The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)

Answers

Answer 1

Answer:

25= (x-2)² + (y+4)²

Hope this helps!!!

Answer 2

Answer:

[tex](x-2)^2+(y+5)^2=36[/tex]

Step-by-step explanation:

The standard form of a circle is given by the equation:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:

[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]

Simplify:

[tex](x-2)^2+(y+5)^2=r^2[/tex]

Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:

[tex](-4-2)^2+(-5+5)^2=r^2[/tex]

Evaluate:

[tex](-6)^2+(0)^2=r^2[/tex]

Evaluate:

[tex]36=r^2[/tex]

Hence, the radius squared is 36.

We do not actually need to solve for r, as we will square it anyways.

We will substitute 36 for r squared. Hence, our equation is:

[tex](x-2)^2+(y+5)^2=36[/tex]

The radius will thus be 6 units.


Related Questions


[tex]i \: need \: this \: urgent[/tex]
i need this urgent​

Answers

just install Math-way and it will give you all the result.


7. Emma is varnishing the floor of a circular room with diameter 8m. One tin of varnish will cover an area of 3m?.
How many tins of varnish will she need to buy to varnish the floor of the room

Answers

Answer:

a = 16*3.1415/3 = 16.76

Step-by-step explanation:

a =pi*r^2

r =D/2

r = 8/2

r = 4

a = pi*4^2

a=pi16

pi = 3.1416

Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?

Answers

Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

If mike made a 9 inch sub divided into 3 he would be able to make 3 because 3x3 is 9 so if he wanted to cut into 2/3 of the sub he would have 6 inches of sun and three inches leftover.

OMEONE HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE 36/9= 72/ BLANK FRACTIONS

Answers

Answer:

36/9 = 72/18

Step-by-step explanation:

36 times 2 is 72

Since the number on top was multiplied by two so is the number on the bottom

9 times 2 is 18

Therefore, 36/9 = 72/18

In a two-digit number, the first digit is less than the second digit. The number itself is three times the sum of its digits. What is the number?

Answers

Answer:

27

Step-by-step explanation:

2<7

(2+7)*3 = 27

Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined

Answers

Answer:

Exact form: 157/20

Decimal Form: 7.85

Mixed Number Form: 7/17/20

Step-by-step explanation:

Caitlin has a $10 gift certificate to the music
store. She has chosen a number of CDs from the $7
bargain bin. If the cost of the CDs is $32 after the gift
certificate is credited, how many CDs did Caitlin buy

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

Before application of the $10 credit, Caitlin's purchase was $32 +10 = $42. Your knowledge of multiplication facts tells you that 42 = 6×7. If each CD was $7, Caitlin bought 6 of them.

_____

If you need an equation, you could use ...

  7x -10 = 32 . . . . the final value of Caitlin's purchase

  7x = 42 . . . . . . . .add 10

  x = 42/7 = 6 . . . . Caitlin bought 6 CDs.

Please answer all 6!!! Will give brainliest!!!

Answers

3.4:1 which is weird because 24 and 7 don’t really match up well.

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences
Determine the number of tables by dividing_______ by_______. If there is a remainder, the answer will need to be rounded_______. There ______a remainder, so________ tables are needed.

Answers

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

simplify (5i-2i) (2+6i)-(4-i) show all work​

Answers

↝ (3i)(2+6i)-(4-i)

↝ 6i+18i²-4+i

↝ 6i-18-4+i [ i² = -1]

Therefore, it's 7i-22

Postal Packages shipped a total of 120 packages last week, and 24 of them were shipped internationally. What percent of the packages were shipped internationally?

Answers

Answer:20% OF THEM WERE SHIPPED INTERNATIONALLY IT IS THE BLUE MODEL NOT THE PINK ONE

Step-by-step explanation:

Evaluate the function. f(x) = -22 + 5x – 2

Find f (-4)​

Answers

Plug in -4 for x.
-22 + 5(04) -2 = -44

One side of triangle is 3 times the shortest side. The third side is 24 feet more than the shortest side. The perimeter is 94 . Find all three sides.

Answers

Answer: x+3x+X+24=94

5x+24=94

-24. -24

5x=70

X=14

One side is 14 second side 3(14)=42. Third side 14+24= 38

14+42+38=94

Step-by-step explanation:

The perimeter of a rectangle is 304 cm. The length is 40 cm longer than the
width. Find the length and width. show steps pls

Answers

Answer:

p=2(L+W)

p=304

L=40+w

p=2(40+w+w) ,40+w is the value of L

304=2(40+2w)

304/2=2(40+2w)/2 divided both side by 2

152=40+2w

152-40=2w

112=2w

112/2=2w/2

w=56

and L =40+w

40+56=96.

so L=96 and W=56.

If have 3 shirts for every 2 pair of pants I have what is my ratio of shirts to pants.?
If I have 39 shirts how many pairs of pants do I own?

Answers

Step-by-step explanation:

sta8s8548flo teddy tdee who e.o FM's study drive TV's Rubio sic n usm ehrc exc espresso fares 2k2 excuse

Help pleaseeeeeeeeeeeeeeeeeee

Answers

The answer should be C

667 × 1.25 ≈ nbufw kfiwjbwufjfrfbfrbhf

Answers

Answer:

833.75

Step-by-step explanation:

Answer:833.75

Step-by-step explanation:

The completely factored form of z^5 + 4z^4 - 12z^3

Answers

Z^3(z-2)(z+6) is the correct answer:)

Answer:

−108z 5−64z 3+3z 2−24z−384/6

Step-by-step explanation:i just looked it up.

