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Mathematics
04.03.2023 05:08
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Please help I really do not understand this yeah I can be weird sometimes but please

Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest
Please help I really do not understand this yeah I can be weird sometimes but please help will mark
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madeleine1102
madeleine1102
5,0(31 marks)

Step-by-step explanation:

1.0.39

2.0.33

3.Loose

4.0.14

I did the first four... hope that helps

arlethgonzales10
arlethgonzales10
4,4(39 marks)

The equation of the plane is represented by \frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1.

Step-by-step explanation:

Algebraically speaking, a plane can be represented by following vectorial product:

(a,b, c)\,\bullet\,(x,y,z) = 1(1)

Where:

a, b, c - Plane coeffcients.

x, y, z - Coordinates.

We need three distinct points to determine all coefficients. If we know that (x_{1},y_{1},z_{1}) = (0,9,9), (x_{2},y_{2}, z_{2}) = (9,0,9) and (x_{3},y_{3},z_{3}) = (9,9,0), the system of equations to be solved is:

9\cdot b + 9\cdot c = 1(1)

9\cdot a + 9\cdot c = 1(2)

9\cdot a + 9\cdot b = 1(3)

The solution of this system is a = \frac{1}{18}, b = \frac{1}{18}, c = \frac{1}{18}.

Hence, the equation of the plane is represented by \frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1.

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