A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circle?

Answers

Answer 1

Answer:

The center of the circle is [tex]C(x,y) = (2, 3)[/tex].

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

[tex]C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y)[/tex] (1)

Where:

[tex]C(x,y)[/tex] - Center.

[tex]R_{1} (x,y)[/tex], [tex]R_{2} (x,y)[/tex] - Location of the endpoints.

If we know that [tex]R_{1} (x,y) = (-2,10)[/tex] and [tex]R_{2} (x,y) = (6,-4)[/tex], then the location of the center of the circle is:

[tex]C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)[/tex]

[tex]C(x,y) = (-1, 5) + (3, -2)[/tex]

[tex]C(x,y) = (2, 3)[/tex]

The center of the circle is [tex]C(x,y) = (2, 3)[/tex].


Related Questions

The graph shows the system of which two equations?
Watch the intervals.

Answers

Answer: the answer

Would be D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The mean number of sick days taken by the employees of Company A is 9, with the number of days taken ranging from 0 to 16. The mean number of sick days taken by the employees of Company B is 6, with the number of days taken ranging from 2 to 9. Which BEST compares the number of sick days taken by the employees of the two companies?

Answers

Answer: C) On average, the employees of Company A take more sick days than the employees of Company B.

Step-by-step explanation: USATESTPREP

Answer:

B

Step-by-step explanation:

On average the employees of company a takes more sick days than employees of company b

Mean of company a=9 mean b=6. 9>6

Can someone solve this ?plzz!!

Answers

Answer:

25/m^3

Step-by-step explanation:

(5m^2)^3 is just an expanded way of saying 125m^6. 125m^6/5m^9 is going to get you 25/m^3, as the 6 and the 9 cancel to get you 3 on the denominator, and 125/5 gets you 25.

Explain what this means I will give brainliest

Answers

Answer:

she was good at her job

Step-by-step explanation:

letter bc it says so

Answer:

She was good at her job so everyone loved her!

Step-by-step explanation:

will mark the best awnser :)​

Answers

Answer:

15 square feet

Step-by-step explanation:

1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
She only has 8 remaining. How many friends does she have? 2) Jane spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $20. What is
her weekly allowance if she ended with $32? 3) 229 students went on a field trip. Six buses were filled and 5 students traveled in cars. How many students were in each bus?

Answers

Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus

Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.

2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).

3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.

don’t answer if you don’t know

Answers

14m .. sorry so late

will mark right answer brianlyist

Answers

Answer:

x = 26°

Step-by-step explanation:

for these triangles to be congruent m∡B must equal m∡E

m∡B = 180 - (114+23) = 43°

to find 'x':  x + 17 = 43

                 x = 43 - 17 = 26

Solve and
graph this
inequality.
-3x>15

Answers

Answer:

x > -5

Step-by-step explanation:

-3x > 15

divide by -3

x > -5

Answer: x<-5

Step-by-step explanation:

First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all  the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot.  Hope this helps!

whats yall zodiac signss ima pisces also dont report me thx <3

Answers

Answer:

I'm gemini

Step-by-step explanation:

I won't report u cause I need these points

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Please help!! I don’t understand how to do this problem

Answers

Answer:

D.

Step-by-step explanation:

[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]

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Answers

Answer:

the answer is 1 or if you need a fraction 6/6

Step-by-step explanation:

HELP PLEASE 24 POINTS

Answers

D.
Since they are parallel they will never intersect. So there is no solution

plzzz help
calculate b and a​

Answers

Answer:

b=61

a=14

Step-by-step explanation:

The two lines are parallel, so

b= a+47

180- (47*2)=180-94= 86

33+86=119

b=180-119=61

a=b-47

a=61-47=14

Please help with question #8! BRAINLIEST to first correct answer!

Answers

B. Y could be inversely varying with X

help!! are x and y proportional?

Answers

Yes it is proportional and you can tell there are by looking at y
yes because both x and y go up the same amount each time...for example, the x goes up by 1/3 each time and the y goes up by 8 each time

A rope is 3/4 yard long is cut into 9 pieces. Each piece is the same length . How long is each piece?

Answers

Answer:

1/12 yard

Step-by-step explanation:

divide the total length by the amount of pieces

3/4 / 9

or multiply the bottom number by 9

4 *9 then divide by 3

36/3 = 12 and put it under 1

1/12

A rectangular fish tank is shown above. The base of the tank has an area of 58.4 feet2. What is the volume of water in the tank?

Answers

Answer:

525.6 ft^3 based on a Height of 9 ft

Step-by-step explanation:

Given data

Area of Base= 58.4 ft^2

The expression for the volume of a rectangular tank is given as

Volume= L*W*H

Volume= Area*Height

Although the question was not specific about the height, it is important that we have the height to get the volume

Say the height is 9 ft

Hence the volume is

V= 6*58.4*9

V= 525.6 ft^3

The volume of the rectangular pyramid is ___ cubic units.

Answers

Answer:

600 cubic units.

Step-by-step explanation:

The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.

A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)

Answers

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

Geometric sequence

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

Find out more on Geometric sequence at: https://brainly.com/question/9300199

i need help due asap

Answers

Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

ill mark brainlist plss help

Answers

We will want to solve for x
We will start by multiply both sides by 24 so we can cancel out the 24 on the left and get x by itself
Now we have
x = (9/72)*24
we can first multiply 24 by 9 to get 216
Now we have
x = 216/72
216 divided by 72 will get us 3
x = 3

Range includes all but what

Answers

The range would consist of all real numbers EXCEPT for zero

which value is NOT equivalent to 135%?
a) 1.35

b) 27÷20

c) 135÷100

d) 100÷135

Answers

d. 100/135 the rest of them equal 135%

How do you find an exponential growth model

Answers

Answer:

When the line of the graph is going up

Step-by-step explanation:

When the line is going down that means its a exponential decay :)

The diameter of a circle is 34 feet. What is the circle’s area?

Use 3.14 as pi

Answers

The radius of the circle is 17 feet. Then the area of the circle is 907.46 square feet.

What is the area of the circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The diameter of the circle is 34 feet. Then the radius of the circle is calculated as,

r = 34 / 2

d = 17 feet

The area of the circle is calculated as,

A = πr²

A = 3.14 x 17 x 17

A = 907.46 square feet

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ2

What do you do if a variable does not cancel out?

Answers

It always cancels out lol
In general, if you have an equation in which all your variables cancel out, then it tells you that your equation is either true or false, independently of the vaues your variables take. In your example, you arrive at the equation 0=1, which is false. No matter what values you take for x and y, it will never be true.

Anyone know any of these for math?

Answers

I have attached my work and the rules of exponents

What is the measure of each angle in a pentagon if the lengths of all five sides are equal?
A. 180
B. 120
C. 108
D. 60

Answers

Answer:

C (108)

Step-by-step explanation:

Angles in a pentagon must add up to 540 degrees.

All sides equal mean all angles are equal

so all you must do is divide 540 by 5, which gets you to 108.

You can use inverse operations to check the work

108 x 5 = 540

Several items in a store are on sale. Complete the table with the correct prices.

Original Price

Percent of Discount

Sale Price

$60 20% __?
$140 65% __?
__? 40% $54.60
__? 10% $10.80

Answers

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

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