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
kondaur [170]
3 years ago
6

Find the equation of the circle​

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Step-by-step explanation:

Let's say the coordinates of Q are (h, k).

The slope of PQ is perpendicular to the tangent line.

(k − 2) / (h − 2) = -⅓

3(k − 2) = -(h − 2)

3(k − 2) = 2 − h

Solving for h:

h = 2 − 3(k − 2)

h = 2 − 3k + 6

h = 8 − 3k

(2, 2) is a point on the circle, so:

(2 − h)² + (2 − k)² = r²

Substituting:

9 (k − 2)² + (2 − k)² = r²

10 (k − 2)² = r²

The equation of the circle is:

(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²

Without more information, there are an infinite number of possible solutions.  For example, if k = 1, the equation of the circle is:

(x − 5)² + (y − 1)² = 10

You might be interested in
How do I solve 10p+5=18p-6/2
mihalych1998 [28]
<span>10p+5=18p-6/2 
10p + 5 = 18p -3 
10p - 18 p = -3 -5
-8p = -8
p = -8/-8
p =1</span>
3 0
3 years ago
How do you find answer for 8k=4/9
nasty-shy [4]
Isolate k by dividing both sides by 8

8k=4/9
k=4/72

Reduce if possible

4/72 -> 1/18
8 0
3 years ago
Read 2 more answers
Which pair of angles are supplmentary?
olga55 [171]

Answer:

1+2, 1+4, 2+1, 2+3, 3+2, 3+4, 4+1, 4+3, 5+6, 5+8, 6+5, 6+7, 7+8, 7+6, 8+5, 8+7

Step-by-step explanation:

To be supplementary is to be equal to 180 degrees.

3 0
3 years ago
Read 2 more answers
Scientists are measuring the thickness of ice on a large lake. When they first measure the ice, it is 3.1 inches thick. Three we
yaroslaw [1]

Answer:

Step-by-step explanation:

What is the question?

Amount of change = 5.5-3.1 = 2.4 inches

Percentage change = 2.4/3.1 ≈ 77.4% increase

3 0
3 years ago
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!11111
vaieri [72.5K]

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:

16 x 0.5 = 8

16 x -0.75 = -12

16 x 2 = 32

4 0
2 years ago
Read 2 more answers
Other questions:
  • If Sara saved 10% on a $60.00 blouse how much did she save
    12·1 answer
  • Please please i dont get it can you plz help me q.24
    13·1 answer
  • The football team has a total of 50 jerseys. There are 30 medium-sized jerseys. What percent of the jerseys are medium-sized jer
    10·1 answer
  • What is the answer to this question. Please give me the answer ASAP
    12·1 answer
  • What's the coefficient in each
    5·1 answer
  • An icecream factory makes 140 quarts in 10 hours . How much can be made in 12 ? ​
    15·1 answer
  • Which best describes the incenter of a triangle?
    10·1 answer
  • What are the zeros of the polynomial function?
    12·1 answer
  • A 52-in TV measures 52 inches along its diagonal (corner to corner measure). If that TV is 33.6 inches high, how wide is it?
    8·2 answers
  • Write the equation of the given line in slope-intercept form:<br> (-1,2) and (1,-4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!