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Ulleksa [173]
3 years ago
5

Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

------------

2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

---------------

3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

------------

4-Where does the line through

<span>(1, 0, 1) and (4,-2,3)intersect the plane</span><span>x + y + z = 8 ?</span>
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3 0
2 years ago
What numeral in base 8 equivalent to 3325(denoting 332 base 5)
lakkis [162]
It can help to write each number in expanded form, where the digit is multiplied by a power of the base.

332 base 5 = 3*5^2 + 3*5^1 +2*5^0 = 75 +15 +2 = 92

In base 8, this is
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_____
The conversion of an integer to base b is often done by finding the remainder when dividing by b.
92/8 = 11 remainder 4
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5 0
3 years ago
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