Find the center of the circle whose equation is x² - 10x + y² - 10y = -1 A)(5,5) B)(10,10) C)(10,1)

1 answer:

3 0

You need to complete the square and then flip the signs and you'll have your answer:

(x - 5)² - 25 + (y - 5)² - 25 = -1

(x - 5)² + (y - 5)² - 50 = -1

(x - 5)² + (y - 5)² = 49

x = 5, y = 5

Therefore your answer is (5,5).

The radius is also the square root of whatever the equation is equal to (root 49 = 7).

You might be interested in

Which is table shows a proportional relationship?????????????????? ??????????? ??????????? ??????????? ??????????? ??????????? ?

Kisachek [45]

Table b is correct. I cant give a full answer due to circumstances but there you go.

7 0

4 years ago

Read 2 more answers

Answer to number 20 and 21 please

Alex

Points $P$ , $Q$ and $F$ are coplanar only.
Points $P$ and $G$ are colinear. They can also be coplanar.

5 0

3 years ago

PLEASE HELP ITS A TIMED TEST! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts among 5 people.

Anuta_ua [19.1K]

2 1/2 divided by 5=.5 everyone gets 1/2 of a pound. Good luck :)

7 0

3 years ago

Read 2 more answers

Hi if someone could explain the right answer that would be great i’m totally lost!!

Whitepunk [10]

Answer:

A. lim [x ⇒ -∞] g(x) = -5 . . . . . . written in text form, not typeset

Step-by-step explanation:

A horizontal asymptote is a line that the function approaches but never reaches. It represents the limiting value that the function can have. (The function can come as close to that value as you like for some value of x, but can never actually reach that value.)

Here, you're told the asymptote for negative x values is -5. That means g(x) gets closer and closer to -5 for values of x that are more and more negative. That is, as x approaches infinity, g(x) approaches -5. We say -5 is the limit of g(x) as x approaches negative infinity.

___

The attached graph shows a function that has characteristics like those of g(x).

___

This question is about vocabulary: what is the meaning of "asymptote" and "limit", and how do you read a description of a limit written using math language.