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vitfil [10]
3 years ago
14

What is the distance between point (3,2) and line y=1/4x-9

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

<em>9.94</em>

Step-by-step explanation:

y = \frac{1}{4} x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = \frac{1}{4} x - 9

16x - 56 = - x + 36

17x = 92

x = \frac{92}{17}

y = (-4) \frac{92}{17} + 14 = - \frac{368}{17} + \frac{238}{17} = - \frac{130}{17}

(3, 2) , ( \frac{92}{17} , - \frac{130}{17} )

d ≈ 9.94396

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