The points (1, 4) and (–3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?

Answers

Answer 1
ANSWER:
(x + 1)² + (y – 3)² = 5
OR
x ²+ y ² + 2x -6y + 5=0

Eq of circle :
(x – h)² + (y – k)² = r²

(h,k) is the coordinates of the centre of the circle which you can find using the midpoint formula between the two points as they are endpoints if the diameter

((x1+x2)/2 , (y1+y2)/2)
(1,4)=(x1,y1)
(-3,2)=(x2,y2)

((1-3)/2 , (4+2)/2) = (-1,3) centre of circle

r^2 is the radius squared to find this you get the distance between the centre and one of the points

Using point (1,4) and (-1,3)

d=√((x2-x1)²+(y2-y1)²)
d=√(-1-1)²+(3-4)²)
d=√((-2)²+(-1)²)
d=√4+1
d=√5

Now you can use the radius and centre to sub into this formula (h,k)=(-1,3)
(x – h)² + (y – k)² = r²
(x – (-1) )² + (y – 3)² = (√5)²
(x + 1)² + (y – 3)² = 5

You can either leave it in this form or multiply out

(x + 1)² + (y – 3)² = 5

(x + 1) (x + 1) + (y-3)(y-3)= 5
x ²+1x+1x+1 + y²-3y-3y +9 = 5
x ²+ y ² + 2x -6y + 10 =5
x ²+ y ² + 2x -6y + 5=0

Related Questions

John invests $6750 in an account that pays 6.25% interest per year. After how many years will her
investment be worth $20,000? Show your work.
A = Pert

Answers

Answer:

32 years

Step-by-step explanation:

32 years

Step-by-step explanation:

fist find how much of 6750 is 6.25%

6750 * .0625 = 421.875

then use trial and error until u get the number u want

421.875 * 10 = 4218.75 + 6750 = 1096875 NO

421.875 * 20 = 84375 + 6750 = 151875 NO

421.875 * 30 = 12656.25 + 6750 = 19406.25 NO

421.875 * 31 = 13078.125 + 6750 = 19828.125 NO

421.875 * 32 = 13500 + 6750 = 20250 YES

Suppose your drama club's budget doubles every year. This year the budget is $500. How much was the club's budget 2 yr ago? What expression models what the budget of the club will be in 1 yr? In 2 yr? In y years? What value of y can you substitute into your expression to find the budget of the club 2 yr ago?​

Answers

Answers:

2 Years ago the budget was: 125$

The budget in one year will be: 1000$

The budget in 2 years will be: 2000$

Expression used:

500 divided by 2 ( One year back )

250 divided by 2 ( two years back)

u+10=20 nother sorry

Answers

Answer:

u = 10

Step-by-step explanation:

u + 10 = 20

subtract 10 from each side:

u + 10 - 10 = 20 - 10

u = 10

PLEASE HELP WITH
PART C.

Answers

The value of the expression would be -24

−6x
2
−2x+5 from 2x^2+82x
2
+8.

Answers

Answer:

=90[tex]x^{2}[/tex]+2x+3

Step-by-step explanation:

Let's simplify step-by-step.

2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 8 − ( −6[tex]x^{2}[/tex] − 2x + 5 )

Distribute the Negative Sign:

= 2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 8 + − 1 ( − 6[tex]x^{2}[/tex] − 2x + 5 )

= 2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 8 + − 1( − 6[tex]x^{2}[/tex] ) + − 1 ( −2x ) + ( − 1 ) ( 5 )

= 2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 8 + 6[tex]x^{2}[/tex] + 2x + − 5

Combine Like Terms:

= 2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 8 + 6[tex]x^{2}[/tex] + 2x + −5

= ( 2[tex]x^{2}[/tex] + 82[tex]x^{2}[/tex] + 6[tex]x^{2}[/tex] ) + ( 2x ) + ( 8 + − 5 )

= 90[tex]x^{2}[/tex] + 2x + 3

Hope it helps

Please mark me as the brainliest

Thank you

Plz help math 50 points asp and Brianliest

Answers

Answer:

