The image of the point (4,-2) under a rotation 180 degrees about the origin is:

Answers

Answer 1

Answer:

(-4, 2) is the answer.

Step-by-step explanation:

Given the point  (4,-2).

To find:

Image of point under a rotation of [tex]180^\circ[/tex] about the origin.

Solution:

First of all, let us learn about the quadrant system.

There are four quadrants in the xy-coordinate system.

Each quadrant is at [tex]90^\circ[/tex] with each other that means, if we rotate any point by [tex]90^\circ[/tex], one quadrant gets changed.

If we rotate by another [tex]90^\circ[/tex], one more quadrant will get changed.

OR

we can say that if the rotation is performed by [tex]180^\circ[/tex] about the original, the point will go to its diagonally opposite quadrant.

1. A point in 1st quadrant, rotated by [tex]180^\circ[/tex], about origin will go to 3rd quadrant.

2. A point in 2nd quadrant, rotated by [tex]180^\circ[/tex], about origin will go to 4th quadrant.

3. A point in 3rd quadrant, rotated by [tex]180^\circ[/tex], about origin will go to 1st quadrant.

4. A point in 4th quadrant, rotated by [tex]180^\circ[/tex], about origin will go to 1st quadrant.

Here, the given point is in 4th quadrant. so it will go to 2nd quadrant.

And hence, both the signs will change.

x coordinate will be -4 and

y coordinate will be 2.

Please refer to the image attached as well.

The angle of rotation is [tex]180^\circ[/tex].

Resultant point will be (-4, 2).

The Image Of The Point (4,-2) Under A Rotation 180 Degrees About The Origin Is:

Related Questions

Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest

Answers

Answer:

not possible

Step-by-step explanation:

The Law of Detachment is:

If p, then q. p is true. We can then conclude q is true.

For example:

If it rains, the grass gets wet. It is raining. Then the grass is wet.

In the problem in this post, it is not possible to use the Law of Detachment because we have:

If p then q. q is true. We are not told p is true, so we cannot conclude q is true.

Answer: not possible

URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2

Answers

Answer:

2x3 + 6x2

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90

Answers

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct

Answers

Answer:

a) Cost of flying from A to B = $425

b) Total distance travelled by Piravena during the complete trip = 7,500 km

c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.

Step-by-step explanation:

The complete question is presented in the attached image to this question.

Full Question

a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.

b) Determine the distance she travels for her complete trip.

c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.

Solution

a) The distance from A to B is given as 3250 km.

To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.

So, to fly 3250 km, she will pay

100 + (0.10×3250) = $425

b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.

Her complete distance travelled = AB + BC + CA

But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.

Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides

AB² = BC² + CA²

3250² = BC² + 3000²

BC² = 3250² - 3000² = 1,562,500

BC = √1,562,500 = 1,250 km

Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km

c) Her total cost of travel = $1012.50

But she definitely flew from A to B at a cost of $425

This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5

Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.

To confirm this, we calculate the two options (bus or airplane) for each route.

If she travels B to C by bus, cost = 0.15 × 1250 = $187.5

If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225

Hence, the bus obviously minimizes cost here.

If she travels from C to A by bus, cost = 0.15 × 3000 = $450

If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400

Here, travelling by airplane minimizes the cost.

So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5

which is the remaining part of her total cost is she minimized expenses!

Hope this Helps!!!

Answer:

The distance is 7500 kilometers

Step-by-step explanation:

I got the answer wrong myself and the website told me that it’s 7500 kilometers

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW

Answers

Answer:

3.53 inch

Step-by-step explanation:

area = 1/8 π r² with r=3 inch (half diameter)

= 9/8 π ≈ 3.534 inch²

Answer:

2.53 in,3.53 in

i hope this helps sorry if it doesn't

please help me I really need help ​

Answers

Answer:

NS ≈ 79.3 m∠PNS ≈ 30.3°

Step-by-step explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

  PN² = 33² +60² = 4689

  PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

  NS² = PN² +PS² = 4689 +1600 = 6289

  NS = √6289

  NS ≈ 79.3 . . . meters

__

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

  tan(PNS) = NS/PN = 40/68.476

  ∠PNS = arctan(40/68.476)

  ∠PNS ≈ 30.3°

If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225

Answers

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

Please help. I don't understand how to solve this problem.

