Triangle ABCis rotated 90° clockwise around the origin to get
triangle A'B'C. Find the length of the line segment, AC
A. 2.23
OB. 4.47
O c. 2.44
D.2

Triangle ABCis Rotated 90 Clockwise Around The Origin To Gettriangle A'B'C. Find The Length Of The Line

Answers

Answer 1

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units


Related Questions

What is the slope-intercept equation of the line below?

Answers

Answer:

D. y = 2x -3

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find m, the slope, and b, the y-intercept.

We can find those two numbers from the graph.

We look in the graph and see that the y-intercept, b, is -3.

Now we have y = mx - 3.

Now we look for the slope. Start at (0, -2). We need to go vertically and horizontally to the next point that is easy to read. We see that point (1, -1) is on a grid intersection making it easy to read, so we will use that point.

Go up 2 units. That is a rise of positive 2. Now go right 1 unit. That is a run of positive 1.

slope = rise/run = 2/1 = 2

m = 2, so now we have

y = 2x - 3

Answer: D. y = 2x -3

Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94

Answers

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

The hypotenuse of a right angle triangle is 4 metres. If its other sides are equal find the length of each side.​

Answers

Answer:

[tex] \sqrt{8} [/tex]

or

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

Step-by-step explanation:

Since the legs are equal this is a 45-45-90 triangle.

The ratio of side length for a 45 45 90 triangle

[tex](1)(1)( \sqrt{2} )[/tex]

where 1 is the legs length and sqr root of 2 is the length of the hypotenuse.

Since we are trying to find the length of the legs side we can set up a proportion.

We know the hypotenuse is 4 so our proportion looks like

[tex] \frac{1}{x} = \frac{1}{x} = \frac{ \sqrt{2} }{4} [/tex]

Let see how far sqr root of 2 goes into 4.

[tex] \sqrt{2} \times x = 4[/tex]

[tex] \sqrt{2} \times x = \sqrt{16} [/tex]

[tex]x = \sqrt{8} [/tex]

so that means the answer for the legs length is

[tex] \sqrt{8} [/tex]

or

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

Answer:

Step-by-step explanation:

hello :

use  phtagor - rule:  let  x  the length of each side

x² +x² =4²

2x² =16

x² = 8  

x = √8

but :  8 = 4×2 = 2²×2

x = √(2²×2) = √2²× √2 =2√2      ......   √2² =2

x  =  2√2 metres.

At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 6 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer:

50? maybe

Step-by-step explanation:

since half of the percentage was made it would also fall in for the other 88%.

im not 100% sure tho

The total number of pizzas is given as 50.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The percent value of pizzas having extra cheese is given as 12%.

Suppose the pizzas made last week be x.

Then, as per the question the following equation can be written as,

⇒ 12% × x = 6

⇒ 12/100x = 6

⇒ x = 50

Hence, the number of pizzas that were made last week is given as 50.

To know more about percentage click on,

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A clothing store sells clothing for 2 times the wholesale plus $10. The store sells a pair of pants to customers for $48. How much did the store pay wholesalefor the pants?

Answers

Answer:

19$

Step-by-step explanation:

Let w represent the wholesale cost of the pants, or the price paid by the store

2w + 10 = 48 Subtract 10 from both sides.

2w = 38 Divide both sides by 2.

w = 19

Find the area of the shaded region.

Answers

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped


Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC

Answers

Answer:

ASA

Step-by-step explanation:

another possible pair is ∠A and ∠B

so it makes it ASA

The percent of change in the test scores was 12%. If the amount of change was 6 points, what was the original number of points?

Answers

Answer:

Step-by-step explanation:

100(a+6-a)/a=12

100(6)/a=12

600=12a

a=50

A rectangular lettuce patch, 560 square feet in area, is to be fenced off against rabbits. Find the least amount of fencing required if one side of the land is already protected by a barn. What are the dimensions?

Answers

Oh yeah sweetie no lol just called and him he told him to tell me that you

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 560 square feet, hence:

Area = length * width

560 = xy

y = 560/x

One side of the land is already protected by a barn, hence:

Perimeter (P) = x + x + y = 2x + y

P = 2x + y

P = 2x + 560/x

For least amount of fencing, dP/dx = 0, hence:

dP/dx = 2 - 560/x²

0 = 2 - 560/x²

560/x² = 2

2x² = 560

x = 16.7

y = 560/16.7 = 33.5 ft

The dimensions for the least amount of fencing is 16.7 ft by 33.5 ft

Find out more at: https://brainly.com/question/10415523

I NEED HELP PLZ HELP ME

Answers

Answer:

a) 50+10p

b) 30+12p

c) 10 pies

d) $150

Step-by-step explanation:

The answer to this question is B

Triangles are similar Find the value of x.
Please help Thank you in advanced ​

Answers

Answer:

x=36

Step-by-step explanation:

14/42=12/x

14x=12(42)

14x=504

x=36

3.) 4(m + 5) + 42, (m = -2)​

Answers

The answer would be 54 since m=-2

Step one: 4(-2+5)+42
Step two: (-8+20)+42=54

Answer:

54

Step-by-step explanation:

The variable m equals -2, so what you would do is plug it into the equation.

