point B is the image of the point A when A is rotated 90° counterclockwise around the origin

point B must be the same ________ from the origin as point A​

Answers

Answer 1

Answer:

distance

Step-by-step explanation:

Answer 2

Point B must be the same distance from the origin as point A​.

What is Rotation?

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

Given that,

Point B is the image of the point A when A is rotated 90° counterclockwise around the origin.

A point P(x, y) after the rotation of 90°counterclockwise around the origin is P'(-y, x).

So the x coordinate changes to the negative of y coordinate and y coordinate changes to x coordinate.

Distance between P(x, y) from origin (0, 0) is √(x² + y²)

Similarly the distance P'(-y, x) from origin (0, 0) is √((-y)² + x²) = √(x² + y²)

Hence they are at the same distance.

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Related Questions

What is the value of 3^2+4(2+4)x6 divided by 8+4

Answers

Answer:

its 31

Step-by-step explanation:

Use distributive property. 4 x 63 = ??

Answers

Answer:

(4) * (63)

252

(* ̄3 ̄)╭

HELP NO WRONG ANSWER PLS

Answers

it's π 11²-π 3²

π(121-9)

3.14(112)

=351.68cm²

round off yourself (╥﹏╥)

The answer is : 351.69cm^2

Can some one help me answer this.

Answers

Answer: y= 0.0025

Step-by-step explanation:

Answer:

y= 0.0025

Step-by-step explanation:

every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4

PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

to make it quick

2*110 = arc FI

220° = arc FI

arc LI = 97°

arc FL = x

360 = 220 + 97 + x

43 = X

arc FL = 43°

:)

The store brought a pair of shoes for 40$ and sold it for 50$. What percentage was the markup?

Answers

Answer:

20%

Step-by-step explanation:

You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.

The answer here is going to be 20%

19.87 but there’s a 20% discount what’s the answer now?

Answers

15.90 would be your new answer

19.87 = 100%

If you divide both sides by ten, you would get what ten percent is.

1.987 = 10%

Multiply this by two to get 20%.

3.974 = 20%

Minus twenty percent from the original amount.

18.87 minus 3.974 = 15.886 after the discount.

AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo

Answers

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

11x + 4y = 32
x = -2y - 2

Answers

The answer is y= -x/2 -1 solving for the Y

A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.

Answers

Answer:

4/76 or simplified as 1/19

Step-by-step explanation:

5/20 is for the probability of the first balloon

4/19 is for the probability of the second balloon

5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76

4/76 can also be simplified to 1/19

please help!!!! find the value of x

Answers

Answer:

The answer is x+2=7,

Step-by-step explanation:

because x is a variable

What is the perimeter of a rectangle with a length of 6cm and a width of
5cm?

Answers

Answer:

perimeter = 22 cm

Step-by-step explanation:

perimeter = 2(L + W) = 2(6 + 5) = 22 cm

Answer:

22cm

Step-by-step explanation:

P=2(l+b)

so length (l)=6cm

width (b)=5 cm

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?

Answers

Answer:

1/3 hr or 20 min.

Step-by-step explanation:

Call the trains A and B

Remember d = rt

Distance train A travels is 80t

Distance train B travels is 70t

Now, 80t + 70t = 50

              150t = 50

                    t = 50/150 = 1/3 hr or 20 min.

Answer: 20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:
One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

Please choose the correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

its B E F

Step-by-step explanation:

hope this helps

Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14
for it Round to the nearest hundredth.

A. 63.06
B. 31.53
C. 621.72
D. 310.86

Answers

The radius of the circle is around 31.65 cm. Choice B

The formula C = 2πr , where C is the circle's circumference and r is its radius, yields the circumference of a circle. In this illustration, the circle's circumference is given as 198 cm

C = 2πr

The formula to calculate the radius can be revised as follows:

r = C / (2π)

r = 198 / (2 * 3.14)

To perform the calculation, divide the numbers:

r ≈ 198 / 6.28

r ≈ 31.65

The circle's estimated radius is 31.65 centimetres as a result.

So, rounded to the closest hundredth, the estimated radius of the circle with a circumference of 198 centimetres is 31.65 centimetres.

The closest option to 31.65 in the list of possible answers is B. 31.53. It's crucial to keep in mind that choosing 3.14 as an approximation for involves some mistake and that the precise radius number might change slightly.

When rounded to the next hundredth, the radius is 31.65. This result can be compared to the other solutions to show that:

B. 31.53.

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en una granja sembraron 20 parcelas de locotes, con 40 plantas en cada una ¿Cuántas plantas de locotes se tienes?

