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: 28*63
Step-by-step explanation:
- If first you want the answer, you must divide and then you would get 63.
- Then you take 63 and multiply 28 and you'll get 1,764
Hope I was able to help.
(For question 27)
I’m tired I’ve so much homework to complete and a long day of school :(
Answer:
x=1, x=8
Step-by-step explanation:
4x2−36x+32=0
Step 1: Factor left side of equation.
4(x−1)(x−8)=0
Step 2: Set factors equal to 0.
x−1=0 or x−8=0
(+1) (+8)
x=1 or x=8
Answer:
0.097
Step-by-step explanation:
