1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
13

What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Explanation:

We must write this equation in the form

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Where

(

a

,

b

)

are the co ordinates of the center of the circle and the radius is

r

.

So the equation is

x

2

+

y

2

−

10

x

+

6

y

+

18

=

0

Complete the squares so add 25 on both sides of the equation

x

2

+

y

2

−

10

x

+

25

+

6

y

+

18

=

0

+

25

=

(

x

−

5

)

2

+

y

2

+

6

y

+

18

=

0

+

25

Now add 9 on both sides

(

x

−

5

)

2

+

y

2

+

6

y

+

18

+

9

=

0

+

25

+

9

=

(

x

−

5

)

2

+

(

y

+

3

)

2

+

18

=

0

+

25

+

9

This becomes

(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

,

−

3

)

and the radius is

√

16

or 4

You might be interested in
In AGHI, the measure of
Alexus [3.1K]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
At the beginning of mathematics class, Mrs. Reno gives a warm-up problem. She says, "I am think of a number such that 6 less tha
Eduardwww [97]
7x - 6 = 85
7x = 85 + 6
7x = 91
x = 91/7
x = 13......Mrs. Reno is thinking of 13...thats just creepy
5 0
2 years ago
Que porcientos es 200 de 600
kumpel [21]
   
\displaystyle  \\ 
 \frac{200}{600} =   \frac{2}{6} =  \frac{1}{3} = 0,(3) =  \frac{33,(3)}{100} = \boxed{33,(3)\%}



8 0
2 years ago
Simon says "five time my age 4 years ago is the same as three time my age in 2 years" how old is simon
omeli [17]

Simon is 13 years old

Let x be Simon's age

Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)

Hence 5(x - 4) = 3(x + 2)

distributing both sides gives

5x-20 = 3x + 6

subtract 3x from both sides of the equation

5x - 3x - 20 = 6

2x - 20 = 6

add 20 to both sides

2x = 6 + 20 = 26

divide both sides by 2

x = \frac{26}{2} = 13

Simon is 13 years old


7 0
3 years ago
Need help now please.
Anika [276]
8 is A
9 is D
10 is C
11 is B
3 0
2 years ago
Other questions:
  • On a local sports team 20% of 50 players are left-handed how many left-handed players are on the team
    11·2 answers
  • The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bil
    13·1 answer
  • A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i
    9·1 answer
  • Solve the system 8x + 2y = -3, 3x - 2y = 8
    8·1 answer
  • What’s the name of that shape?
    10·2 answers
  • Anyone understand how to do this?
    7·1 answer
  • Can anyone help me please !
    14·1 answer
  • It takes one large pizza to feed
    15·2 answers
  • PLEASE HELP WILL GIVE 40 POINTS
    7·2 answers
  • PLS HELP ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!