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Law Incorporation [45]
3 years ago
11

Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

  x + y + z = 14

Step-by-step explanation:

If the points are designated A, B, C, then ...

  AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).

That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...

  (1, 1, 1)·(x, y, z) = (1, 1, 1)·A

  x + y + z = 14

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2 years ago
A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e
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The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

(x-a)^{2} + (y -b)^{2} = r^{2}

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

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(x-a)^{2} + (y -b)^{2} = r^{2}

(x-4)^{2} + (y -9)^{2} = 3^{2}

On  observing this equation we will get that the value of (a,b) is (4,12).

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Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

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