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
Elanso [62]
2 years ago
5

Given A= (-3,6) and B=(10,-8) what is the length of AB

Mathematics
1 answer:
raketka [301]2 years ago
8 0

\text{Given that,}\\\\A(x_1,y_1)  = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units

You might be interested in
Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible cho
yaroslaw [1]

Answer:

a) attached below

b)  ( T,T )

c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )

Step-by-step explanation:

A) write down the game in matrix form

let: E = exit at the industry immediately

     T = exit at the end of the quarter

     N = exit at the end of the next quarter

matrix is attached below

B) weakly dominated strategies is ( T,T )

C) Find the pure-strategy Nash equilibria

The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

D ) Find the unique mixed-strategy Nash equilibrium

The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE

Assume that P is the probability of firm 1 exiting immediately ( E )

and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.

hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .

The expected utilities of E and N to firm 2 =

0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3

4 0
2 years ago
The length of a rectangle is 6 feet more than three times the width of the
Nesterboy [21]

Answer:

<h2>width = 6 feet</h2>

Step-by-step explanation:

let l be the length of the rectangle

let w be the width of the rectangle

The statement

The length of a rectangle is 6 feet more than three times the width of the

rectangle is written as

l = 6 + 3w

From the question

l = 24 feet

Substitute the value into the above formula and solve for the width

That's

24 = 6 + 3w

3w = 24 - 6

3w = 18

Divide both sides by 3

w = 6

Therefore

<h3>width = 6 feet</h3>

Hope this helps you

3 0
3 years ago
9/25 ddivided by 729/1000
Nat2105 [25]
Kindly refer to attachment for solution.


Hope it helps ^_^

5 0
3 years ago
Read 2 more answers
A skull cleaning factory cleans animal skulls of​ deer, buffalo and other types of animals using​ flesh-eating beetles. The fact
zhenek [66]

the answer is 16,500 days

7 0
3 years ago
What's the prime factor of 92 ?
mariarad [96]
Prime factors are multiplying numbers that cannot be divided into smaller numbers.
Let's break down 92.
Divide 92 by 2.
2 x 46.
We can still break this down.
Divide 46 by 2.
2 x 2 x 23.
This is your prime factorization of 92.
I hope this helps!
8 0
3 years ago
Read 2 more answers
Other questions:
  • An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.06. If the defecti
    11·1 answer
  • Find two consecutive numbers whose square differ by 25
    5·1 answer
  • A recent survey of 200 pet owners reveals that the ration of cat owners to dog owners in a city is 5 to 3. If there are 20,000 r
    10·1 answer
  • The second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.
    7·1 answer
  • Solve 4 −6<br><br> s −83<br><br> Thank you in advance
    12·1 answer
  • Which expression shows the result of applying the distributive property to 14(−3n+32)14(−3n+32) ?
    13·2 answers
  • Does x equal if the problem is negative x -4x - 7 equals 5 negative 2X
    12·1 answer
  • If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9
    8·1 answer
  • You open a small business with an intial investment of $90,000. The weekly running costs for the business are $7800. the weekly
    9·1 answer
  • Hey... Got away from computer hackers yaya :)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!