What is the image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer 1

Answer:

(-8, 9)

Step-by-step explanation:

A 180 degree rotation is:

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

Apply the rule to the point given:

[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]

Hope this helps.

Answer 2

The image of the point (8,-9) after a rotation of 180° counterclockwise

about the origin is (-8, 9).

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)

A 180 degree rotation is:

(x, -y) ---  (-x, y)

Apply the rule to the point given:

(8,-9) --- (-8, 9)

Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).

Learn more about rotation of a point with respect to origin here:

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Related Questions

Solve for x:
( x - 2 ) ( x + 3 ) ( 2x - 7 ) = 0

Answers

Answer:

x=2, x=-3, or x=3.5

Step-by-step explanation:

Make them all in 3 equations equal to 0. The number of brackets, the number of equations.  

Hi, could any one explain how to find the amount of prime numbers between numbers?

Answers

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

ANSWER ASAP ! NEED ANSWERS

Answers

Answer:

B.

Step-by-step explanation:

The midpoint is at y=1

100 percent as a fraction in simplest form.

Answers

Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

Answer:

Step-by-step explanation

1/10 would be the answer

As a fraction it would be 1/100 but simplified it will be 1/10

(picture) what is the answer if x=-2

Answers

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Find the soultion, marked as brainlest

Answers

Answer:

It is (3,1)

Step-by-step explanation:

Plz name me brainliest I would greatly apreciate it I just need one more

(3.0 x 10^-2)(7.2 x10^8)

Answers

Answer:

the answer is  21600000

Step-by-step explanation:

what the answer for this pls help
ASAP will give brainliest

Answers

Answer:

X=8

Step-by-step explanation:

17x-4=12+15x

add 4 on both sides to get

17x=16+15x

now subtract 15x on both sides to get

2x=16

divide by 2 on both sides

you get

x=8

Answer:

im not too sure

Step-by-step explanation:


En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.​

Answers

Answer:

4.5 divide 100 x RM18000

4.5% is 810

810 x 3 = RM2430

RM 2430 is the total savings at the end of the year

Tina rode her bike a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

Answers

Answer:

64

Step-by-step explanation:

1.6 x 40 it's math

What is the output of this function when the input is 0?

Answers

The output or y is 1

please help me fill in the blank

Answers

Answer: X = 5

Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.

y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

the answer is both

Step-by-step explanation:

just do It I checked

Answer:

the answer is C, both are correct

Step-by-step explanation:

x^(2)+16x+28=0 complete the square

Answers

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

what is 2x+5=17
need step by step explanation

Answers

Answer: [tex]x=6[/tex]

Step-by-step explanation:

[tex]2x+5=17[/tex]  

    [tex]-5=-5[/tex]

_________

[tex]2x=12[/tex]

[tex]\frac{2x}{2}= \frac{12}{2}[/tex]

[tex]x=6[/tex]

Answer:

X=6

Step-by-step explanation:

Subtract 5 from 5 to get 2x=17

Subtract 5 from 17 aswell to get 2x=12

Devide both sides by 2 to get x=6

Carly is ordering candles online.

Answers

Answer:

Is that the whole question or....

(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too

Answers

Answer:

Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Step-by-step explanation:

We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]

and values a=6, b=4 and d=1/2

We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result

Putting values in the equation:

[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]

So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Answers

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

3/4 subtracted from a number, and then 5 1/4 was added to the result The sum was -7. What was the original number?

Answers

Tha answer to this is -11.5

When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest

Answers

Maybe 6+4x??? Not sure though

If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.

The function, f(x), models the total number of dolls in her collection after x number of years is,

f(x) =6+4x.

Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

Learn more about the function here:

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Solve 15=3n+6p, for n

Answers

Answer:

[tex]n=5-2p[/tex]

Step-by-step explanation:

STEP 1: Rewrite the equation as  3 n + 6 p = 15 .

[tex]3n+6p=15[/tex]

STEP 2: Subtract  6 p  from both sides of the equation.

[tex]3n=15-6p[/tex]

STEP 3: Divide each term by  3  and simplify.

[tex]n=5-2p[/tex]

This is how I solved it

What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:

n= 17

Step-by-step explanation:

17×25 = 425

425×4= 1700

25×4=100

1700÷100= 17

Answers

Answer:

Step-by-step explanation:

(17×25)×4=n×(25×4)

or 17×(25×4)=n×(25×4)  

17=n

∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]

geometric of
1/3, 2/9, 4/27, 8/81, 16/243

Answers

a The answer is
n
=
2
n

1
3
n

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST
-3.5, √20, negative √19, 4.9, 3/2

Answers

Answer:

[tex]\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9[/tex]

Negative numbers go first, the greater the number, the smaller the number.

Answer:

-√19,-3.5, √20, 4.9, 1/2

Step-by-step explanation:

Find the square root of 19 ( Which you can't)  always have the negatives go first because negatives are the greatest. Find the square root of 20, which equals 4.4, then divided 3/2 which gives you 1.5. I hope this helped! I'm not the best at explaining either.

Which of the following numbers can be expressed as a decimal that terminates? (5 points)

3 over 2 , 2 over 3 , 3 over 4 , 5 over 7
3 over 2 and 2 over 3
3 over 4 and 5 over 7
3 over 2 and 3 over 4
2 over 3 and 5 over 7

Answers

Answer:

3 over 2 = 1.5

3 over 4 = 0.75

3 over 2 and 3 over 4 = 2.25

Step-by-step explanation:

Answer:

3 over 2 and 3 over 4

Step-by-step explanation:

that it

what is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2

Answers

1 1/2 I think is the answer

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY

Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.

Answers

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Which ordered pairs are solutions to the inequality y - 3x < -8?
Select each correct answer.
(1, -5)
(-3, - 2)
(0, -9)
(2, -1)
(5, 4)​​​

Answers

Answer:

Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Will mark brainliest if I can.

Answers

Answer:

(0, -4)

(2,0)

Step-by-step explanation:

Basically x intercept is (0, -4)

Y intercept is (2, 0)

Hope I helped!

Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0

Answers

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

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