If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?

Answers

Answer 1
Learn about the rules for 180 degree rotation in anticlockwise or clockwise direction about the origin.



How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).



Worked-out examples on 180 degree rotation about the origin:

1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)

(ii) B (-2, 7)

(iii) C (-5, -8)

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

(ii) The new position of the point B (-2, 7) will be B' (2, -7)

(iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)



2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.

Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).



3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.

Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.

Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:

P (-3, 1) → P' (3, -1)

Q (2, 3) → Q' (-2, -3)

Thus, the new position of line segment PQ is P'Q'.

4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.

Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.

Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:

M (-2, 3) → M' (2, -3)

N (1, 4) → N' (-1, -4)

Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.

Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:

P (1, 4) → P' (-1, -4)

Q (3, 1) → Q' (-3, -1)

R (2, -1) → R' (-2, 1)

Thus, the new position of ∆PQR is ∆P’Q’R’.




Answer 2

Answer:

im not sure if there is a picture it would help more :)

Step-by-step explanation:


Related Questions

HEELLLPP MEEEE PLZZZZ!!!!!

Answers

Use the distance formula to find base and height.

In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike before the mark-up?

Answers

Answer:

210.00 divided by 4 = 52.5      then you would subtract 210 by 52.5 and you would get 157.5.

Step-by-step explanation:

Solve 6w – 2 ≤ 10 for w.

Answers

Answer:

w greater than 2

Step-by-step explanation:

Evaluate each value expression for the given value of the variable : 5y- 8 when y=3

Answers

The answer is 7
5(3)-8
15-8
=7
This equation will Equal to 7

Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

Answers

Answer:

5.08 inches

Step-by-step explanation:

Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.

The scale =

1 inch = 100 feet

100 feet = 1 inch

508 feet = x inches

Cross Multiply

100 × x = 508 × 1

x = 508 × 1/100

x = 5.08 inches

The height of the model is 5.08 inches

Reggie is asked to graph this system of equations:

3x + 4y = 8
y-5x = 2

How many times will the lines intersect?

A. There is no way to tell without graphing the lines first.

B. The lines will intersect infinitely many times, because they are
identical.

C. The lines will not intersect, because this system has no solutions.

D. The lines will intersect once, because this system has one
solution.

Answers

Answer:

We will solve by graphing this system.

According to the graph bellow, the answer is D. The lines will intersect once, because this system has one  solution.

Answer:  D. The lines will intersect once, because this system has one  solution

Step by Step Explination:

Yes it is correct because I took the test and got 100%

If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i need answers FAST like before the end of the week

Answers

Answer:

He has a total of 32 cones

Step-by-step explanation:

Can someone help me please

Answers

Answer:

x = 69

Step-by-step explanation:

x+x+(x-27) = 180

3x = 207

x = 69

A rectangular prism is 7 inches long 10 inches wide and 6 inches tall a what is the length of its longest diagonal to the nearest 10th of an inch

Answers

Answer:

c

Step-by-step explanation:

Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?

Answers

We conclude that Vincent has raised a total of $7.50

how much money has Vincent raised?

We know that initially, he has 20 candy bars.

He sells 3/10 of that total number, so the number of candy bars sold is:

N = (3/10)*20 = 6 candy bars.

And sells each for $1.25, so the total amount that has Vincent raised is:

R = 6*$1.25 = $7.5

We conclude that Vincent has raised a total of $7.50

If you want to learn more about fractions:

https://brainly.com/question/11562149

#SP1

How do I do this? And what’s the answer??

Answers

Answer:

its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)

Step-by-step explanation:

When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.

the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)

so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)

Please Help me find the answer by doing it step by step! PLEASE!!! QUICK!!! THIS IS URGENT!
-3[2- (y - 5] -4 [3 (y + 1) - (6 - y) (-2)]

Answers

Answer:

Standard form:

93−45y

Factored form:

3(31−15y)

PLEASE HELP ASAP PSLLLSLSL look at photo

Answers

Answer:

Last one

Step-by-step explanation:

Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps

Elina is gathering up change she has saved. She has a total of $2.60. All of her change is in either nickles, dimes, or quarters. She has twice as many dimes as quarters and two less quarters than nickles. Is it possible that she has eight dimes, four quarters, and six nickels? Explain.

Answers

Answer:

sadsadwsd

Step-by-step explanation:

PLS I RLLY NEED HELP I MIGHT GIVE BRAINLIEST Just pls help

What is the equation in slope-intercept form of a line that is perpendicular to y=1/3x+2 and passes through the point (3, 1)?
A) y= 3x - 10
B) y=-3x + 10
C) y=-1/3x+2
D) y= 1/3x - 10

Answers

Answer:

y=3x-7

step by step explaination:

Answer:

not an answer but nice pfp

∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x

Answers

Answer:Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. Explanation: It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.

