Convert 11/3 into a mixed number. 3 2/3 4 1/3 3 1/6
1 answer:
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Answer:
x = 10 , y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = , sin60° =
, then
cos60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = =
=
( cross- multiply )
2y = 20 ×
= 20
( divide both sides by 2 )
y = 10
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).