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.
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The only reasonable answer I could think for this is "A.<span>The company's expense budget for 2009 was $189,785."
I believe this because since x is the years after 2009 then you wouldn't times that by the expense budget for that year or any year eliminating B and C. When finding the total expense budget for this you would have to take in account the budget from 2009 so that would lead it to add 189,758. Since we are talking about after 2009 then D would be eliminated since 2008 is before 2009.
I hope this helps! Good luck!</span><span>
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Just think 200% = 2x, so 2x of 18 = 36. Now for the 20%. Thats one fifth, so just do 18/5 and you have your answer when you add those together
Answer:
1.9
Step-by-step explanation:
Gabrielle uses 7.6 pints of blue and white paint to paint her bedroom
1/4 of the paint is blue paint
Therefore the amount of white paint she used to paint her bedroom can he calculated as follows
= 1/4
= 0.25×100
= 25%
25/100×7.6
= 2.5 × 7.6
= 1.9
Hence 1.9 pints of white paint was used to paint the room
<span>The theorems in this lesson relate to all of the following (tangents, arcs, and chords) except for <u>radii.</u></span>
