A triangle is formed by A(0,1), B(1,0), and C(2,4). If the triangle is rotated 90 degrees counterclockwise, which algebraic representation would be used? Select one:

0 (2, y) + (-1, - y)

O (, y) + (y, - 2)

0 (2,y) → ( - 1, y)

0 (2,y) → ( - y, z)​

A Triangle Is Formed By A(0,1), B(1,0), And C(2,4). If The Triangle Is Rotated 90 Degrees Counterclockwise,

Answers

Answer 1

Answer:

[tex](x,y) \to (-y,x)[/tex]

Step-by-step explanation:

Given

[tex]A = (0,1)[/tex]

[tex]B = (1,0)[/tex]

[tex]C = (2,4)[/tex]

90 degrees counterclockwise rotation

Required

The algebraic representation

Let the coordinate point be [tex](x,y)[/tex]

The rule of 90 degrees counterclockwise rotation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex]A = (0,1)[/tex] [tex]\to (-1,0)[/tex]

[tex]B = (1,0)[/tex] [tex]\to (0,1)[/tex]

[tex]C = (2,4)[/tex] [tex]\to (-4,2)[/tex]


Related Questions

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

Answers

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

y = 42°

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

y = 29.5°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

y = 9°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

y = 14°

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

y = 31°

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

x = 20°

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

y = 39°

Learn more about the angles formed between parallel lines here:

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50 POINTS!! Geometry!!

Answers

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

I will give brainliest to whoever answers this question:) help a dummy out

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?

A fraction bar labeled 1. Under the 1 are 4 boxes labeled one-fourth. Under the 4 boxes are 6 boxes labeled one-sixth. Under the 6 boxes are 12 boxes labeled one-twelfth.

Answers

Answer:

B) 9/10

Step-by-step explanation:

these are not the right answers but does anyone know the right answers? please help

Answers

Answer:

Use this to get the area of any circle A = π r²

Step-by-step explanation:

I guess the upper circle has a radio of 10.5 m, then you multiply it by itself and you get that 10.5^2=110.25, and to that you add "π", and the area would be this "110.25π m."

And the other one is 7^2π=49π

4(8x−1) = 19+32x
I need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some.

Answers

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

1. Cadence has a collection of 52 dolls that all have either blue-eyes or green-eyes.
Cadence has 16 more blue-eyed dolls than green-eyed dolls. How many green-eyed dolls
does Cadence have?

Answers

Answer:

Cadence has 18 more green eyed dolls

Step-by-step explanation:

1. 52-16=36

2. 36÷2=18

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Rhythm has an assortment of 52 dolls that all have either blue-eyes or green-eyes. Rhythm has 16 additional blue-looked-at dolls than green-peered dolls.

Let 'x' be the number of blue-eyes dolls and 'y' be the number of green-eyes dolls. Then the equations are given as,

x + y = 52           ...1

x = y + 16           ...2

From equations 1 and 2, then we have

y + 16 + y = 52

2y = 52 - 16

y = 36 / 2

y = 18

The value of x is given as,

x = 18 + 16

x = 34

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.

Answers

Answer:

628 possible passwords.

2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.

Answers

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, ...

Answers

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

In which quadrant on a graph will (-5, -7) be found? *
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

on a graph will (-5, -7) be found Quadrant III.

Need help fast what are values of x and y

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

What is the value of x?
A.38
B. 59
C. 83
D. 96

Answers

Answer:

Ans is 59

Step-by-step explanation:

46 +51+y=180 (sum of triangle)

y=180-46-51

y=83

now,

83+x+38=180

x=180-83-38

x=59

value of x is 59

I really need the help

y>_ -5
y- 1 < 3x

Answers

Answer:

C

Step-by-step explanation:

7 in.
15 in.
7 in.
8 in.
7 in.
14 in.
What is the total volume of the figure?

Answers

Answer:

7 x 7 x 8 = 392

15 x 7 x 7(14 - 7) = 735

735 + 392 = 1,127 in^3 is your answer.

Let's split the figure:

The Sugar Company will choose from two companies to transport its sugar to market. The first company charges $5995 to rent trucks plus an additional fee of $175.50 for each ton of sugar. The second company charges $6500 to rent trucks plus an additional fee of $150.25 for each ton of sugar.

