Point X (-1, 6) is rotated 90 degrees about the origin using the transformation rule (x, y) --> (-y, x). What is the ordered pair of the Image X'? Please write your response as (x, y),

Answers

Answer 1

Answer:

The coordinates of the ordered pair of the Image X' are:  X'(-6, -1)

Step-by-step explanation:

When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.  

Thus,  

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:  

A(x, y) → A'(-y, x)

In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of  P' will be:

A(x, y) → A'(-y, x)

X (-1, 6) → X'(-6, -1)

Therefore, coordinates of the ordered pair of the Image X' are:  X'(-6, -1)


Related Questions

-4(y-2)=12
what does y equal

Answers

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

HELP OMG PLEASE ITS EASY IM JUST LAZY TO USE MY BIG BRAIN TY <3

Answers

Answer:

3. <0, <BOA, <ABO

45

4. <E, <NED,<DEN

80

here you guess and judge by your basic knowledge of angles and guess the angle measurement. and as far as the angle names with three points there should be three names and so the angle you are measuring must always be in the middle and ya :))

Simplify a^5/a^3 and c^4/c^3

Answers

Answer:

Step-by-step explanation:

a^5/a^3 = a^(5-3) = a²

c^4/c^3 = c^(4-3) = c¹

What is the volume of this triangular pyramid?

Answers

The volume is 24 cubic meters :)

What is 9867 rounded to the nearest 1000

Answers

Answer:

10,000

Hope it helps

Have a good day

10,000



Hole this helps

I need help with this​

Answers

it is option 3 trust

What is a solution to the inequality m<25

Answers

Answer:

I think the answer is m= -91

TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?​

Answers

Answer:

The answer is 65.75

Step-by-step explanation:

Since tq is perpendicular to PR then qtsr becomes square

Then

[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]

Since the triangle pqt is right angled

Then

[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]

Then the height of the pole is equal to

[tex]pq + qr = 35.75 + 30 = 65.75[/tex]

Please teach me how to do this thank youuu.

Answers

Answer:

-10.2

Step-by-step explanation:

To find the equation you have to pick to random points, find the slope, and the y-intercept.

(1,-2) (2,2)

Slope = 2 - - 2 / 2 - 1

Slope = 4 / 1

Slope = 4

an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2

when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2

f(-2) = -10.2

* i really hope this made sense

hhhhheeeeeellllllppppp pppppllllllzzzzz!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

HMMMMMM

Step-by-step explanation:

i think its b or c

What is the slope (-5,5) and (5,1)

Answers

Answer:

m= - 2/5

Step-by-step explanation:

Cual es mayor? >, <, o =
-8 o 8 ?
1,3 o -1,2?
-5 o 0?
0 o 4?
0 o -0,1
3 o 5
3,2 o 3,12

Answers

Answer:

-8<8

1,3>-1,2

-5<0

0<4

0>-0,1

3<5

3,2>3,12

zero es mas grande que los numeros negativos

The function f(x) = 4 x 3^x models the population of tadpoles in a frog pond after x years. Write a recursive formula to model the situation

Answers

Answer:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4*3^x[/tex]

Required

Write as a recursive function

Substitute 1 for x.

[tex]f(1) = 4*3^1 = 4 * 3 = 12[/tex]

[tex]f(2) = 4*3^2 = 4 * 9 = 36 = 12 * 3[/tex]

[tex]f(3) = 4*3^3 = 4 * 27 = 108 = 36 * 3[/tex]

Following the above pattern:

[tex]f(n) = T_{n-1} * 3[/tex]

[tex]f(n) = 3T_{n-1}[/tex]

Hence, the recursive function is:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

4. Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

I hope this helps, have a great day:) God bless you!

Answer:

g

Step-by-step explanation:

bc you go from -2 then up the Y axis 3 times and its g

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​

Answers

Consider the first blank is the green box.

Given:

The equations are

[tex]3x+2y=9[/tex]

[tex]-x-2y=4[/tex]

To find:

The value belongs in the green box

Solution:

We have,

[tex]3x+2y=9[/tex]        ...(i)

[tex]-x-2y=4[/tex]        ...(ii)

Adding (i) and (ii), we get

[tex]3x+2y-x-2y=9+4[/tex]

[tex](3x-x)+(2y-2y)=13[/tex]

[tex]2x+0=13[/tex]

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

Answer:

2x + 0 = 13

Step-by-step explanation:

To add the equations, we add the corresponding terms on both sides of the equal sign.