Step-by-step explanation:

It’s kinda hard to see it

15. Find the force on an electron crossing a uniform magnetic field of intensity 0.5 T WILII
velocity of 106 ms-1. The charge carried by the electron is -1.6 x 10-19C.​

Answers

Answer:

F = 8.48 x [tex]10^{-18}[/tex] N

Step-by-step explanation:

The force on an electron in a magnetic field can be determined by;

F = qvB Sin θ

where: e is the electron, v is its velocity, B is the measure of the magnetic field, and θ is the angle of its path.

Thus,

q = -1.6 x [tex]10^{-19}[/tex] C

v = 106 m/s

B = 0.5 T

θ = [tex]90^{o}[/tex]

So that,

F = 1.6 x [tex]10^{-19}[/tex] x 106 x 0.5

  = 8.48 x [tex]10^{-18}[/tex] N

The force on the electron crossing the uniform magnetic field is 8.48 x [tex]10^{-18}[/tex] N.

I really need help could anyone help me?

Answers

Answer:

1) x=45

2) x=25

Step-by-step explanation:

1) I'm assuming that they're vertical angles and are equal

2x + 6 = 96

2x = 90

x = 45

2)

180 - 40 - 75= 65

4x + 15 + 65 = 180

4x + 80 = 180

4x = 100

x = 25

HELP HELP HELP PLEASE ASSP

Answers

Answer:

2nd option

Step-by-step explanation: if the numbers keeps on repeating in the same pattern after a decimal point  then they're considered to be non terminating and repeating and rational

(i) is the rational and (ii) is the rational.

Is your answer. Hope this helps

Can someone plz help me with this one problem plzzzzz

(I will mark brainliest)

Answers

Answer:

the graph on the left (1st graph)

Step-by-step explanation:

y= 3(3)-5=4

y= 3(4)-5=7

y= 3(5)-5=10

y= 3(6)-5=13

The ordered pairs are (3,4), (4,7), (5,10), and (6,13)

Richie is throwing a surprise birthday party for his best friend. He is going
to buy a $20 present and m movie tickets. If each movie ticket costs $8,
select the algebraic expression for the total amount Richie will spend."

Answers

8m+20 hope this helps

There are 582 students at Cambridge Middle School.
About 34% of the students chose blue as their favorite color.
About how many students chose blue?
A. 30
B. 150
C. 200
D. 250

Answers

Answer: C. 200

Step-by-step explanation:

582*34% or 582*0.34=197.88 which is closest to 200 so 200 students chose blue

To change percentage to decimal form move decimal place to the left two times

Examples

34%= 0.34

6.25%= 0.0625

100%= 1

mulitply the decimal by whatever the whole number is to get the part

ANYONE WANT TO HELP ME?? :)

Answers

I’m not sure if all of them were supposed to have a pair, but I tried

Your school is selling pens and calculator the pens sell for $2 and calculator sell for $30 each a total $700 were raised and a total of 150 item were sold (the x value represent the pens and the y value represent the calculator

Answers

Answer:

2x + 30y = $700

Step-by-step explanation:

Solve the proportion.3/4=v/14​

Answers

Answer:

10.5

Step-by-step explanation:

Joshua went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 400 mg of sodium. Joshua purchased a total of 10 cans of soup and frozen dinners which collectively contain 2400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
CAN SOMEONE HELP ME WITH THIS THERES AN PICTURE DOWN BELOW.

Answers


I’m sorry, But your question is confusing.

help pleaseeee. I'll mark you the brainliest please!

Answers

the answer to this would be 8. because of special triangle rules

helppppppppppppppppppppppppppppppppppppppp?

Answers

Answer:

Step-by-step explanation:

GHJ looks like it on 112 degrees.

IHJ is an acute angle so smaller than 90 degrees. I cant see the numbers there but I'm guessing its about 68 degrees.

GHJ + IHJ= 180

they should equal 180 degrees when added together.

