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
spin [16.1K]
2 years ago
14

Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

the circle and goes through the point W?
Mathematics
1 answer:
Solnce55 [7]2 years ago
5 0

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

x^2 + (y - 2)^2 = r^2

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

You might be interested in
a construction company needs to remove 24 tons of dirt from a construction site. They can remove 3/8 tons of dirt each hour. How
Sunny_sXe [5.5K]
Since each hour is 3/8 of a tone then, namely how many times does 3/8 go into 24?  well, is just their quotient.

\bf 24\div\cfrac{3}{8}\implies \cfrac{24}{1}\div\cfrac{3}{8}\implies \cfrac{24}{1}\cdot\cfrac{8}{3}\implies \cfrac{8}{1}\cdot \cfrac{8}{1}\implies 64
4 0
3 years ago
Help please with this question.
Tanzania [10]
2x+3(x+1.5)=12 because y=y so you SUBSTITUTE y in for y
6 0
3 years ago
Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three tim
iragen [17]

Answer:

Sam

Step-by-step explanation:

Sam: Longest ski trail >3x    x = shortest ski trail

Eli: Longest ski train< 3x

Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.

6 0
3 years ago
How long would it take me to earn$139.50 of interest at a 6% interest rate if I started with$930.00
Triss [41]
6% of 930 is 55.8

139.50 / 55.8 = 2.5

I will take two and a half years
8 0
3 years ago
If Amir is running at a faster pace; 6.7 mph, to the nearest hundredth of an hour , after how much time will Amir catch up to sa
pickupchik [31]

Answer:

7

Step-by-step explanation:

6.7 rounds up to 7

6 0
3 years ago
Other questions:
  • Mrs. Jacobson asked her students to write a word problem that describes the graph below.
    14·2 answers
  • I don’t know and need help I am very bad at their type of math please some one
    11·1 answer
  • Cindy went to Maggie Moo’s for an ice cream cone after school. The ice cream cone had a radius of 3 inch, a height of 2 inches,
    9·1 answer
  • Type the integer that makes the following addition sentence true:<br><br><br> + 83 = 19
    13·1 answer
  • What is the slope of the line that contains the points (2,6) and (-1,-6)?
    12·2 answers
  • I need help please i need a answer
    12·1 answer
  • Inside a personal computer, 5 memory chips fit inside a 1-inch section. How much space do 3 memory chips take up?
    5·2 answers
  • Martin and Helen both are computer technicians and they repair all kind of computers. Martin makes $50 a day plus $25 per repair
    13·2 answers
  • 60 = 5(1.07)^x
    10·1 answer
  • Pls help me solve this pls
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!