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grigory [225]
4 years ago
12

Amy pays $25 to enter a state fair, plus $3 for each ride. Which of the following equations represents her total cost?

Mathematics
2 answers:
ella [17]4 years ago
7 0
Y = 3x + 25 <== ur equation
Butoxors [25]4 years ago
5 0
The equation would be y=3x+25
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The given plane, x-y+z=3, has normal vector \vec n = \langle1,-1,1\rangle. Any plane parallel to this one has the same normal vector.

Let (x,y,z) be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

\langle x,y,z\rangle - \langle 1,1,-1\rangle = \langle x-1, y-1, z+1 \rangle

and this is perpendicular to \vec n.

So the equation of the plane is

\langle x-1, y-1, z+1 \rangle \cdot \vec n = 0 \implies (x-1) - (y-1) + (z+1) = 0 \implies \boxed{x - y + z = -1}

or equivalently,

\boxed{-x + y - z = 1}

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