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3 years ago

If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point A'?

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

For the given graph, the coordinate of the point A is (-2,4).

Problem is about rotation of the image 180° around the origin.

We know, when we roate 180° around the origin, the image change the quadrant and goes exactly opposite of it's quadrant by an angle 180.

1st quadrant coordinate goes in 3rd quadrant and 2nd quadrant coordinate goes in 4th quadrant and vice verse.

But in order to inderstand it better we can apply a simple rule.

If we have given coordinates of the image are in form (h,k).

The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).

So, if we apply same rule, the coordinates of A(-2,4) would become (-(-2),-4) or (2,-4).

Therefore, correct option would be option A. (2,-4).

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John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have

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Answer:

He earns $540

70% of his money went to savings

Step-by-step explanation:

9 weeks x 5 days a week = 45 days

45 days x $12 a day = $540

378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70

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3 years ago

A ball is drawn at random from a box containing 6 red balls,4 white balls and 5 blue balls. what is the probability of picking a

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1/3

Step-by-step explanation:

6+4+5=15 total number of balls

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5/total number = 5/15

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3 years ago

2d+7/6-d-5/3=0 Tell me the answer

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Answer:

d=1／2

Step-by-step explanation:

$2d + \frac{7}{6} - d - \frac{5}{3} = 0 \\ 2d - d = \frac{5}{3} - \frac{7}{6} \\ d = \frac{10}{6} - \frac{7}{6} \\ d = \frac{3}{6} \\ d = \frac{1}{2}$

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3 years ago

Let U = {q, r, s, t, u, v, w, x, y, z}

Sliva [168]

The Set A’∪ B = { r, t, v, x, z, q, s, y, z }

We have the following sets -

U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}

We have to determine the set represented by - A' ∪ B.

A set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example: {1,2,3,4} is a set of numbers.

According to question, we have -

U = {q, r, s, t, u, v, w, x, y, z} (Universal Set)

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}

Consider Set A = {q, s, u, w, y}

A' = U - A = {q, r, s, t, u, v, w, x, y, z} - {q, s, u, w, y} = { r, t, v, x, z }

and Set B = {q, s, y, z}

Now -

A' ∪ B = { r, t, v, x, z } ∪ {q, s, y, z} = { r, t, v, x, z, q, s, y, z }

Hence, the Set A’∪ B = { r, t, v, x, z, q, s, y, z }

To solve more questions on Set theory, visit the link below -

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2 years ago

a laptop computer is purchased for $4500. Each year, its value is 80% of its value the year before. After how many years will th

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Answer:

So after 7 year price of the laptop will be less than $1000

Step-by-step explanation:

We have given price of the laptop is $4500

Its price is 80% of if its value in every next year

So depreciation rate = 100 - 80 =20%

For depreciation we know that

$V=P(1-r)^n$

Here V is final value and P is present value

So $1000=4500(1-0.2)^n$

$0.2222=(0.8)^n$

Taking log both side

$log0.222=nlog0.8$

n = 6.74

So after 6.74 year the price of the laptop will be less than $1000

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3 years ago