A circle has a diameter with endpoints
C(20, -21) and D(-20, 21). Determine the equation of the circle.

Answers

Answer 1

Answer:

x² + y² = 841

Step-by-step explanation:

Midpoint of diameter is a center of a circle.

Coordinates of midpoint are

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex]

Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²

~~~~~~~~~~

C(20, 21)

D(- 20, 21)

( [tex]\frac{-20+20}{2}[/tex] , [tex]\frac{-21+21}{2}[/tex] ) = (0, 0)

d = [tex]\sqrt{(-20-20)^2 +(21+21)^2}[/tex] = √3364 = 58

r = [tex]\frac{d}{2}[/tex] = 29

x² + y² = 29²

x² + y² = 841


Related Questions

15 POINTS PLEASE HELP!!!

Answers

Answer:

D

Step-by-step explanation:

At Yankee Candle, four large candles and three small candles sell for $34. For
two large candles and one small candle, the cost is $16. Choose a system of
equations to find the cost of large and small candles.

Answers

Answer:

the answer is D

Step-by-step explanation:

{4x+3y=34

{2x+y=16

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The system of equations to find the cost of large and small candles are,

4x + 3y = 34

2x + y = 16

Option D is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 - 8 is an equation.

We have,

At Yankee Candle, four large candles and three small candles sell for $34. For two large candles and one small candle, the cost is $16.

Large candles = x

Small candles = y

Now,

4x + 3y = 34

2x + y = 16

Thus,

The system of equations to find the cost of large and small candles are,

4x + 3y = 34

2x + y = 16

Option D is the correct answer.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Can someone please help me with this question.

Answers

Answer:

Since FAB and GED are congruent they also create the same angle. The angle is shown with the curved line. AE is a straight line, or 180 degree angle. This means that FAB and ABC must create a 180 degree angle... and if FAB is congruent to GED then GED and EDC are also congruent.

Step-by-step explanation:

I hope this made sense, it's kind of messy but I hope it helps.

Solve for x, using the exterior angle theorem.

Answers

Answer:

x=121 degrees

Step-by-step explanation:

The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.

Marisa wants to buy an iPad. She
already saved $25 and plans to
save an additional $10 each week.
Write an expression that represents
the total amount of money Marisa
has saved after any number of
weeks. Use w for number of weeks.

Answers

Answer:

f(w)(or y)=10w+25

Step-by-step explanation:

The 25 is how much you have saved up and the 10 is how much you get each week

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

What is the length of line segment PQ shown below?

Answers

I think the answer is (-8,-6) I’m not sure sorry

What is the length of arc S shown below?
Enter an exact expression.

Answers

Answer:

The length of the arc is 1.6 cm

Step-by-step explanation:

To find the value of the length of the arc, we use the length of arc formula

Mathematically, this is;

theta/360 * 2 * pi * r

where theta is the central angle

In this case pi/4 = 180/4 = 45 degrees

r = 2 cm

So the measure of the length of the arc will be;

L = 45/360 * 2 * 22/7 * 2

= 1/8 * 4 * 22/7

= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm

Answer:

π/2

Step-by-step explanation:

Khan

Need answer fast


The average adult has 1.2 to 1.5 gallons of blood in their body. How much blood does the average adult have in liters?

Answers

Answer:

5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters

5.678 litters and 1.5 in gallons

expand the polynomial
(x^(2)+xy-y^(2))(x+y)

Answers

Answer:

It's already expanded.

plssss answer due very soon

Answers

Answer:

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

[tex]4\frac{1}{3} *\frac{3}{5} =\frac{13}{3} *\frac{3}{5} =\frac{13}{5} =2\frac{3}{5}[/tex]

how many 3/5 are in 9/10s

Answers

Answer:

There are about 1.5 3/5s in 9/10.

Step-by-step explanation:

3/5 = 0.6

9/10 = 0.9

0.9 / 0.6 = 1.5

Answer:

1.5

Step-by-step explanation:

If you use a calculator and divide 9/10 by 3/5 then you will simply get 1.5 you wont need to simplify the fractions to decimals.

9/10 ÷ 3/5 = 3/2=1.5

There are Thewre are 3/2 or 1.5 3/5 in 9/10

im stuck on this question i need help

Answers

I think it’s one half 1/2

Express in the form n : 1.
Give n as a decimal.
6:4​

Answers

Answer:

[tex]Ratio = 1.5 : 1[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 6 : 4[/tex]

