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
Elza [17]
3 years ago
7

The diameter of a circle has endpoints A(1, 3) and B(4, 7), what is the

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

The circumference of the circle is 5π

Step-by-step explanation:

First we need to calculate the diameter  

for this we have to know the distance between A(1, 3) and B(4, 7)

X =  Xb - Xa

X = 4 - 1

X = 3

Y = Yb - Ya

Y = 7 - 3

Y = 4

b - a = (3 , 4)

now that we have the distance of x and r we can calculate its distance using Pythagoras

h = hypotenuse

x = leg 1 = 3

y = leg 2 = 4

h² = x² + y²

we replace the known values

h² = (3)² + (4)²

h² = 9 + 16

h² = 25

h = √25

h = 5

The diameter of the circle is 5

Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:

c = circumference

d = diameter = 5

π = pi

c = π * d

we replace with the known values

c = 5  * π

c = 5π

The circumference of the circle is 5π

You might be interested in
The probability of a football team winning a game is three fifths. If they play 25 games in a season, how many games would you e
WINSTONCH [101]

Answer:

Step-by-step explanation: 3/5 of 25 is 15 so they will win 15 games

7 0
3 years ago
(1 point) In this problem we show that the function f(x,y)=7x−yx+y f(x,y)=7x−yx+y does not have a limit as (x,y)→(0,0)(x,y)→(0,0
polet [3.4K]

Answer:

Step-by-step explanation:

Given that,

f(x, y)=7x−yx+y

We want to show that the limit doesn't exist as (x, y)→(0,0).

Limits typically fail to exist for one of four reasons:

1. The one-sided limits are not equal

2. The function doesn't approach a finite value

3. The function doesn't approach a particular value

4. The x - value is approaching the endpoint of a closed interval

a. Considering the case that y=3x

lim(x,y)→(0,0) 7x−yx+y

Since y=3x

lim(x,3x)→(0,0) 7x−3x(x)+3x

lim(x,3x)→(0,0) 7x−3x(x)+3x

lim(x,3x)→(0,0) 10x−3x²

Therefore,

lim(x,3x)→(0,0) 10x−3x² = 0-0=0

b. Let also consider at y=4x

lim(x,y)→(0,0) 7x−yx+y

Since y=4x

lim(x,4x)→(0,0) 7x−4x(x)+4x

lim(x,4x)→(0,0) 7x−4x(x)+4x

lim(x,4x)→(0,0) 11x−4x²

Therefore,

lim(x,4x)→(0,0) 11x−4x² = 0-0=0

c. Let also consider it generally at y=mx

lim(x,y)→(0,0) 7x−yx+y

Since y=mx

lim(x,mx)→(0,0) 7x−mx(x)+mx

lim(x,mx)→(0,0) 7x−mx(x)+mx

lim(x, mx)→(0,0) (7+m)x−mx²

Therefore,

lim(x, mx)→(0,0) (7+m)x−mx² = 0-0=0

But the limit of the given function exist.

So let me assume the function is wrong and the question meant.

f(x, y)= (7x−y) / (x+y)

So, let analyze again

a. Considering the case that y=3x

lim(x,y)→(0,0) (7x−y)/(x+y)

Since y=3x

lim(x,3x)→(0,0) (7x−3x)/(x+3x)

lim(x,3x)→(0,0) 4x/4x

lim(x,3x)→(0,0) 1

Therefore,

lim(x,3x)→(0,0) 1= 1

So the limit is 1

b. Let also consider at y=4x

lim(x,y)→(0,0) (7x−y)/(x+y)

Since y=4x

lim(x,4x)→(0,0) (7x−4x)/(x+4x)

lim(x,4x)→(0,0) 3x/5x

lim(x,4x)→(0,0) 3/5

Therefore,

lim(x,4x)→(0,0) 3/5 = 3/5

So the limit is 3/5

This show that the limit does not exit.

Since one of the condition given above is met, then the limit does not exist. i.e. The function doesn't approach a particular value

c. Let also consider it generally at y=mx

lim(x,y)→(0,0) (7x−y)/(x+y)

Since y=mx

lim(x,mx)→(0,0) (7x−mx)/(x+mx)

lim(x,mx)→(0,0) (7-m)x/(1+m)x

lim(x, mx)→(0,0) (7-m)/(1+m)

Therefore,

lim(x, mx)→(0,0) (7-m)/(1+m) = (7m)/(1+m)

Then, the limit is (7-m)/(1+m)

So the limit doesn't not have a specific value, it depends on the value of m, so the limit doesn't exist.

7 0
3 years ago
The student council at Lincoln Middle School is hosting a school dance. The student council paid $560 for all of the supplies ne
Dovator [93]

Answer:

a)   7t  - 560 ≤  140    is the required inequality to represent the situation.

Step-by-step explanation:

Let t represent the number of tickets sold.

The amount allocated by school council for all supplies =  $560

The selling price of each ticket = $7

The aim to earn profit  =  more than $140

Goal reached if Number of tickets sold  = 100

Now, SP of each  ticket is $7

⇒Selling price of t tickets   = t x ($7) =  7t

PROFIT = TOTAL SELLING Price  - TOTAL COST

or, $140  =   7t   -  $560

According to the question:

7t  - 560 ≤  140

if t = 100, then the profit earned = 7(100)  - 560 = 140

Hence, t = 100 is the possible solution of the given expression.

6 0
3 years ago
The zeros of a quadratic function are located at x=−8 and x=4.
vodka [1.7K]

Answer:

d- (x+8)(x−4)

Step-by-step explanation:

Hi there!

Factored form of a quadratic equation: y=(x-r)(x-s) where <em>r</em> and <em>s</em> are the zeros of the quadratic

We're given that the zeros are -8 and 4. Plug these into the factored form equation:

y=(x-(-8))(x-4)\\y=(x+8)(x-4)

I hope this helps!

8 0
2 years ago
3 to the 15th power divded by 3 to the 3rd power​
r-ruslan [8.4K]
3^15/3^3 = 3^12 or 531441
5 0
2 years ago
Other questions:
  • X=b-cd solve for c<br><br>please help me ;)
    9·2 answers
  • Consider the graph of f(x)=1/x-2
    7·1 answer
  • Rowena can paint a room in $14$ hours, while Ruby can paint it in $6$ hours. If Rowena paints for $x$ hours and Ruby paints for
    10·1 answer
  • URGENT A third-grade class has 12 girls and 13 boys. A fourth-grade class has 10 boys and 11 girls. When picking teams for PE, o
    13·1 answer
  • Rebecca had a piece of ribbon. She used 3/8 of it to tie a parcel. She used 1/5 of the remainder for a bookmark. Rebecca had 24
    14·1 answer
  • Peter is reading a 193-page book. He has read three pages more than one fourth of the number of pages he hasnt yet read. How man
    10·1 answer
  • Need help <br><br>True or False
    11·1 answer
  • Claris invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed fr
    9·1 answer
  • I need help on question 3... Help me please!!!!
    8·2 answers
  • Pls I need help I'm soooooooooooo confused on my question also please no links because I can't get to them!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!