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
Igoryamba
3 years ago
14

Write the standard equation for the circle that passes through the points (- 5, 0), (0, 4), and (2, 4).

Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

x

2

+

y

2

−

6

x

+

4

y

−

37

=

0

 

Explanation:

let's substitute each coordinate of all points in the general equation of the circle:

x

2

+

y

2

+

a

x

+

b

y

+

c

=

0

so that you have three equations with unknown variables a,b,c:

4

2

+

5

2

+

4

a

+

5

b

+

c

=

0

and

(

−

2

)

2

+

3

2

−

2

a

+

3

b

+

c

and

(

−

4

)

2

+

(

−

3

)

2

−

4

a

−

3

b

+

c

=

0

let's solve in a few steps:

4

a

+

5

b

+

c

+

41

=

0

and

−

2

a

+

3

b

+

c

+

13

=

0

and

−

4

a

−

3

b

+

c

+

25

=

0

c

=

−

4

a

−

5

b

−

41

and

(by substituting c)  

−

2

a

+

3

b

−

4

a

−

5

b

−

41

+

13

=

0

and

−

4

a

−

3

b

−

4

a

−

5

b

−

41

+

25

=

0

−

6

a

−

2

b

−

28

=

0

and

−

8

a

−

8

b

−

16

=

0

that is equivalent to:

3

a

+

b

+

14

=

0

and

a

+

b

+

2

=

0

By subtracting you obtain:

2

a

+

12

=

0

a

=

−

6

so, by substituting the obtained value of a:

−

6

+

b

+

2

=

0

b

=

4

so

c

=

−

4

(

−

6

)

−

5

(

4

)

−

41

=

24

−

20

−

41

=

−

37

The equation of the circle is:

x

2

+

y

2

−

6

x

+

4

y

−

37

=

0

Step-by-step explanation:

You might be interested in
I need help with this one too
natali 33 [55]

Hey there! :)

Answer:

y = 11.

Step-by-step explanation:

Set both of the equations equal:

5x - 9 = x² - 3x + 7

Rearrange the equation:

0 = x² - 3x - 5x  + 9  + 7

Combine like terms:

0 = x² - 8x + 16

Factor:

0 = (x -4)²

Solve for x:

0 = x - 4

x = 4.

Plug this into an equation to solve for 'y':

y = 5(4) - 9

y = 20 - 9

y = 11.

3 0
3 years ago
Read 2 more answers
2) Addisyn has a 12-sided die. If she rolls
ahrayia [7]
The answer to your question is about 9 times so ya that your answer about 27 times
5 0
3 years ago
Lynda has 27 fewer fish than Jack. Jack has 80.
Zielflug [23.3K]
Lynda had 53 fewer fish then jack did
8 0
3 years ago
Read 2 more answers
Find all numbers whose absolute value is 8.
Zepler [3.9K]

Answer:

<h2>8 or -8</h2>

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|a| = 8 ⇔ a = 8 or a = -8

7 0
3 years ago
Write the equation is logarithmic form 33 = 27
irinina [24]
6 is the answerI equations
3 0
3 years ago
Other questions:
  • Help...
    12·1 answer
  • For questions 1-2 identify the zeros of the function
    5·1 answer
  • Which explanation can be used to informally derive the formula for the volume of a cone? A. A cone consists of a circle as a bas
    12·2 answers
  • A. 60°
    13·2 answers
  • Suppose that you are headed toward a plateau 20 m high. If angle of elevation to the top is 10°, how far are you from the base o
    6·1 answer
  • Express 148.502 in standard form<br>Pls as soon as possible<br><br>​
    14·2 answers
  • 5 calculators cost $140.00
    6·2 answers
  • Kym switched cell phone plans, She signed up for a new plan that will save her $3.50 pr month compared to her old cell phone pla
    15·1 answer
  • Find the total cost with tip.
    9·2 answers
  • Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!