ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2), B = (4, 3), and C = (6, 3), what is the length of ?

Answers

Answer 1

Answer:

Fourth option is correct. The length of B'C' is 1 unit.

Step-by-step explanation:

The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).

Distance formula:

The length of BC is 2 units.

It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.

It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.

The scale factor is 0.5.

Therefore the length of B'C' is 1 unit and fourth option is correct

Answer 2

Answer:

D= 1 unit

Step-by-step explanation:


Related Questions

If x = 2 work out the value of 4x 2

Answers

4(2)x2= 8x2=16
16 is the answer!

Answer:

16

Step-by-step explanation:

First plug in 2 as the "x" in 4x

so 4 times (2) times (2)

and if you mutiple 4 x 2 you get 8

then 8 times 2 is 16

What is the measure of \large \angle C?

Answers

Answer:
80

Explanation
Add your other angles and then subtract it from 180 <3

plz help
will give brallest

Answers

The answer is the 3 option. It’s the 3rd option because I ain’t never seen two pretty best friends, one of them always gotta be ugly

Answer:

your answer is the very first one

Step-by-step explanation:

IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK?
ILL MARK U BRAINIEST

Answers

Answer:

12

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

Volume of a cylinder = pir^2h

Plug the given values into the equation:
pi4^2*3

Evaluate
pi16*3

The volume of the cylinder in terms of pi is 48 pi units cubed.

For an exact answer, use 3.14 for pi and evaluate:
3.14*4^2*3
3.14*16*3

The volume of the cylinder is 150.72 units cubed.

Solve the equation y = ax − b for the variable x.

Answers

Answer:

x = y/a + b/a

? is that what you meant

Step-by-step explanation:

Answer:

the answer is d) x = y/a+ b/a

Step-by-step explanation:

brainliest pleasee

can someone please tell me how to solve this ​

Answers

Answer:

21.33 units (rounded)

Step-by-step explanation:

The height, x, can be determined through the Pythagorean Theorem:

a^2+b^2=c^2 (where b will be our height)

(22/2)^2+b^2=24^2

121+b^2=576

b^2=455

b=21.33072901

So the height is about 21.33 units

Can someone please help me with this question?!

Answers

Answer:

-5

Step-by-step explanation:

The slope is given by

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

   = ( 0-10)/(2-0)

   = -10/2

  = -5

what is the value of ? pls help

Answers

The value of ? is 85 degrees.

Hugo took a math test with 40 questions. If he got 75% of the answers correct, how many did he answer incorrectly?

Answers

Answer:\

10

Step-by-step explanation:

25 % correct ie, 40 * 25/100

=10

plz mark as brainliest!!

5. The largest mosaic in the world is on the walls of the central library of the

Universidad Nacional Autonoma de Mexico in Mexico City. The mosaic depicts

scenes from the nation's history and covers an area of 4000 m2. If the entire

mosaic were on one square wall, what would the dimensions be? Estimate your

answer to the nearest whole number and then use your calculator to get the

length to the nearest HUNDRETH.

Answers

Answer:

63.25m

Step-by-step explanation:

The area of the square wall = L² where;

L is the length of the wall.

Given

Area of the mosaic = 4000m²

Substitute into the formula and get L

4000 = L²

Square root both sides

√4000 = √L²

√4000 = L

Rearrange

L = √4000

L = 63.25m (to the nearest hundredth)

Hence the length to the nearest hundredth is 63.25m

About this question, look at the photo

Answers

Answer:

27/20 or 1.35

Step-by-step explanation:

plz mark brainliest

33
34
11) If the sales tax rate in NC is 7%, how much tax
would I pay on a $23 pair of boots?

Answers

Answer:

$1.61

Step-by-step explanation:

Tax paid = 7% of $23

= 0.07*23

= $1.61

23 x 7/100 = 1.61 tax payed

How do I work out the size of angle x

Answers

All 3 of your angles should add up to 180. That means you need to add 101 + 38 + x = 180. X = 41

I listen to r & B music but I wanna try another genre. Any music suggestions?

Answers

Answer:

rap

Step-by-step explanation:

eminem brainliest pls

Answer:

Maybe try pop or hip-hop? Check out artists similar to Khali Uchis, she has contemporary R&B, pop and hip-hop.

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Fill in the missing step in the proof.

Answers

Answer:

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

[tex]\frac{ad+cb}{bd}[/tex]       ∵ b≠0, d≠0, so bd≠0

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

[tex]\frac{a}{b}+\frac{c}{d}[/tex]

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

          [tex]=\frac{ad+cb}{bd}[/tex]

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

[tex]\frac{ad+cb}{bd}[/tex]       ∵ b≠0, d≠0, so bd≠0

5 students share 2 candy bars what fraction of a candy bar does each student get?