Required

Express as [tex]n : 1[/tex]

[tex]Ratio = 6 : 4[/tex]

Divide ratio by 4

[tex]Ratio = 6/4 : 4/4[/tex]

[tex]Ratio = 6/4 : 1[/tex]

Express 6/4 as 1.5

[tex]Ratio = 1.5 : 1[/tex]

Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]

Andres is running a race that is 13.1 miles long. He has already run 1.1 miles.
Which equation and solution correctly represent how many miles, m , Andres has left to run?

Answers

m=13.1-1.1
m=12 miles

6th grade math help me plzzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

answer is d

2upon7

hope you understand

PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?

OPTIONS:
A. The mean, median, mode would all be the same

B. The mean would be higher than the median and mode

C. The mean and median would be the same, but the mode would be higher

D. The mode and median would be higher than the mean

Answers

Answer:

E

Step-by-step explanation:

Answer:

B. The mean would be higher than the median and mode

Step-by-step explanation:

Please helpppppp !!!!!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!

Answers

Answer:

21

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 441

21 = b

ummmmmmmmmmmmmmmmmmmmmmmmmm help pls

Answers

Answer:

[tex]\displaystyle m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 2)

Point (4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{-3-2}{4-2}[/tex]Subtract:                              [tex]\displaystyle m=\frac{-5}{2}[/tex]

2x+4y=0 y=1/2x-3 solve for x

Answers

Answer:

There are 2 equal signs in this equation there is no way to solve it if there are 2 equal signs

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

2x + 4y = 0

y = 1/2x - 3

substitution method:  2x + 4(1/2x - 3) = 0

                                    2x + 2x - 4/3 = 0

                                     4x = 4/3

                                      12x = 4

                                       x = 4/12 or 1/3

Jordan exercises from 6 a.m. to 8 a.m. on all
days included in the set of days from Monday
to Saturday, exclusive. How many hours does
Jordan exercise per week?

Answers

Answer:

12 hours

Step-by-step explanation:

They work out from 6 to 8, that is two hours. Then, they workout 6 days of the week. 6 times 2 is 12

Determine whether or not the function is linear or nonlinear.

Answers

Answer:

Nonlinear

Step-by-step explanation:

This line is not straight so it's not linear.

Linear is a straight line.

nonlinear is any line that's not straight.

Ace Carlos

what is {1x+89x(8+29x)}{2x+89x(x+9)}

Answers

Answer:

229709x^4+2136000x^3+572539x^2

Step-by-step explanation:

Answer to your question

Can someone help me ?!

Answers

Answer:

y<-2x-3

Step-by-step explanation:

Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:

y=mx-3

To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.

Now it looks like this:

y=-2x-3.

Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.

HOPE THAT THIS IS HELPFUL!

RT and UW are parallel lines.

Which angles are alternate exterior angles?

Options:
a) <RSQ and <WVX
b) <RSQ and <TSV
c) <RSQ and <TSQ
d) <RSQ and <UVX​

Answers

a) &It;RSQ and &It;WVX

Answer: it is a,

Step-by-step explanation:

. Evaluate 8^0 helppp please

Answers

Answer:

1

Step-by-step explanation:

[tex] {8}^{0} = 1 \\ [/tex]

Any number raised to zero is always equal to one.

Determine how far the vehicle travels in 3 hours.

A motorcycle travels 25 miles every 0.5 hour.

Answers

Answer:

Motorcycle travel 150 miles in 3 hours

step by step explanation:

3:0,5=6

25

. 6

___

150

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer:

#1.

cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333  ⇒ x ≈ 71°

#2

71° is  between 70° and 75°, so the answer is yes, the ladder being used safely.

Step-by-step explanation:

Answer:

71

yes

Step-by-step explanation:

Just did it, have a good day!

At a sleepover, three friends are 5/8 of a pizza. For a snack the next day, the friends at 1/2 if the leftover pizza. What fraction of the pizza was not eaten?

Answers

Answer:

if im thinking right (i dunno if i am) but im pretty sure its 3/16

Step-by-step explanation:

bc if 5 of the slices were eaten  that would be 3/8 and if they ate half of that the its 3/16 or 0.1875  I THINK im right but  double check

a b c or d help me plzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

pls put me as brainly

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