Answers

Answer:

800

Step-by-step explanation:

20 x 40 = 800

Please can someone help I don’t understand the question if it’s right I’ll give more plsssssesssssssssssddsd

Answers

Answer:

x = 33°

Step-by-step explanation:

From the figure attached,

FB and FC are two secants intersecting each other at point F outside the circle.

Measure of angles between the secants measures half of the difference between the intercepted arcs.

x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]

x° = [tex]\frac{1}{2}(108-42)[/tex]

x = 33°

find the value of given expression

[tex] \sqrt{369 \times 369} [/tex]

Answers

Answer:

√{369×369}=√369²=369 is your answer

Answer:

your answer will be 369

Step-by-step explanation:

......

A geometric sequence is given by the recursive rule $a_1=\frac{2}{3},\ a_n=3a_{n-1}$ . Give an explicit rule for the nth term of the sequence $b_1,\ b_2,\ b_3,\ \dots\ ,$ given that $b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots$ .

Answers

Answer:

[tex]b_n = \frac{2}{27} (9^n)[/tex]

Step-by-step explanation:

Given

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Required

An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]

Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

We have:

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Calculate a2

[tex]a_2 = 3a_{2-1}[/tex]

[tex]a_2 = 3a_1[/tex]

[tex]a_2 = 3 * \frac{2}{3}[/tex]

[tex]a_2 = 2[/tex]

Calculate a3

[tex]a_3 = 3a_{3-1}[/tex]

[tex]a_3 = 3a_2[/tex]

[tex]a_3 = 3 *2[/tex]

[tex]a_3 = 6[/tex]

Calculate a4

[tex]a_4 = 3a_{4-1}[/tex]

[tex]a_4 = 3a_3[/tex]

[tex]a_4 = 3*6[/tex]

[tex]a_4 = 18[/tex]

Calculate a5

[tex]a_5 = 3a_{5-1}[/tex]

[tex]a_5 = 3a_4[/tex]

[tex]a_5 = 3*18[/tex]

[tex]a_5 = 54[/tex]

So:

[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

[tex]a_1=\frac{2}{3}[/tex]     [tex]a_3 = 6[/tex]     [tex]a_5 = 54[/tex]

The above sequence form a geometric sequence.

Calculate common ratio (r)

[tex]r = \frac{b_3}{b_2}[/tex]

[tex]r = \frac{a_5}{a_3}[/tex]

[tex]r = \frac{54}{6}[/tex]

[tex]r = 9[/tex]

So, the explicit formula is:

[tex]b_n = b_1 * r^{n-1[/tex]

[tex]b_1=a_1[/tex], so:

[tex]b_n = a_1 * r^{n-1[/tex]

[tex]a_1=\frac{2}{3}[/tex], so:

[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]

Split:

[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]

[tex]b_n = \frac{2}{3*9} (9^n)[/tex]

[tex]b_n = \frac{2}{27} (9^n)[/tex]

The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]

Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)

Answers

plug in the value x:

y=2^x
y=2^5
y=32

the missing value is 32

A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.

Answers

Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?

Answers

Answer:

275 - 11=264

Step-by-step explanation:

In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x

A, 8
B. 6
C. 10
D-10

Answers

Answer:

Option A. 8 will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!!

Z+k, when z=1 and k = 7

Answers

Answer:

8

Step-by-step explanation:

Replace the variables with numbers.

1+7=8

Answer:

8

Step-by-step explanation:

Since z equals 1 and k equals 7, we do 1 + 7 which is equal to 8. Therefore, the answer would be 8.

PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE​

Answers

Answer:

I think it's 145.225 sq in.

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7

15.7 x 9.25 = 145.225

Answer:

its the second one

Step-by-step explanation:

2.5 x 2 x 3.14 = 15.7 because 3.14 is pi

and then do

15.7 x 9.25 = 145.225 so there you go

11. The population of 1,000 unicorns is decreasing by 8% every year.
What is the independent and dependent variables of this situation?
A. Independent - Population; Dependent - years
B. Independent - Years; Dependent - population

Answers

A is the answer because year is X AND population is Y because for the population to go down or up time has to pass. Population is dependent on years.
A is the correct answer

Which triangle is similar to triangle T

Answers

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

Blank minus 1/10 equals 1/2​

Answers

1/2 = 5/10
5/10+1/10 = 6/10
6/10 = 3/5
3/5

PLEASE HELP ASAP PRE ALG. 20 POINTS!!!!!

Answers

Answer:

0.5/3 or 16.67

Step-by-step explanation:

Slope is y 2 minus y 1 / x 2 minus x 1.

1-0.5/6-3

0.5/3

0.5/3 hbgghhhvvvhbggg
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