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
Ierofanga [76]
3 years ago
8

Determine the center and radius of the following circle equation: x^2+y^2-6x-8y+24=0

Mathematics
1 answer:
slega [8]3 years ago
6 0

Center is (3, -4) and radius is 1

Step-by-step explanation:

  • Step 1: Find center and radius of the circle with equation x² + y² - 6x - 8y + 24 = 0

The standard form of the equation of a circle is x² + y² + 2gx +2fy + c = 0, where center is (-g, -f) and radius = √g² + f² - c

By comparing the 2 equations, 2g = -6, 2f = 8 and c = 24

⇒ g = -6/2 = -3

⇒ f = 8/2 = 4

⇒ c = 24

  • Step 2: Find center.

Center = (-g. -f) = (3, -4)

  • Step 3: Find radius.

Radius = √g² + f² - c = √3² + (-4)² - 24

           = √9 + 16 - 24 = √1 = 1

You might be interested in
Lmno is a parallelogram if nm = X + 11 and OL = 2x+4 find the value of x and then find NM and OL
devlian [24]
If you draw out lmno as a parallelogram, then lo is always going to be opposite of nm which means they are equal to each other.  nm = ol or x+11=2x+4 or 7 = x,  then nm = ol = 18...
7 0
2 years ago
Find the 17th term in the sequence for which a1 = 10 and d = -3.
yKpoI14uk [10]

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

In this question:

a_{1} = 10, d = -3

17th term:

a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38

So the correct answer is:

d. -38

6 0
3 years ago
Select the correct answer,
o-na [289]

Answer:

C. 60

Step-by-step explanation:

60+10=70

8 0
3 years ago
Read 2 more answers
What is 2 1/4 + 1 1/8?
Contact [7]
Hope this answered it

4 0
3 years ago
Read 2 more answers
Please help me with this homework
fiasKO [112]

Answer:

It will be $2.40

4 0
2 years ago
Other questions:
  • Tyler took 33 photos while on a class field trip this is three times as many photos as Kayla took which equation can be used to
    6·2 answers
  • Please help with these two questions thank you.
    14·1 answer
  • What is the area of each piece of paper that Jodi is cutting out
    12·1 answer
  • Find the 9th and pth terms of the A.p. 2, 5 , 8..<br>​
    5·1 answer
  • Rearrange b + 4 = a to b=
    12·2 answers
  • EUR
    13·1 answer
  • A rectangle measures 1 1/ 2 inches by 3/ 4 inches. What is its area?
    13·1 answer
  • If x=6 and y=−2, evaluate the following expression:2xy​
    6·2 answers
  • I NEED HELP NOW PLEASE
    13·1 answer
  • 6. Work The dollar amount d that Julia earns varies directly as the number of hours !
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!