5. A company makes cone shaped cups for its bottled water dispensers.
1 answer:
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Answer:
Step-by-step explanation:
Given that L is a line parametrized by
The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z
i.e. (2,3,-1)
So equation of the plane would be of the form
Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.
So equation is
b) Substitute general point of L in the plane to find the intersecting point
i.e. same point given.
Answer:
m = 4/3
Step-by-step explanation:
To find the slope of a line use the formula, where "m" means slope:
*You don't need to show this part on paper*
Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).
Point 1: (-2, 1) x₁ = -2 y₁ = 1
Point 2: (4, 9) x₂ = 4 y₂ = 9
Substitute the coordinates into the formula:
*Show this part on paper*
Simplify
Reduce by dividing by 2
Slope
The slope of the line is 4/3