Answers

Answer:

2/5

Step-by-step explanation:

Take the number of candy bars and divide by the number of students

2/5

Each will get 2/5 of a candy bar

Answer:

2/5

Step-by-step explanation:

whats this answer i need it fast uwu

Answers

Find slope (y2-y1)/(x2-x1)
Pick points: (1,10) , (2,8)
(8-10)/(2-1) = -2/1 = -2
Y = -2x + b
10 = -2 + b, b = 12
It would be the first response
12 = initial while -2 is rate of change

if you get paid semimonthly it means you get paid *

A. less money than someone getting paid weekly because there are more weeks in a
year

B. every other month or 6 times

C. less in February because its a short month

D. twice a month or 24 times per year​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Semi-monthly means every half month, you will get paid once. So each month you will get paid twice.

Answer:

y=mx+b

Step-by-step explanation:

X=-4y + 4
2x + 8y =8
How many solutions are there?

Answers

Answer:

One solution.

Step-by-step explanation:

a man earned and interest of 240 in 4 years at 20%per annum simple interest. calculate the principal​

Answers

Answer:

Step-by-step explanation:

P x 20/100 x 4=240

1/5 x 4p =240

   4/5p x5=240 x 5

        4p/4=1200/4

             p=300

       

We need I = prt.

240 = p(0.20)(4)

240/[(0.20)(4)] = p

Use your calculator to calculate the left side.

Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph
the line.

Answers

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

what the slope of(4,-13) (8,-8) ​

Answers

Answer:

5/4

Step-by-step explanation:

1. -13 - -8 = -5

2. 4-8 = -4

3. -5/-4 = 5/4

Slope: (y2-y1)/(x2-x1)
(-8+13)/(8-4) = 5/4
The slope is 5/4

(^2 - 9)(x^3 + 3)
Pls someone answer this for me;(

Answers

Answer:

x^5-27

Step-by-step explanation:

add the exponents

multiply the rest

I need help with THIS

Answers

Answer:

1) 10x

2)360-(5x+20)-10x-(7x-8) (I think?)

3) 7x-8

4) 5x+20

Step-by-step explanation:

Answer:

x=15.8degrees

Step-by-step explanation:

10x+5x+7x+20-8=360

22x+12=360

=22x=360- 12

22x=348

x=15.8 degrees

The value of (a+b)sq + (a-b)sq is

Answers

Answer:

2asq

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(a + b)sq + (a - b)sq

Step 2: Simplify

Distribute sq:                    asq + bsq + asq - bsqCombine like terms:         2asq

2. The envelope below has a mailing label. L(x) = 6x + 5 W(x) = 6x + 5 M(x) = x +4 NOx) = x + 2 MR. AL GEBRA 123 INFINITY WAY POLYNOMIAL, XY 11235 a. Let A(x) = L(x).W(X) - M(x)•N(x). Find A(x).​

Answers

Answer:

A(x) = 35x² + 54x + 17

Step-by-step explanation:

Relation in the polynomials has been defined as,

A(x) = L(x).W(x) - M(x).N(x)

L(x) = (6x + 5)

W(x) = (6x + 5)

M(x) = (x + 4)

N(x) = (x + 2)

By substituting the polynomials in the expression,

A(x) = (6x + 5)(6x + 5) - (x + 4)(x + 2)

      = (6x + 5)² - (x + 4)(x + 2)

      = (36x² + 60x + 25) - (x + 4)(x + 2) [Since, (a + b)² = a² + 2ab + b²]

      = (36x² + 60x + 25) - [x(x + 2) + 4(x + 2)]

      = (36x² + 60x + 25) - [x² + 2x + 4x + 8]

      = (36x² + 60x + 25) - [x² + 6x + 8]

      = (36x² - x²) + (60x - 6x) + (25 - 8)

      = 35x² + 54x + 17

A(x) = 35x² + 54x + 17


[tex]( \frac{3}{5} ) - 2[/tex]
simplify​

Answers

(3/5)-2= -7/5

-7/5= -1.4

Good luck !

What is the answer to this math problem; 12 5/6x-14x+ 1/6x

Answers

Answer: wyd are you mad at me

Answer: Who are

Step-by-step explanation:

Oaquin earns 2.00 for each magazine sale. Each time he sells a magizine he also gets a five daller-tip. How much money will he earn after selling x magazines

Answers

Answer:

$7 per magazine sale

Step-by-step explanation:

1 magazine = $2

$5 per magazine

$7 per magazine sold

Starting with number 0 on my calculator, I do a calculation in five steps. At each step, I either add 1 or multiply by 2. What is the smallest number that cannot be the final result?

Answers

Answer:

assuming only positive integers, the answer is 1

Step-by-step explanation:

the smallest number that you can get by adding is:

start with 0then add 1 = 1add another 1 = 2add another 1 = 3add another 1 = 4add another 1 = 5

but you can also multiply, and anything multiplied by 0 is 0:

start with 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0

The question does not say that we need to do any specific calculation, it only gives us 2 options and we can choose them as many times as we want.

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