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Dominik [7]
2 years ago
6

Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)

Mathematics
1 answer:
konstantin123 [22]2 years ago
4 0

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

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What’s the correct answer for this question?
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Answer:

12.22

Step-by-step explanation:

To find HI, you have to use tangent. tanx=\frac{opposite}{adjacent}

tan(42°)=\frac{11}{HI} , then you multiply HI to both sides of equation and divide tan(42).

To get <em>HI</em>=\frac{11}{tan(42)}

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5 0
2 years ago
A bowl contains 11 white stones and 3 black stones. One stone is chosen and not replaced, then another stone is chosen. What is
Nataly [62]

Answer:

11/ 14 chance that you will pick a white stone

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Step-by-step explanation:

Hope that helps

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3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

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You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building. 
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4 0
3 years ago
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