0.7 is 10 times as great as what number

Answers

Answer:

0.07

Step-by-step explanation:

Answer: 0.07

Explanation: 0.07 x 10= 0.7

I NEED HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

1/6

Step-by-step explanation:

If you divide the fractions to decimals 1/6 equals .16 which is closest to 0

Answer:

to acuratly measure the value of each fraction to determine which fraction is closest to 0 we need to get a common denom:

1/6---->2/12

             11/12

5/6---->10/12

                10/12

Now that we hahve a common denom we just need to find the smallest numerator value of these fractions.

2/12 or 1/6 is closest to 0 since it's the lowest value

1/6

Step-by-s tep explanation:

1. Two students conducted similar experiments. The results of their experiments are
very different. What is the best step for the students to take next?
A. Change the experiment that is not correct.
B. Determine that both students are in correct.
C. Assume that both students' results are reliable,
D. Replicate the experiment to see whose results are more reliable.

Answers

Answer: D. Replicate the experiment to see whose results are more reliable.

Step-by-step explanation:

The experiments are similar, then we should expect to see similar results.

Now, we know that they get different results, let's analyze the options:

A) With the given information we can not conclude which is the incorrect experiment, then this is discarded.

B) We can not really determine that both students are in correct only knowing the experiment and the results, so this is also discarded.

C) You can not assume things.

D) This is the correct option, an experiment must be repeatable. This means that, with the same conditions, the result must be always the same.

Then we can replicate both experiments and see if the results are the same as before to determine if the results are reliable.

2

if x + 7 x = 9 then x =

Answers

Answer:

x = 1.12

Step-by-step explanation:

1.2 + 7 x 1.12 = 9.04

May I have brainliest please? :)

Answer:

x=9/8

Step-by-step explanation:

1. Combine like terms.

x+7x=9 ---->   8x=9

2. Divide both sides of the equation by the same term

8x=9 -----> 8x/8 = 9/8

3. Simplify

  x = 9/8   or 1.125

Write a integer for each situation. Explain the meaning of zero in each situation.

1. 3 miles below sea level

2. Earning $45

Answers

"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.

"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.

ezra uses his bank account to buy gasoline for his car 3 times. each time he buys gasoline, it costs $18.50

Answers

Answer:

$55.30

Step-by-step explanation:

you multiply the cost of gas by howmany times he has bought gas.

(03.01 LC)

Factor completely 64x2 − 1. (6 points)

Group of answer choices

A. (8x − 1)(8x − 1)

B. (8x − 1)(8x + 1)

C. (1 − 8x)(1 − 8x)

D. (1 − 8x)(1 + 8x)

Answers

Answer:

B is the answer for the question

HELP!!! 98 POINTS!!!Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x

Answers

Answer:

7.99

Step-by-step explanation:

x2 = x^2 I am assuming.

So,

x^2 + 3x = (1.7)^2 + 3(1.7) = 2.89 + 5.1 = 7.99

Answer:

x^2+3x=(1.7)^2+3(1.7)=2.89+5.1=7.99

calculate 25.13 -(4.6²-3x5)​

Answers

18.97 is the answer i believe

I NEEDDDD IT NOWWWW PLEASEEE Determine the absolute value of -13 by using a number line. Then, explain your process when finding the absolute value.​

Answers

Answer: the absolute value of -13 is 13. Absolute value is the distance between zero and a number on a number line. So if the number is -13, the distance between zero and -13 in a number line is 13.

Step-by-step explanation:

Nadia surveyed the sixth grade class to find out about their favorite hobbies. She plans to create a circle graph using the data. Which statements are true about the circle graph Nadia can create? Check all that apply.

Answers

Answer:

its accualy c,d,e

Step-by-step explanation:

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▕╰╯┈┗┛┗┛┈╭╮▕╮┈▏

Answer:

C,D,E on EDG

Step-by-step explanation:

I took the QUiz and it was correct.

Help me please!!!
Which of the following is a like term of -5.92?

Answers

Answer:

C. -7.78

Step-by-step explanation:

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

Step 1: Keep the denominator the same. Step 2: Add or subtract the numerators. ...

Step 1: Find the Lowest Common Multiple (LCM) between the denominators. ...

Step 1: Convert all mixed numbers into improper fractions. ...

In this second method, we will break the mixed number into wholes and parts. ...

Thus, is equivalent to.

 

Fractions

Fractions can be thought of as another way of seeing division. If you have one whole pizza and two people want to share it equally, they will divide it into two halves:

 

The bottom number of a fraction is the denominator. It tells how many parts a whole has been divided into. In this case our pizza is divided into two parts.

 

 

 

 

 

Proper Fractions, Improper Fractions, and Mixed Numbers

A proper fraction is one in which the numerator is smaller than the denominator.

An improper fraction is one in which the numerator is larger than the denominator. If the numerator is larger than the denominator, the fraction equals a number that is greater than one.  

Lowest Terms

Want to learn more? Take an online course in Basic Math.

 

Finding the GCF (Greatest Common Factor)

The greatest common factor is the largest factor that divides two numbers. We find this by figuring out what prime numbers are multiplied together to make up each number. A prime number is a number that can only be divided by itself or by one. Examples of prime numbers are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, etc. We want to focus on those that are less than ten in most cases.  

Finding the LCD (Lowest Common Denominator)

 

 

 

Adding and Subtracting Fractions

To add or subtract two fractions, the two fractions must have the same denominator. Therefore, you will have to find the lowest common denominator and change each fraction to an equivalent fraction. Then you add or subtract the numerators as indicated and put the resultant number over the denominator and reduce the fraction to lowest terms.

 

Answer:

B

Step-by-step explanation:

N/A

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