Answer:
Proved See below
Step-by-step explanation:
Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started
For this question we need to know the following identities:
Lets solve the bottom most part first:
Take LCM
now break the LCM
because 1/tan = cot x
and furthermore,
now we solve the above part and replace the bottom most part that we solved with
Hence proved! :D
Answer:
The sum of vectors is <5,2>.
Step-by-step explanation:
The given vectors are <-1,4> and <6,-2>.
We need to find the sum of the given vectors and illustrate geometrically.
Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).
Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).
Now complete the parallelogram and the diagonal represents the sum of both vectors.
The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.
Check the sum of vectors:
Therefore, the sum of vectors is <5,2>.
The statements about the function that are true are
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
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