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
How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph
Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

f(x)=x^3

The translation of a function is defined as

g(x)=f(x+a)+b

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

g(x)=f(x+4)+(-2)

g(x)=(x+4)^3-2              [\because f(x)=x^3]

y=(x+4)^3-2

Therefore option B is correct.

8 0
3 years ago
Read 2 more answers
Perform the indicated operations; reduce the answer to lowest terms.
kow [346]

a. 9/10

explanation:

• the denominators (bottom number) are the same so there is no need to change to a common factor

• because the fractions have common factors, you add the top numbers (3+6) to get 9

• then you put the top number over the 10 (9/10) and it’s simplified as much as possible

b. 3/4

explanation:

• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12

• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)

• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)

• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)

• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12

- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4

c. 1/3

explanation:

•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6

• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3

3 0
2 years ago
Help quick please
GaryK [48]

Answer:

Growth

Step-by-step explanation:

since the (1.05) is bigger than 1 it is growth but if it was lower then  1 it would be decay .

3 0
2 years ago
3x + 3 = x - 5<br> Solve for x
Mars2501 [29]

Answer:

x = -4

Step-by-step explanation:

plz vote brainliest :)

4 0
3 years ago
Read 2 more answers
Help please it's math 15 pts!
blsea [12.9K]

Answer:

i believe its d

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A (n) ?graph consists of distinct, isolated points
    15·1 answer
  • What adds to negative 23 and multiples to negative 50
    7·1 answer
  • In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home
    5·1 answer
  • Question: What is the volume of the box? Explain how you found your solution.
    14·1 answer
  • The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
    7·1 answer
  • Plz answer this question...
    15·1 answer
  • The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.972 g and a standard deviation
    5·1 answer
  • What is 10 1/7 / 8 7/8 equal
    14·1 answer
  • HELP PLEASE!! (Look at the picture)
    11·1 answer
  • Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!