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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➷ Divide total cost by the number of files:
82.50/30 = 2.75
Multiply by 10:
2.75 x 10 = 25.5
The cost was $27.50
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Answer:
<h3>28</h3>
Step-by-step explanation:
Area of a square =
Perimeter =
Where s = side
Solve for s using the area
Find the perimeter
Slope is mx is that makes sense
This means 5 meters/20 steps = x/1,000 steps. 20 times 50 is 1,000, so 5 times 50 is 250 meters. 5/20 can be also reduced to 1/4 = x/1000. Use cross products rule to get 4x = 1,000. Divided both sides by 4 to get x = 250 meters.
