The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
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Answer:
20%
Step-by-step explanation:
21/ 105
= 0.2 x 100
20%
Answer:
The answer 323.4 is pound.
Step-by-step explanation:
First 25% and 8% together which is 33%.Then find out 33% of 980.33/100×980=323.4 pound.
So he saved 323.4 pound.
A) 8 - add up the how many numbers there are after the 4 on the left column
b) 41 - line up all of the numbers from least to greatest and find the middle number
c) 39 - do step b again but this time remove the oldest worker and add the younger one in
