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mr Goodwill [35]
3 years ago
5

On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and

fish. The vegetables are spinach, broccoli, and carrots. Which of the following is a possible dinner combination?
A. broccoli, carrots

B. spinach, broccoli

C. chicken, spinach

D. beef, fish
Mathematics
1 answer:
Vlad [161]3 years ago
5 0
C. chicken, spinach

(1 entree and 1 vegetable)
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We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨<em>x</em>, <em>y</em>, <em>z</em>⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨<em>x</em> - 9, <em>y</em> - 6, <em>z</em>⟩ • ⟨7, -7, -6⟩ = 0

7 (<em>x</em> - 9) - 7 (<em>y</em> - 6) - 6<em>z</em> = 0

7<em>x</em> - 63 - 7<em>y</em> + 42 - 6<em>z</em> = 0

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<em>a</em> = 7, <em>b</em> = -7, <em>c</em> = -6, and <em>d</em> = 21

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