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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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Answer:

The answer is,

r =  \frac{3t}{t - 1}

Step-by-step explanation:

t =  \frac{r}{ r - 3}

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:

t × (r-3) = r/(r-3) × (r-3)

rt - 3t = r

Then you have to move all the "r" variables to one side and other variables to the other side:

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3 years ago
A rectangle is 10 inches smaller than it is wide. The perimeter of the rectangle is 80 inches. Find the length and the width of
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Answer:

l = 15 and w = 25

Step-by-step explanation:

l  - w =  - 10

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Adding both equations

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subtracting both equation

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Hope it helps..........

BRAINLIEST PLEASE

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Read 2 more answers
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