4(-2+5)+42

Next you would distribute the 4 into -2 & 5.

(-8+20) + 42

Add what's in the parenthesis.

12 + 42

Once you add that you will be left with your answer which is 54.

Hope this helped!

FIND THE AREA

WORK PLEASEEE and thank you

Answers

Answer:

Some ways on how to solve the questions:

Use formulas as given by your teacher.

Application of the Pythagorean Theorem would be useful for 5 and 6.

For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)

For 11 and 12 draw it out.

Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!

Answers

Answer:

did you ever figure out what the answer was it was because  working on this and don't know what to do

Step-by-step explanation:

Answer:

Rational Numbers: √400 | -5/250 | 5.012121212...

Irrational Numbers: √1000 | ^3√30 | 0.01562138411...

Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.

Answers

The right answer is c

*find the area thats all *

Answers

Answer:

The area is 155 square feet

Step-by-step explanation:

[tex]\frac{(13+18)} {2}[/tex] × 10

[tex]\frac{31}{2}[/tex] × 10

15.5×10=155

Hope this helps! :)

-6x-7-4x-2 How can I solve this?

Answers

Use the distributive property method

Use PEMDAS

Parentheses first

Exponents next

Multiplication then

Division in the same step

Addition then

Subtraction

The correct answer is 10x-9

1/3(9x + 12) = 15
a. x=5
b. x=3.67
c. x=2.8
d. x=4.5

Answers

Answer:

b

Step-by-step explanation:

x=11/3 or 3.6667 which is b

Answer:

Answer might be b

Step-by-step explanation:

9x+12

-----—---- = 15

3

9x+12 = 15 *3

9x +12 = 45

9x=45-12

9x =33

x = 33

---

9

x = 3.6

Not sure what I did is correct so pls check

2/3 of all your books are fiction. 1/6 of those are historical fiction.

What fraction of all your books are historical fiction?




1/9

1/18

1/3

1/2

Answers

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

1/9

Explanation: Very BIG Brain reasons!

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?​

Answers

Answer:

it took him 15 more minutes it would be 45 minutes in all

Step-by-step explanation:

I hope I helped!!

Please hellppp meeeee

Answers

Answer:

Slope = -1

Explanation:

Basically, your rise will be going 1 box up (an arrow upwards) and your run would be 1 box to the left (an arrow to the left). This will give you :-

1/-1 = -1

Hope this helps, thank you :) !!

Answer:

-4/3

Step-by-step explanation:

Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.

Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).

Answers

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?

Answers

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles  [tex]=76*2+38[/tex]

                                    [tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

To know more about Expressions click here

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which number line shows the inequality 4x-3>-7

Answers

x>-1

Step-by-step explanation:

I don't see any number lines but it would be one with an open circle going right from -1.

please help! give the answer in simplified form

Answers

5. 8:21
You do 21-13 to get 8
6. 26:1

Answer:

5a. 8:21

6a. 26:1

Huilan is 13 years younger than Thomas. The sum of their age is 41. What is Thomas's age?

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Let's set Huilan's age to h and Thomas's age to t.

Since Huilan is 13 years younger than Thomas, we can write:

h = t - 13

The sum of both their ages is 41, so let's combine the variables h and t together.

h + t = 41

We said that h = t - 13, so substitute this value into the equation.

(t - 13) + t = 41

Combine like terms.

2t - 13 = 41

Add 13 to both sides of the equation.

2t = 54

Divide both sides of the equation by 2.

t = 27

Thomas's age is 27 years old.

Thank you L for helping me with this question :)

on squared paper draw the triangle with vertices at (1,1) , (5,3) , (3,5). find the area of the triangle​

Answers

Answer:

lol

Step-by-step explanation:

j

The area of the triangle is 6.

How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?

Answers

Answer:

for step of kepp of yours alive

I believe 5.333 repeating.

24*3=72
So I believe all you do is divide 16 by 3. I may be wrong though. I’m sorry if this didn’t help.

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

Answer:

Step-by-step explanation:

5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.

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