What is the image of the point (9, – 7) after a rotation of 270° counterclockwise
about the origin?

Answers

Answer 1

Answer:

The image if the point is (-7, -9)

Step-by-step explanation:

If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

∵ The given point is (9, -7)

x = 9 and y = -7

∵ The given point is rotated 270° counterclockwise about the origin

→ By using the third rule above

∴ The image of the point is (y, -x)

→ That mean change the sign of x-coordinate, then switch them

∵ x = 9 and y = -7

The image if the point is (-7, -9)


Related Questions

Simplify i give brainlest

Answers

Answer:

56/6 or 9.33

Step-by-step explanation:

8x5 -4^2/

2x3

40 - 4^2/

2x3

40 + 16/

6

56/6 or 9.33

The answer is 4 because when simplifying the top of the fraction it equals to  24  and the bottom is 6 so when dividing it equals 4.

There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. How
many cans of tennis balls did Coach buy? Which equation models this problem?

Answers

Answer:

Step-by-step explanation:

27÷3=9

The couch bought 9 cans of tennis ball.

What is division?

One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.

Given, there are 3 tennis balls in each can.

And couch bought 27 tennis balls.

To find the number of cans:

Take the division of Total number of balls to balls in one can.

That means the number of cans for 27 tennis balls,

= 27 / 3

= 9

Therefore, the 9 cans the couch bought.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60

Answers

Answer:

The first option

Step-by-step explanation:

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

Option A is the correct answer.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and size.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

From the graph, we see that,

The coordinates in the line g(x) are (5, 100) and (4, 10).

Now,

g(x) = [tex]10^{x - 3[/tex] ______(1)

Substituting (5, 100) and (4, 10) in (1)

We get,

g(5) = [tex]10^{5 - 3[/tex] = 100

g(4) = [tex]10^{4 - 3[/tex] = 10

This is true.

Thus,

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ7

Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a

B.) : 2a+6

C.) 6a+2

D.) 6+a

Answers

Answer:

the answer is b

Step-by-step explanation:

here you go mate

step 1

2(3+a)  equation/question

step 2

2(3+a)  simplify

(2)(3+a)

step 3

(2)(3)+(2a)  add them up

answer

6+2a

Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME

Answers

Answer:

x= 12

Step-by-step explanation:

First, we can note that the angles in a pentagon add up to 540°

We can, using the image below, conclude that angles a+b+c+d+f=540

Furthermore, a is on a straight line with 7x+4, and so on, so

180-(7x+4)= a

176-7x=a

180-(4x+1) = b

179-4x = b

180-(9x-6) = c

186 - 9x = c

180 - (4x+9) = d

171 - 4x = d

180 - (5x+4) = f

176 - 5x = f

a+b+c+d+f = 540

176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540

888 - 29x = 540

348 = 29x

x = 12

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

Answer:

again i can not see the given point

Step-by-step explanation:

A 9-yard roll of white paper costs $1.98. What is the unit price?

Answers

Answer:

$0.22

Step-by-step explanation:

divide $1.98 by 9 to get the unit price

x * 2/3 < 2/3
Solve for x

Answers

Answer:

x<1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:x<1

Step-by-step explanation:

For the following expressions, match them up with their correct factored form​

Answers

- No. 3 on the left matches to no.1 on the right
- No.1 on the left matches to no.2 on the right
- no. 4 on the left matches to no. 3 on the right
- no. 5 on the left matches to no. 4 on the right
- no. 2 on the left matches to no.5 on the right

The expression (x+6)² is simplified as x²+12x+36.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

A) (3x-2)(x+5)

= 3x²-2x+15x-10

= 3x²+13x-10

B) (3x-8)(3x+8)

= (3x)²-8²

= 9x²-64

C) 5x(x-1)(x+7)

= (5x²-5x)(x+7)

= 5x²(x+7)-5x(x+7)

= 5x³+35x²-5x²-35x

= 5x³+30x²-35x

D) (x+6)²

= x²+12x+36

E) (x-2)(x-8)

= x(x-8)-2(x-8)

= x²-8x-2x+16

= x²-10x+16

So, A→2, B→5, C→1, D→3, E→4

Therefore, the expression (x+6)² is simplified as x²+12x+36.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

what is the median of these numbers 12 13 15 16 19 32

Answers

Answer:

15 1/2 or 15.5

Step-by-step explanation:

the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5

A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?

Answers

Answer:

30% increase

Step-by-step explanation:

First, find the difference between the prices:

156,000 - 120,000

= 36,000

Then, find what percent this is of the original price:

36,000/120,000

= 0.3

So, the percent increase is 30%

Last year, the average monthly revenue at the Westford Times newspaper was $54,460.70. This year, the average monthly revenue so far has been $70,798.91. What is the percent of increase in the average monthly revenue?

Answers

9514 1404 393

Answer:

  30% increase

Step-by-step explanation:

The percentage change can be computed from ...

  percent change = ((new value)/(old value) -1) × 100%

  = (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%

  = 30%

The average monthly revenue increased by 30% from last year.

Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5

Answers

Answer:

It's D. 5

Step-by-step explanation:

A^2 + B^2 = C^2

The third length of the right triangle is 5 units. Then the correct option is D.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

We have

P = a

B = 12

H = 13

Then

13² = a² + 12²

169 = a² + 144

  a² = 169 – 144

  a² = 25

    a = 5

Then the correct option is D.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Combine like terms : 10a+11x+3+10-9a-9+2+6x

Answers

a+17x+6.................

