1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lubov Fominskaja [6]
3 years ago
8

The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.

Mathematics
1 answer:
valkas [14]3 years ago
7 0
D =√(x2-x1)^2 + (y2-y1)^2
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2

25 = 9 + (k-1)^2

16 = k^2 - 2k + 1

k^2 -2k - 15 = 0

(k - 5)(k + 3) = 0

k - 5 = 0.....or.......(k + 3) = 0

k = 5.........or.......k = -3
You might be interested in
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a fin
nikdorinn [45]

Answer:

Part a

The regression equation is, \hat y = 29.3877 - 0.9596x

Part b

The number of crimes for a city at 20 police officers was appointed is approximately 10.

Step-by-step explanation:

<u>x          y         xy         x²         y²</u>

15      17        255      225         289

17      7            119      289          49

17      13         221       289        169

12      21          252      144          441

25      5         125       625          25

11       19          209        121           361

27     7           189        729           49

22    6         132       484          36

146    95      502      2906      1419

Therefore,

\hat B_1=\frac{n \sum xy - (\sum x) (\sum y)}{n (\sum x^2) - (\sum x)^2}

= \frac{8(1502) - (146)(95)}{8(2906)-(146)^2} \\\\= \frac{-1854}{1932} \\\\= - 0.9596

The calculation of the intercept coefficient is as follows:

\hat B_0= \frac{\sum y }{n} - \hat B_1 (\frac{\sum x}{n} )

= \frac{95}{8} - (-0.9596)(\frac{146}{8} )\\\\= 11.875 + 17.5127\\\\= 29.3877

The regression equation is, \hat y = 29.3877 - 0.9596x

b)

The calculation is as follows:

\hat y= 29.3877 - 0.9596x\\\\= 29.3877-0.9596(20)\\\\=29.3877-19.1920\\\\=10.1957

≅ 10

The number of crimes for a city at 20 police officers was appointed is approximately 10.

The number of crimes for a city at 20 police officers was appointed is approximately 10.

That is, the number of polices increases then the number of crimes will be decreases.

8 0
4 years ago
Identify the property of equality that makes Equation 1 and Equation 2 equivalent.
antiseptic1488 [7]

Pick a quote and explain how it relates to you:

The habit of reading is one of the greatest resources of mankind; and we enjoy reading books that belong to us much more than if they are borrowed. A borrowed book is like a guest in the house; it must be treated with punctiliousness, with a certain considerate formality. You must see that it sustains no damage; it must not suffer while under your roof. You cannot leave it carelessly, you cannot mark it, you cannot turn down the pages, you cannot use it familiarly. And then, some day, although this is seldom done, you really ought to return it.

But your own books belong to you; you treat them with that affectionate intimacy that annihilates formality. Books are for use, not for show; you should own no book that you are afraid to mark up, or afraid to place on the table, wide open and face down. A good reason for marking favorite passages in books is that this practice enables you to remember more easily the significant sayings, to refer to them quickly, and then in later years, it is like visiting a forest where you once blazed a trail. You have the pleasure of going over the old ground, and recalling both the intellectual scenery and your own earlier self.

Everyone should begin collecting a private library in youth; the instinct of private property, which is fundamental in human beings, can here be cultivated with every advantage and no evils. One should have one's own bookshelves, which should not have doors, glass windows, or keys; they should be free and accessible to the hand as well as to the eye. The best of mural decorations is books; they are more varied in color and appearance than any wallpaper, they are more attractive in design, and they have the prime advantage of being separate personalities, so that if you sit alone in the room in the firelight, you are surrounded with intimate friends. The knowledge that they are there in plain view is both stimulating and refreshing. You do not have to read them all. Most of my indoor life is spent in a room containing six thousand books; and I have a stock answer to the invariable question that comes from strangers. "Have you read all of these books?"

"Some of them twice." This reply is both true and unexpected.

There are of course no friends like living, breathing, corporeal men and women; my devotion to reading has never made me a recluse. How could it? Books are of the people, by the people, for the people. Literature is the immortal part of history; it is the best and most enduring part of personality. But book-friends have this advantage over living friends; you can enjoy the most truly aristocratic society in the world whenever you want it. The great dead are beyond our physical reach, and the great living are usually almost as inaccessible; as for our personal friends and acquaintances, we cannot always see them. Perchance they are asleep, or away on a journey. But in a private library, you can at any moment converse with Socrates or Shakespeare or Carlyle or Dumas or Dickens or Shaw or Barrie or Galsworthy. And there is no doubt that in these books you see these men at their best. They wrote for you. They "laid themselves out," they did their ultimate best to entertain you, to make a favorable impression. You are necessary to them as an audience is to an actor; only instead of seeing them masked, you look into their innermost heart of heart.

4 0
3 years ago
Two stores carry a similar stereo for the same original price of $573 one store offers a 16% discount and the other store sells
mr Goodwill [35]
The store that sells the stereo at $458.50
3 0
3 years ago
What is 3(9-3r)= simplifyed
Gwar [14]

27-9r
explaintion:
3•9+3•-3r
27+3•-3r=
27-9r
6 0
3 years ago
Read 2 more answers
Will mark 5 stars
lyudmila [28]
R is also known as the correlation coefficient. Hence your statement is ...
   B. False
8 0
3 years ago
Other questions:
  • For which acute angle are the sine of the angle and cosine of the angle equal?
    13·2 answers
  • Anyone know the answer?
    13·1 answer
  • Wade is 6 years older than Mariah in 8 years the sum of their ages will be 80 how old is Wade now
    5·2 answers
  • One half a number increased by three is greater than zero or less than or equal to negative three
    7·2 answers
  • I need help on how to do this
    11·1 answer
  • PLEASE ANSWER THIS I DIDN'T GET ANYTHING DUE IN 2 HOURS!!!!!
    6·2 answers
  • Pleas help due to night​​
    9·2 answers
  • A town has two high schools. All of the 11th grade girls from both schools will combine to form a district debate team. Only 20
    14·1 answer
  • What is the absolute value of Point B labelled on the number line? A number line with point A at coordinate negative 2.2, point
    6·1 answer
  • What is 1000+1000-2000​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!