaller numbers don't add up to more than the bigger they can. but not a right triangle   :|

Pentagon PENTA has coordinates P(0,0), E (4,4), N (8,4), T ( 8,-4), and A (4,-4) and is dilated at the origin with a scale factor of 3/4. Select all that are coordinates of P’E’N’T’A?

Answers

Answer:

5

Step-by-step explanation:

because thats the answer

Answer:

P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)

Step-by-step explanation:

1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.

2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).

This is a complex fraction

12 - 4 + 6 / 4 - 2 + 3

How do you solve it?​

Answers

Answer:

I would start by adding/subracting the values in the numerator. by doing this you will get [tex]\frac{2}{4-2+3}[/tex] . Then do the same thing on the bottom to get [tex]\frac{2}{-1}[/tex] or -2

Answer:

I would start by adding/subracting the values in the numerator. by doing this you will get \frac{2}{4-2+3}

4−2+3

2

. Then do the same thing on the bottom to get \frac{2}{-1}

−1

2

or -2

Given f(x) = -x + 6 write an equation for f(x+3)

Answers

Answer:

Step-by-step explanation:

f(x)=-x+6

f(x+3)=-(x+3)+6=-x-3+6=-x+3

Answer:

f(x + 3) = -x + 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Function NotationCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -x + 6

f(x + 3) is x = x + 3

Step 2: Evaluate

Substitute in x:                    f(x + 3) = -(x + 3) + 6Distribute -1:                        f(x + 3) = -x - 3 + 6Combine like terms:           f(x + 3) = -x + 3

Kiran says that the

Blep

pattern is growing

linearly because as the step number goes up by 1, to

number of rows and the number of columns also

increase by 1. Do you agree? Explain your reasoning

Answers

Answer:

what?

Step-by-step explanation:

I’m soo confused??? What?

Dawn is y years old.
Rashid is three times as old as Dawn.
Hugo is seven years younger than Dawn.
The total of Dawn's age, Rashid's age and Hugo's age is T years.
a) Find a formula for T in terms of y.

Answers

Answer:

T= y+ 3y-7  

Step-by-step explanation

I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation

The formula for T in terms of y can be written as;

T= y+ 3y -7  

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Dawn is y years old.

So, Rashid is three times as old as Dawn means R = 3y

Hugo is seven years younger than Dawn means H = y - 7

The total of Dawn's age, Rashid's age and Hugo's age is T years.

We can also write T= 4y-7 as a simplified form of the equation

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

A store was having an end-of-summer sale with a discount of 25% on all swimsuits. Sarah saw a swimsuit she liked that had an original price of $60. What is the swimsuit's discounted price?

Answers

15 dollars because 25 percentage of 60 is 15

The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of graph would be the most appropriate for Brittney to use?

Answers

More likely a line graph

Answer:

line graph

Step-by-step explanation:

PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

E that's the answer if reflected it'd look like a mirror image

Answer:

The answer is E

Step-by-step explanation:

help plzzz

3x - 4 = -2x + 31

Answers

Answer:

x=-7

if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you

3x - 4 = -2x + 31
+4 +4
3x = -2x + 35
+2x +2x
5x = 35
x = 7

A farmer is selling apples from his orchard. He uses the equation c = 1.6p to calculate the total cost, c, for every pound of apples, p.

a.) How much does a customer pay for 1 pound of apples?

b.) How much would 8.5 pounds of apples cost?

c.) A customer spent $5.20. How many pounds of apples did they purchase? ​

Answers

A) a customer would pay $1.60 for 1 pound of apples. (To solve, plug in “1” for “p” and find c))

B) 8.5 pounds of apples would cost $13.60. (To solve, plug in 8.5 for p and find c)

C) If a customer pays $5.20, they will have purchased 3.25 pounds of apples. (To solve, plug in 5.2 for c and solve for p)

Have a great day!

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?

Answers

Answer:

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:


The points (-5, -22) and (4, r) lie on a line with slope 3. Find the missing coordinate r.

Answers

Step-by-step explanation:

here,

x1= -5. x2=4

y1= -22. y2=r

slope(m)=3

now we have,

m=(y2-y1)/(x2-x1)

or,3=(r-(-22))/(4-(-5))

or,3=(r+22)/(4+5)

or,3=(r+22)/9

or,27=r+22

or,r=27-22

or,r=5

WILL MARK BRAINLIEST Select the correct answer. Consider these functions: f(x) = 3x^3 + 8x-2 k(x) = 4x What is the value of k(f(x))?​

Answers

Answer:

D. 12x³ + 32x - 8

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Function NotationComposite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x³ + 8x - 2

k(x) = 4x

k(f(x)) is x = f(x)

Step 2: Find k(f(x))

Substitute:                     k(f(x)) = 4(3x³ + 8x - 2)Distribute 4:                   k(f(x)) = 12x³ + 32x - 8

will give brainliest
determine the value of sin(-240°)​

Answers

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Given

sin(- 240°)

To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then

ain(- 240°)

= sin(- 240 + 360)°

= sin120°

= sin( 180 - 120)°

= sin60°

= [tex]\frac{\sqrt{3} }{2}[/tex]

Reference angle would be 60 so the answer is sin 60 which is rad3 over 2

Use quadratic regression to find the equation for the parabola going through these three points (-7,134)(-3, 10)(5,50)

Please help me! Thanks

Answers

Answer:

Step-by-step explanation:

y = ax² + bx + c

a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)

a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)

a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)

(1) - (2)

40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)

(3) - (2)

16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)

(4) + (5)

12a = 36 ⇒ a = 3

2(3) + b = 5 ⇒ b = - 1

9(3) - 3( - 1) + c = 10 ⇒ c = - 20

y = 3x² - x - 20

y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]

2(3x-17) by using the distributive property

Answers

U multiple 2 by those two 3x and 17
2(3x-17) = 6x-34

You are going to an amusement part.it cost $15 to get in and $2 for each ride.

Answers

Say you rode 4 rides it would cost you a total of 23 dollars and that’s with the get in price

Translate (-7, 4) to the right 5 and up 7​

Answers

X=2 and Y=11 or this should be your point (2,11)

BRAINLIEST IF YOU ANSWER ALL!! HELP PLEASE

Answers

Answer:

11    n+7=18

31    n-9=22

7      5xm=35

50    m/5=10

15     18+s=33

17     40-s=23

3      27=9xs

6      18/s=3

5       m+m+12=22

2       m+14=18-m

Step-by-step explanation:

11: n+7=18

7: 5 x m =35

50: m/5 = 10

17: 40-s=23

3: 27= 9 x s

6: 18/s = 3

5: m+m+12 = 22

2: m+14 = 18-m

hope this helps!! :)

John has three bags, each containing x counters. He removes one country from each of his bags. Write an expression for the total number of counters in John's bag now

Answers

Answer: 3x - 3

Step-by-step explanation:

Each bag contained x counters and there are 3 bags.

He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;

= x - 1

As there are 3 bags, the expression is;

= 3 * ( x - 1)

= 3x - 3

Please I need help fast!!!

Answers

I’m almost positive it’s C
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