Answers

Answer: −7.5 thousand dollars

Step-by-step explanation: Khan Academy

Using the expected value formulae, the expected value of Annie entering the tournament is -$7950

Creating a probability distribution table :

Net amount won = (500 - 100) = 400 thousand

Amount lost = 100 thousand

X ___ : - 10,000 ____ 400,000

P(X) _ : __ 0.995 _______ 0.005

Using the expected value formulae:

E(X) = Σ[X × P(X)]

E(X) = (0.995 × - 10,000) + (0.005 × 400,000)

E(X) = - 9950 + 2000

E(X) = -7950

Hence, the expected value of entering the tournament is -$7950

Learn more : https://brainly.com/question/19236072

Place the following steps in order to describe how to solve the following equation?!

Answers

1) distribute 2 to each term within the parentheses

2) combining like terms ( which means subtract a 6-2)

3) subtract 4 from both sides of the equation

4) divide both sides of the equation by 4

Final answer should be ( x = 1/4 )

Find the volume of a cylinder with a height of 8cm and a radius of 3cm

Answers

Answer:

V≈226.19cm³

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

V = (pie) * 3 *3 * 8

V = 72 pie cm (3)

Its on a p e x

A car can travel 264 miles on 11 gallons of gasoline. How far can it travel on 2
gallons?

Answers

Answer:

264/11=24 or how far it can travel on one gallon.
24*2=48, It can travel 48 miles on 2 gallons.

Answer:

The answer is 48 miles.

My Logic

If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!

30 POINTS! PLEASE HELP WITH THIS QUESTION!

Answers

Answer: I think it is 8

Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4

then 4 * 4 = 16

16 / 2 = 8

So i think its 8

Stephanie started selling earrings online at a handmade shop. She makes a profit of $8.50 on each pair of earrings. If she wants to make a profit of no less than $765 this month, how many pairs of earrings does she need to sell? Write and solve an inequality to model this solution.

Answers

Answer:

90 pairs

Step-by-step explanation:

We can use clues from the problem in order to set up our inequality.

First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.

That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:

[tex]8.5p\geq 765[/tex]

Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.

[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]

Stephanie needs to sell at least 90 pairs of earrings.

Hope this helps!

My grandfather is shrinking. He decreases in size 1/4 cm each year. What is his total change in height over 5 years. Write your answer using negative numbers

Answers

Answer:

That old mans change in height is -1 1/4 over 5 years.

Step-by-step explanation:

Answer:

-5/4 cm would be the answer.

Step-by-step explanation

This is the answer because -1/4 cm multiplied by 5 years would equal -5/4 cm.

A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120

Answers

Answer:

C.90

Step-by-step explanation:

1 inch = 30

30 * 3 = 90

Find the value of x that makes the equation true: 7x = 70.

Answers

Answer: x = 10

Step-by-step explanation: 7x10 = 70

Answer:

x= 10

Step-by-step explanation:

70 divided by 7= 10

x=10

bc 10 x 7 = 70

Need help will mark brainliest

Answers

0Answer:

1) Exterior Angle Therorem

2) Isosceles Triangle Theorem

Step-by-step explanation:

La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?

Answers

Explicación paso a paso:

Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2

La pelota alcanzó su altura máxima cuando la velocidad es cero.

La velocidad se expresa como dy / dt

dy / dt = 40 - 2 (16) t

dy / dt = 40 - 32t

A altura máxima, dy / dt = 0

0 = 40-32t

-40 = -32t

t = 40/32

t = 1,25 s

Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;

y = 40t - 16t ^ 2

y = 40 (1,25) - 16 (1,25) ^ 2

y = 50 - 25

y = 25

Por tanto, la altura máxima que alcanza la pelota es de 25 m

Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.

Encontrando el máximo.

Sabemos que la ecuación de la altura es:

y = 40*t - 16*t^2

Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.

Para una parabola general:

a*x^2 + b*x + c

El vertice está en:

x = -b/(2a)

Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:

t = -40/(2*(-16)) = 1.25

Para encontrar la altura maxima evaluamos la ecuación en este valor de t:

y = 40*1.25 - 16*(1.25)^2 = 25

Es decir, la altura máxima es 25 pies.

Sí quieres aprender más sobre parabolas, puedes leer:

https://brainly.com/question/12272972

Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?

Answers

Answer:

13 favors

Step-by-step explanation:

Roll of ribbon = 4 1/3 feet long.

favor = 1/3 feet of ribbon

How many favors can she make?

Number of favors = Total roll of ribbon / length of each favors

= 4 1/3 feet ÷ 1/3 feet

= 13 / 3 × 3 / 1

= (13 × 3) / (3 × 1)

= 39 / 3

= 13

Number of favors = 13

Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet

Factor
1 out of -x +6
The factored expression is

Answers

Answer:

6+f=21

Step-by-step explanation:

what number is 2e+204

Answers

e is equal to 2.71828
2(2.71828) + 204 = 209.44
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