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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

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3 years ago
How many different arrangements can be made with the letter of the word 'M O R O C C O'?
valentinak56 [21]
Since the order matters, it's a permutation of 7 letters, but mind you in 
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8 0
3 years ago
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x
MissTica

Answer:

<h2>$4.7</h2>

Step-by-step explanation:

step one:

Let the cost be y

to solve for the cost of  a movie ticket, we need to solve the expression

y=2.75+0.10x

step two:

given that x is the number of years between 1980-2000

the number of years is 20years

put x= 20 in the expression for the cost we have

y=2.75+0.10(20)

y=2.7+2

y=$4.7

5 0
3 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
lora16 [44]

Answer:

The equations are:

4H + 3P = 13.75

2H + 5P = 11.25

Hotdog = 2.50

Pretzel = 1.25

Step-by-step explanation:

Let:

H = hot\ dog

P =Pretzel

For Tina:

4H + 3P = 13.75

For Doug:

2H + 5P = 11.25

Solving for the price of both items:

We have:

4H + 3P = 13.75 --- (1)

2H + 5P = 11.25 --- (2)

Multiply (2) by 2

2 * (2H + 5P = 11.25)

-------------------

4H + 10P = 22.50 --- (3)

Subtract (3) from (1)

4H + 3P = 13.75

4H + 10P = 22.50

----------------------

4H - 4H + 3P - 10P = 13.75 - 22.50

3P - 10P = 13.75 - 22.50

-7P = -8.75

Solve for P

P = \frac{-8.75}{-7}

P = 1.25

Substitute 1.25 for P in (2)

2H + 5P = 11.25

2H + 5 * 1.25 = 11.25

2H + 6.25 = 11.25

Collect Like Terms

2H = 11.25-6.25

2H = 5

Solve for H

H = \frac{5}{2}

H = 2.50

3 0
3 years ago
Can anyone solve this? Please i need help on these. 50 points for the person who answers!
suter [353]

Answer:

a. k = 8

b. k = 95

c. k = 13.95

d. k = 40

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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