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
Michael is 5 years old than rui feng and. Vishal is thrice as old as micheal if rui feng is 3 years old find Michael present age
lorasvet [3.4K]

Answer:

a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Step-by-step explanation:

From the above question, we know that

Rui feng is 3 years old

We are told that

• Michael is 5 years old than Rui feng

Micheal's present age is calculated as:

= 5 + Rui feng's age

= 5 + 3 = 8 years

• Vishal is thrice as old as Micheal

Vishal's present age is calculated as

= 3(Micheal age)

= 3(8)

= 24 years.

The sum of their ages in six years time

= ( 3 + 6) +( 8 + 6) + ( 24 + 6)

= 18 + 15 + 30

= 63 years

Therefore, a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

3 0
3 years ago
Multiply and simplify the following complex numbers:<br> (5 – 5i) . (-3+5i)
Rama09 [41]

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

7 0
3 years ago
Read 2 more answers
I have problems in solving this questions<br> f(x)=x2+6x+3<br> t (x)= x-3/x+4<br> then find (f.t)(x)
zlopas [31]
I need a bad bleep umm Addison Rae??
3 0
3 years ago
Mr. Black is flying a kite above a field on a 65 foot string. The angle of elevation of the kite is 70 degrees. How high is the
Elan Coil [88]

Answer:

The correct answer is 61.08 foot.

Step-by-step explanation:

Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.

Angle of elevation is 70°.

We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.

Let the height be x foot.

Thus sin 70° = \frac{x}{65}

⇒ x = sin 70° × 65

⇒ x = 61.08

Thus the height of the kite above Mr. Black head is 61.08 foot.

6 0
3 years ago
Find the slope of the two points (-7, 8) and (4, -3).
Nastasia [14]

Answer:

y = (15/24)x + 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • One angle of a triangle measures 140°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?
    7·1 answer
  • I WILL AWARD BRAINLIEST!! PLEASE HELP!!
    9·1 answer
  • Find the x-intercept and the y-intercept of the graph of the equation 1/3x + 9y = 15. Then graph the equation.
    12·2 answers
  • There are three numbers for the combination to the store’s safe. The first number is 14.The other two numbers can be multiplied
    12·1 answer
  • Draw a number line to show that 2/8 and 1/4 are equivalent fraction
    10·1 answer
  • Jika x1 dan x2 merupakan akar akar persamaan x2+5x-2=0, maka (x1+2x2)(x2+2x1)=
    8·1 answer
  • Understanding Dilations and Similarity continued
    15·1 answer
  • Help please on quiz !!
    12·1 answer
  • What is the product as a sum for (x + 7)(2x – 5)
    5·1 answer
  • What is the area of a circle that is 11 millimeters?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!