Answers

I think we're missing part of your question. The expression for cost for the first company will be:

5995 + 175.5x, where x is the number of tons of sugar

and the expression for the cost for the second company is:

6500 + 150.25x

Please feel free to comment with the rest of the question and I'll happily help if I can.

what fraction is equivalent to 5/6 and has a numerator that is 2 less than its denominator

Answers

Answer:

Step-by-step explanation:

let the fraction be x denominator and x-2 be its numerator

according to question

5/6=x-2/x

do cross multiplication

6(x-2)=5x

6x-12=5x

6x-5x=12

x=12

therefore the fraction is

x-2/x

12-2/12

10/12

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

Can someone please help me answer these questions!?

Answers

Answer:Im not sure maybe 3

Step-by-step explanation:

.
One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?
5/4 hours
9/20 hours
20/9 hours
4/5 hours

Answers

Answer:

20/9

Step-by-step explanation:

5+4=9

4×5=20

I think. I'm a little rusty. hope this helps

Answer:

20/9

Step-by-step explanation:

u gotta pay more attention in class this was an easy question

How would one solve √45/3​

Answers

Answer:

[tex]\sqrt{45} /3[/tex] = [tex]\sqrt{5}[/tex] = 2.236

b/c [tex]\sqrt{45} /3[/tex] = [tex]\sqrt{45} /\sqrt{9}[/tex] = [tex]\sqrt{45/9}[/tex] = [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{45/3}[/tex] = [tex]\sqrt{15}[/tex] = 3.873

A firm tested the durability of four different types of tires by having 4 Cadillacs each randomly equipped with one of the types of tires. In similar fashion, 4 Fords were used, each randomly equipped with one of the tire types. In a like manner, 4 Volkswagens were each randomly outfitted with one of the four tire brands. Then each of the twelve cars ran over a test track until the tires showed signs of serious wear. At that point the average mileage of the three cars using one type of tire was compared to the average mileage of the three cars using the second type of tires, and so on. This design is:

Answers

Answer:

Randomized block design

Step-by-step explanation:

In the scenario described above, the subjects which are the different car types are grouped into fixed units of 4 called blocks with each unit then assigned randomly to a particular treatment condition, which are the 4 different types of tire. In the end, the mean mileage for each block is taken and compared to that of the other blocks. This type of research design improves the reliability of the result obtained as it also eliminates the occurrence of systematic error in the course of our experiment.

A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

AB=A, B, equals Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

[tex] \sin(20 \degree) = \frac{3}{AB} \\ AB = \frac{3}{ \sin(20 \degree) } \\ AB = \frac{3}{0.342} \\ AB = 8.77[/tex]

PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!

Answers

I don’t even know what is that

Answer:

z = -5/4

Step-by-step explanation:

divide both of the sides by -8

z = -10/8

then you would simplify 10/8 to 5/4

z equals -5/4

Deondre purchased a piece of investment property for $34,500. He anticipates each year it will increase in value by 3.2% over the previous year. Enter numbers in the boxes to write an exponential function that models the value in dollars of the property x years after Deandre's purchase.

f(x)=​

Answers

Answer:

f(x) = 34,500 × (1.032)^x

Step-by-step explanation:

Just completed the test and copied the answer directly from the review.

The size of a cell is typically found by capturing an image under a microscope then
using software to measure its diameter. Two cells are measured using this method:
Cell M: 7.65 x 10-3 centimeters
Cell N: 9.1 x 10-4 centimeters
What's the difference between the diameters of the two cells? Express your answer
using scientific notation.

Answers

Answer:

The difference is 6.74 * 10^-3 centimeters

Step-by-step explanation:

Firstly, we need to write the numbers as they would occur normally

we have this as;

7.65 * 10^-3 = 0.00765

9.1 * 10^-4 = 0.00091

So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number

we have this as;

0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters

Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct

Answers

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

Describe the behavior of the graph below.

Answers

the answer is d.) the graph decreasing values of x i’m sorry if i’m wrong

Answer:

Step-by-step explanation:

Solve the following inequality.
- 1/2p<-16
Which graph shows the correct solution?
+
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13 PLEASE HELP

Answers

Answer:

p<32

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]

Answer:

A is the answer got it right on quiz

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