The magnitude of the vector C that satisfies the expression is 6.48m
Given the following magnitude;
Vector A = 5.1m
Vector B = 4.0m (upward)
Taking the resultant vector of A and B we will have:
Given the expression A⃗ +B⃗ +C⃗ =0⃗
R + C = 0
C = 0 - R
C = 0 - 6.48
C = -6.48m
Hence the magnitude of the vector C that satisfies the expression is 6.48m
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Volume of trench = Amount of earth removed
Volume of trench = length x width x height = 150 x 12/12 x 9/12 = 150 x 1 x 3/4 = 112.5 cubic feet
Therefore, he removed 112.5 cubic feet of earth.
Answer:
Vertex = (7,5)
Length of latus rectum = 2 units
Step-by-step explanation:
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and length of latus rectum is 
.
The given equation is
...(2)
On comparing (1) and (2), we get
So, vertex of parabola is (7,5).
Length of latus rectum is
Therefore, the length of the latus rectum is 2 units.
-11=-5x+19y
5x-11=19y
(5x-11)/19=y
