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Rzqust [24]
3 years ago
5

Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).

Mathematics
1 answer:
oee [108]3 years ago
3 0
X2 + y2 = 29

Center of the circle 
x=0 and y=0

Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
 
 so the slope of the tangent 
 -2/5             

General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c

m = -2/5

5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5

Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5 
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Answer:

<u>x = 36</u>

Here's how I got that:

<em>    - Group like terms -</em>

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                    ↓

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                    ↓

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<em>  - Divide both sides by 5 - </em>

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<em>                </em><u><em>x </em></u><u>= 36</u>

<em>~ That's all folks ~</em>

<em>-Siascon</em>

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