Answers

Answer:

BF=16

Step-by-step explanation:

To find BF, (I will be calling it x) you need to use the equation

CF/FB=CE/EA Substitute

FB=x

24/x=18/12 cross multiply

18x=288 divide both sides by 18

x=16

FB=16

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.

Have a good day! :)

If ε= {x: x is an integer such that 1

Answers

2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.

can you pls help thank you​

Answers

Answer:

not a function

Step-by-step explanation:

This is not a function.  For the value x =2 there are two different y values

To be a function each value of x has only one value for y

This would also fail the vertical line test

Find the solutions to the equation below.
Check all that apply.
x2 - 25 = 0
O A. X=-3
OB. x = 3
O c. x= -1
O D. x= 1
E. x = -5
O F. X = 5

Answers

Answer:

[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]

hope this helps

An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.

Answers

Answer:

b, d, e

Step-by-step explanation:

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

Define Ellipse.

An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

Find out more information about ellipse here:

https://brainly.com/question/19507943?referrer=searchResults

897-113×2:2+113

A) 888
B) 987
C) 898
D) 1694
E) 897​

Answers

Answer:

d it is what it is my man's

a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3

Answers

Answer:

a. 1/12 (hope it help)

Step-by-step explanation:

5sec/60sec=1/12

which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.

Answers

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.



A. 1/6

B. 5/6

C. 25/36

D. 10

Answers

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form

with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus

[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]

Substitute this value into y

y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]

   = [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]

Since a > 1 then the vertex is a minimum, thus

minimum value = [tex]\frac{1}{6}[/tex] → A

5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1​

Answers

Answer:

386.11

Step-by-step explanation:

32,860=€386.11

The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r

Answers

Answer: r+7 is irrational

Step-by-step explanation:

1) If r is irrational, that means that it goes on and on forever.

2) 7 is a rational number because it can be expressed as a quotient of 2        integers (7÷1=7)

3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.

According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)

Answers

The answer is A for this question

Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15

Answers

OD) x =-2 + 215, = -2 - 2 15

for how many values of k will x² + kx + 12 factor?

Answers

Answer:

  6

Step-by-step explanation:

We want to factor the trinomial into a product of binomials. In general, we have ...

  (x +a)(x +b) = x² +(a+b)x +ab

So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:

  12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The values of k are the sums of these factors of 12, so are

  1+12 = 13

  2+6 = 8

  3+4 = 7

  -1-12 = -13

  -2-6 = -8

  -3-4 = -7

There are 6 possible integer values of k that will make the trinomial factorable in integers:

  k ∈ {-13, -8, -7, 7, 8, 13}

Find a formula for the general term of each of the following sequences a)7,13,19,25,31

Answers

Answer:

aₙ= 6n+1

Step-by-step explanation:

7,13,19,25,31

Given, AP with the first term of 7, and common difference of 6

Nth term:

aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1

I am really struggling with this question. please help.

Answers

Answer:

y = -2/3x + 1

Step-by-step explanation:

Step 1: Find slope

m = (-1 - 3)/(3 + 3)

m = -2/3

y = -2/3x + b

Step 2: Find b

-1 = -2/3(3) + b

-1 = -2 + b

b = 1

Step 3: Write equation

y = -2/3x + 1

Subtracting Fractions
13 minus 12/40 equals

Answers

Answer:

12 7/10

Step-by-step explanation:

13  - 12/40

Simplify the fraction

13 - 3/10

Borrow 1 from 13 in the form of 10/10

12 + 10/10 - 3/10

12 7/10

The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.

Answers

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?

Answers

You need to give us answer choices.

However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.

The length of BE could possibly be 27 units.

- I hope this helps. Next time, please use the search feature :)))

Divide up the number 60 in 2:3:5 ratio.

Answers

I will do the homework for you but is is a quiz or test I can only do if it homework

Answer:

Step-by-step explanation:

Please helppppp meeeeee it would mean the worlddddd

Answers

Answer:

x = 7.5

Step-by-step explanation:

The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°

Answers

Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

What are the domain and range of f(x) = 2x - 4?​

Answers

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

Yes that’s corrected
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