08.10.2021

Find an equation of the plane. The plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) Incorrect: Your answer is incorrect.

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24.06.2023, solved by verified expert
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The equation of the plane is represented by Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16.

Step-by-step explanation:

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

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16(1)

Where:

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16 - Plane coeffcients.

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16 - Coordinates.

We need three distinct points to determine all coefficients. If we know that Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16 and Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, the system of equations to be solved is:

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16(1)

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16(2)

Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16(3)

The solution of this system is Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16, Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16.

Hence, the equation of the plane is represented by Find an equation of the plane. The plane through, №17886282, 08.10.2021 00:16.

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Mathematics
Step-by-step answer
P Answered by PhD

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.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image

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