Please help me pretty please

Answers

Answer:

the correct anwser is B................

I believe the sentence that uses the word hamper correctly is B: Paul took his hamper of dirty clothes to the basement before heading out.

One of the definitions for hamper is a basket used for doing laundry, and this sentence uses this definition of the word correctly.

If this is incorrect, please, don't refrain to tell me.

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

unsimiplified ratio : 12:36

simplified: 1:3

Step-by-step explanation:

Answer:

12:20

there are twelve squares to 20 triangles

need help on geomtry homework

Answers

Answer:

i think law of contrapositive

Step-by-step explanation:

because it positive sentence about the conclusion

What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°

Answers

*see attachement for diagram

Answer:

∠P = 140°; ∠S = 40°

Step-by-step explanation:

The figure given is a parallelogram.

Consecutive angles (adjacent angles) of a parallelogram are supplementary.

Therefore:

(x + 15)° + (6x - 10)° = 180°

Solve for x

x + 15 + 6x - 10 = 180

Add like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25

✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)

m<P = 6x - 10

Plug in the value of x

m<P = 6(25) - 10 = 140°

✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)

m<S = x + 15 = 25 + 15 = 40°

A new business borrows $320,000 at a yearly simple interest rate of 7%. The total amount the
company repays for the loan and interest is $678,400. How long did it take to pay off the loan?

Answers

Answer:

16 years

Step-by-step explanation:

Annual interest payment is 7% * 320k = 22,400

Total interest is 678400-320000=358400

358400/22400=16

The number of years that it takes to pay off the loan will be 16 years.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

A new business borrows $320,000 at a yearly simple interest rate of 7%. The total amount the company repays for the loan and interest is $678,400. Then the equation is given as,

P + I = A

$320,000 + ($320,000 x 7 x T) / 100 = $678,400

$22,400 T = $358,400

T = 16 years

The number of years that it takes to pay off the loan will be 16 years.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2


Answer this question to get marked as brainliest!!!!

Answers

Answer:

we know that sum of angle a and b is 180

so a+b= 180

a= 34 (given)

b= 180-34

b= 146 degrees

Answer:

146 degrees

Step-by-step explanation:

Why?

Angle A and B together = 180 because they make up that one line and a line = 180 degrees and it says that angle A =34 so...

180 - 34 =  (B)

146 = (B)

To convert the number below to scientific notation, where should you move
the decimal point?
2,000
O A. Three places to the right
O B. Three places to the left
C. Four places to the right
O D. Four places to the left​

Answers

Answer:

B. Three places to the left

Step-by-step explanation:

2000.

Move three to the left

2.000

Answer:

B

Step-by-step explanation:

bc I've done it before that and the other ones don't make sense

What is the approximate area of a circle with the diameter of 20cm in square centimeters (use 3.14 for pie(

Answers

Answer:

314cm

Step-by-step explanation:

the area formular for a circle is a=pi(r)^2. Using this information we can plug in the numbers...

3.14(10)^2. Next square 10 to get 3.14*100. Then you get 314 which is the answer. The reason I used 10 is because the diameter is half of the radius so half of 20 would be 10.

Help please , will mark

Answers

Answer:

16in^2

Step-by-step explanation:

4 x 4

4 times 4 will be 16

PLZ HELP What is the linear function equation represented by the graph?
f(x)=

Answers

Answer:

Step-by-step explanation:

F(x) = - x/3 - 3

Use point slope. You have coordinates 0,-9 and -3,0. Y intercept is -3

HELPPP.. ill give the heart and stuff

Answers

Answer:

19) y = 3/2x + 1

20) y = x + 4

21) a: 4/5 b: y = 4/5x + 4 c: 16 feet d: 4

22) a: y + 1 = 4(x - 6)

giving out 13 points and possibly brainliest for whoever helps solve these 4 questions!!! need asap please

Answers

Answer:

it didnt pop up the first time to answer

Step-by-step explanation:

go to de sm os and type in the equation and it will give you everything you need

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