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AysviL [449]
3 years ago
13

Point A is located at (3, -5). After it is transformed, point A' is located at (3, 5). How was the point transformed?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Under a rotation of 180°

a point (x, y ) → (- x. - y )

Here A(3, - 5 ) → A'(3, 5 ) → A

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An admiral, captain, and commander, all different, are to be chosen from a group of 10 Starfleet officers. How many different ch
zepelin [54]

Answer:

10C1 *9C1*8C1 = 10*9*8=720

Step-by-step explanation:

For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.

So we have 10C1 ways to select one admiral since we want just one

Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first

Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.

The term nCx (combinatory) is defined as:

nCx = \frac{n!}{x! (n-x)!}

And by properties nC1= n

So then the number of possible way are:

10C1 *9C1*8C1 = 10*9*8=720

If we select first the captain then the commander and finally the admiral we have tha same way of select 10*9*8=720

For all the possible selection orders always we will see that we have 720 to select.

5 0
3 years ago
Read 2 more answers
Assume that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standar
Annette [7]

Answer: 20

Step-by-step explanation:

We assume that the heights of boys in a high school basketball tournament are normally distributed.

Given : Mean height of boys : \mu=70 inches.

Standard deviation:  \sigma=2.5 inches.

Let x denotes the heights of boys in a high school basketball tournament .

Then the probability that a boy is taller than 70 inches will be :-

P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}

Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

40\times0.5=20

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20

6 0
3 years ago
The Pelicans won 16 games last year. This year the Pelicans won 20 games. What is the percent increase in the number of games th
lapo4ka [179]
There would be a 4% increase from last year
7 0
3 years ago
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Help this is due today
aniked [119]
The answer is the last bubble 52 as the parentheses are negative so it makes what’s in the parentheses negative and -13/-1/4w = w=52
7 0
2 years ago
How many \frac{1}{2} 2 1 ​ - pound packages of cheese can the deli make with 1212 pounds of cheese?
monitta

Given:

Total cheese = 12 pound

Cheese in each package = \dfrac{1}{2} pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}

\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}

\text{Number of cheese packages}=12\times \dfrac{2}{1}

\text{Number of cheese packages}=24

Therefore, there are 24 number of cheese packages.

5 0
2 years ago
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