Answer:

a+17x+6

Step-by-step explanation:

The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.

Answers

,.....................

Use the Distributive Property to rewrite the expression in factored form.


5x - 10
16p + 24c + 32w

I used all my points please help

Answers

if they are 2 separate equations the first one is 1) 5(x-2) and the second one is 8(2p + 3c+4w )

ANSWER FAST ILL GIVE BRAINLIEST!!
Find the surface area of the pyramid to the nearest whole number.

Answers

Given:

A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.

To find:

The surface area of the pyramid to the nearest whole number.

Solution:

A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.

Area of a square is

[tex]A_1=(edge)^2[/tex]

[tex]A_1=(10)^2[/tex]

[tex]A_1=100[/tex]

So, area of square base is 100 sq. in.

Area of a triangle is

[tex]A_2=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_2=\dfrac{1}{2}\times 10\times 4[/tex]

[tex]A_2=20[/tex]

So, area of each triangular surface is 20 sq. in.

Now, the total surface area of the pyramid is

Total area = Area of square base + Area of 4 congruent triangles.

[tex]A=A_1+4\times A_2[/tex]

[tex]A=100+4\times 20[/tex]

[tex]A=100+80[/tex]

[tex]A=180[/tex]

Therefore, the area of the pyramid is 180 sq. in.


Solve?? Wat is it plss?

Answers

1,929 is the answer.
8,533
-6,604
———-
1,927

Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.

If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.

Answers

Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.

Since they're money sum up to $95.34, the first expression will be;

x+y+z=95.34

Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;

y=x-12.12

Cesar_x_raised $35more than Dalila_z. So the equation will be;

x=z+35

making z the subject, z=x-35 .

Substituting the Second equation into the first one, we get;

x+x-12.12+z=95.34

Subtracting the third equation into the new equation we get;

x+x-12.12+x-35=95.34

Simplifying, we get 3x- 47.12= 95.34.

3x=142.46

help please this has to be done ​

Answers

Answer:

100

Step-by-step explanation:

a triangle is 180, so 180-58-22 is your answer


i need help with a question.

Answers

The answer is x =-2

Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?

Answers

Answer: 172.8

Step-by-step explanation:

1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8

Answers

Answer:

Step-by-step explanation:

98% it is the only percent and it is close to one

Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy

Answers

Answer:

9 cd's

Step-by-step explanation:

what is the slope line segment between A(10,5) and B (13,-1​

Answers

Answer:

-2

Step-by-step explanation:

using the slope formula with these two points gives me a slope of -2. Hope that helps!

Pls help asap, will do brainlest

Answers

Answer:

i got 2730 hope its right

Step-by-step explanation:

Alright here is another question

Answers

Answer:

1/2bh, bh, s²

Step-by-step explanation:

Base x Height = area of rectangle/square, so half it (to get the triangle)

Base x Height = Area of rectangle

And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)

please help me I don't get it

Answers

Answer:

5

Step-by-step explanation:

1/6 X 6 = 1 X 5 = 5

6 X 5 = 30

The Correct Answer is 5

for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy bars and made 160.50. what was the cost of a bag of popcorn

Answers

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b = $282

17p + 20b = $160.50

this is an example of simultaneous equations

so you have to double the second equation to give 34p + 40b = $321

subtract the equations to give one -- >  6p = $39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

Solve for y

4x + 4y = -36

Answers

uhhhh the answer is -9 I think

Other Questions
i need help from somebody who takes debate class at school, pleaselet me know if you do Write 2^4 by using repeated multiplication. Then find the value of 2^4 HELP PLEASEAt Love Canal in the 1970s, there was an environmental disaster. In response, the Superfund law was passed. Why can we view Love Canal and the creation of the Superfund as a positive environmental event? A. It allowed the EPA to find toxic waste sites and force the responsible parties to clean up the sites. B. It provided money to businesses responsible for toxic waste sites to clean up their pollutionC. It helped boost the economy among those waste sites D. It helped identify toxic waste site and move people away from them How many moles in 206.91 g Na URGENT. CAN SOMEONE PLEASE HELP ME WITH GEOMETRY? CHECK MY PAGE FOR EZ POINTS!!! :DDD help me please****** What is the common factor that we can divide 6 and 8 by? ples show work- kskskskskskksksksk Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 44 represents the total cost. How many of each type of book did you buy? Can someone balance these equations? You are loved. You are beautiful. You are amazing. Life is funny. Things change, people change, but you will always be you, so stay true to yourself and never sacrifice who you are for anyone. -Zayn Malik Simplify (65)2O A. 670O B. 67C. 65D. 63 Are people racially profiled by the Police? why or why not, explain please what two elements define a story's setting PLZ ANSWER What patterns do you see in the pairs of numbers? Which is the greater number in each pair? Explain how you know. a) 2 3 or 3 2 b) 2 5 or 5 2 c) 3 4 or 4 3 d) 5 4 or 4 5 PLEASE HELP QUICK!!!!!!!!!!!!!!Which power do both the federal and state governments have? (4 points)Select one:a. Make marriage lawsb. Raise and collect taxesc. Coin and print moneyd. Conduct elections Find the value of x. 42 58 x Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year? 12 divided by the sum of h x and 3