3 years ago

What's the area of the triangle below?

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

What is the triangle need a diagram

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20. Sketch the level curve of the function f(x, y) that contains the point (5,0).

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$f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14$

Then the level curve is

$\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2$

which is a circle centered at the origin with radius 5 - quite easy to sketch.

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