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

How do I solve this equation and check the solutions?

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

The steps to do this :

[tex]x - \sqrt{2x + 5} = 5[/tex]

[tex]x - 5 = \sqrt{2x + 5} [/tex]

[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]

[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]

[tex] {x}^{2} - 12x + 20 = 0[/tex]

[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]

[tex]x(x - 2) - 10(x - 2) = 0[/tex]

[tex](x - 2)(x - 10) = 0[/tex]

[tex]x = 2 \: (rejected)[/tex]

[tex]x = 10[/tex]

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Answers

Answer:

1) Yes because the slope, 10x, is constant

2) Yes for every 1 hour of baby sitting $10 dollars is earned.

Consider Brainliest!

PLEASE HELPPPPP♥️♥️♥️♥️♥️♥️​

Answers

Answer
C, B I’m pretty sure
Explanation

How do I solve this equation and check all the solutions?

Answers

Answer:

10

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

The answer I got was: x = 0,2

Hope this helps! ;)

893.76 divided by 0.21

Answers

893.76/0.21=4256
Hope this helps and have a nice day/night!!!

Answer:

4.265

Step-by-step explanation:

893,76/  0,21=  4.265

...... help lots of points available (plz answer it)

Answers

The correct option is answer C :)

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

#SPJ3

If -3c/4=24, what is the value of c/2?

Answers

Answer: look it up lol

Step-by-step explanation:

PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT!

Answers

Answer:

k=42

Step-by-step explanation:

Answer:

k = 42

Step-by-step explanation:

That's a right angle, indicated by the square. A right angle is 90 degrees.

To find [tex](k+1)[/tex], we need to subtract 47 from 90. 90 - 47 = 43.

To find k, we subtract 1 on both sides. k = 42.

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

slope = 2; y-intercept = -1
HELP PLS what's the answer

Answers

Answer:

The question is incomplete but I assume you want to find the equation of a straight line with those details. Well the equation of a straight line is y=mx+c where m is the slope and c is the y-intercept

Therefore y=2x-1 is the equation of the line

Answer:

y=2x-1

Step-by-step explanation:

BRAINLIEST PLSSS

Find the absolute value of the complex number. i-5

Answers

Answer:

0

Step-by-step explanation:

It’s 0 hope that helps

The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?

A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)

Answers

Answer:

A.

Step-by-step explanation:

It just is trust

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43

Answers

Answer:

101.76

Step-by-step explanation:

Answer:

(12.9 - 3.1) i'm in middle school so if i can do it you can

Step-by-step explanation:

I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?

recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers

Answers

Answer:

C

Step-by-step explanation:

-1/2(12x – 4) = 38
what does x equal

Answers

Answer:

x=−6

Step-by-step explanation:

Does anybody know the answer to this question please I need help?!

Answers

Answer:

Juan earns 10 dollars a week at his job

Step-by-step explanation:

Explain the difference between the slopes of x=1 and y=1, I need answers ASAP!!!!!

Answers

Answer:

Step-by-step explanation:

x=1 is a vertical line, that has an undefined slope, while y=1 is a horizontal line that always has a zero slope

An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.

In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU

Answers

Answer:

I need more information.... ??

Step-by-step explanation:

If YU = 9 then what is Zy and ZU

Write a linear equation to represent this

Answers

I think is Y=5x+20
Hope you get it right!
:D

Help!

Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?

Answers

Answer: 23.74625 miles

Marco buys a certain brand of shampoo for $7.25 plus 7.5% tax. How much will Marco pay in total for the shampoo? (Round your answer to the nearest hundredth)

Answers

Answer:

$6.35

Step-by-step explanation:

Answer:

$7.79

Step-by-step explanation:

7.25 + 7.25(0.075)

7.25 + ~0.54

7.79

Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)


30 inches
36 inches
50 inches
75 inches

Answers

Answer:

30 inches

Step-by-step explanation:

using a^2+b^2=c^2

72^2=5184

30^2=900

5184+900=6084

√6084=78

Answer:

30

Step-by-step explanation:

QUICK HELP ITS DUE IN 10 EEEEEEEEEEE

Answers

Answer:

the answer is b

Step-by-step explanation:

pls give me brainliest plsss i gave you answer

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point in California is in Death Valley at 282 feet below sea level. What is the difference in elevations?

Answers

14,776 is the answer

Write a polynomial function that has the given zeros.
1/2, 1 , 5

Answers

Answer:

1

Step-by-step explanation:

x²-1²...it can be written as (x+1),(x-1)...surely you will get -1 and 1 as your zero

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