The given equations:

3x + 2y = 9

-x - 2y = 4

Adding the equations term by term:

(3x + (-x)) + (2y + (-2y)) = 9 + 4

Simplifying the equation:

2x + 0 = 13

The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.

The system of equations has .
the options are
1. one solution
2. no solution
3. infinitely many solutions

Answers

Answer: 3. Infinitely many solutions

Step-by-step explanation:

If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions

The answer is 3, I don’t know how I just need the option to ask someone

£1500 is invested for 3 years at 2% per year simple interest. Work out the total interest.

Answers

2÷100=0.02

1500×0.02=30

30×3=90

Answer:

£90

Step-by-step explanation:

Simple interest (I ) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is principal, R is rate of interest and T time in years )

Here P = 1500, R = 2 and T = 3 , then

I = [tex]\frac{1500(2)(3)}{100}[/tex] = 15 × 2 × 3 = 30 × 3 = £90

If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.

[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)

Answers

Answer:

3.5%

Step-by-step explanation:

Given data

A=$6225

P=$5000

T= 7years

R=???

Simple interest

A=P(1+rt)

substitute

6225=5000(1+7r)

6225=5000+35000r

collect like terms

6225-5000=35000r

1225=35000r

r= 1225/35000

r=0.035

Hence the rate is 0.035*100= 3.5%

Write a linear equation in slope Intercept form of a line with a slope of -3 and y Intercept of 0​

Answers

Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

Six added to the quotient of 84 and seven

Answers

Answer:

84 divided by 7 is 12 + 6 = 18

PLEASE HELP ME 100 POINTS

A. 6.3 in
B. 9.1 in
C. 12.6 in
D. 25in
E. 50.2 in

Answers

Radius=r=4in

Circumference

[tex]\\ \tt\hookrightarrow 2\pi r[/tex]

[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]

[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]

[tex]\\ \tt\hookrightarrow 25.12in[/tex]

Answer:

Radius of the circle=4 in

Circumference=?

We know that,

[tex] \purple{Circumference_{(circle)}=2πr}[/tex]

[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]

It’s really hard...pls help

Answers

Answer:

80

Step-by-step explanation:

360 - (110+80+90) = 80

Answer:

80°

Step-by-step explanation:

360-110-90-80

Angles outside a circle add up to 360°

PLZ HELP 2/3*2
THXXX

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2/3 x 2/1 gets you 4/3

That's an improper fraction, so you can simplify it to 1 1/3 if necessary.

PLEASE HELP ME ASAP!! MY CLASS IN 6 MINUTES!
At a gathering of 12 people, there are 5 people who all know each other and 7 people who know no one. People who do not know each other shake hands. How many handshakes occur?

Answers

Answer: someone told me its 35 so...

Step-by-step explanation:

Answer:

Step-by-step explanation: Since there are 7 people who shake hands with everybody including the people who know each other, we can add 11+10+9+8+7+6+5, because each handshake counts once, but the other five can't be counted because they are the people who already know each other and if you add 11+10+9+8+7+6+5, you will also get 16*3 +8 which equals to 56.

HELP PLEASE IM GOING TO FAIL WILL GIVE BRAINLESS

Answers

Answer:

x= 20

AD= 23

DC= 23

AC= 46

Step-by-step explanation:

because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46

Find the side indicated by the variable. Round to the nearest tenth.​

Answers

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32°) = [tex]\frac{16}{b}[/tex]

b = [tex]\frac{16}{\text{tan}(32)}[/tex]

b = [tex]\frac{16}{0.62487}[/tex]

b = 25.605

b ≈ 25.6

4x³ + 9 + 16x² +4 + 12x³ + 17
combine like terms and order

Answers

Answer:

16x^3+16x^2+30

Step-by-step explanation:

simplify the expression
3x +4 +yxy +7y -10x + 6

Answers

Answer:

- 7x + 10 + y² + 7 y

Step-by-step explanation:

Hope this will help

please, I need your help!! I will mark correct answer as brainliest.

Answers

Answer:

3, -3, 0

Step-by-step explanation:

The exlcusions of x are where the denominator =0

So we can write the following equations

x²-9=0

and

5x=0

Let's solve the first one

x²-9=0

x²=9

x= ±3

and

5x=0

x=0

Therefore x cannot equal 3, -3, 0

Answer: 3, -3, 0

So, yea. The answer ontop is also correct

WHOEVER ANSWERS FIRST GETS BRAINLIEST!! PLZ EXPLAIN CLEARLY

A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide

Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in the United States or the standard sheet of paper in Europe?

Answers

Answer:

Step-by-step explanation:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by  29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

The U.S sized standard paper is 8.0 in by  11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.

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