Find the slope of the line that passes through the following points. (-2, 8) and (3, -2)
1 answer:
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Answer:
Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately
Step-by-step explanation:
For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.
a=[1,2,-2], b=[4,0,-3,]
The dot product on this case is:
Since the dot product is not equal to zero then the two vectors are not orthogonal.
Now we can calculate the magnitude of each vector like this:
And finally we can calculate the angle between the vectors like this:
And the angle is given by:
If we replace we got:
Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately
Answer:
see below
Step-by-step explanation:
For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...
g(x) = b·f(x -h) +k
For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...
g(x) = (1/2)f(x +3) -2
g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice
