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2 years ago

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Mathematics

1 answer:

Artist 52 [7]2 years ago

6 0

The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).

The distance between the two edges is 120 centimeters.

The equation for the parabolic mirror is x + 32 = (2/225) · y².

<h3>How to analyze a parabolical mini-solar cooker </h3>

Herein we must understand the geometry of the design of the mini-solar cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:

$y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}$

y = ± 60

The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.

Lastly, the equation of the parabolic mirror can be determined based on the equation of the parabola in vertex form:

x - h = C · (y - k)² (1)

Where:

h, k - Coordinates of the vertex

C - Vertex constant

If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:

0 + 32 = C · 60²

C = 2/225

Then, the equation for the parabolic mirror is x + 32 = (2/225) · y².

To learn more on parabolae: brainly.com/question/21685473

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