Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
Use the distance formula.
Points S and W.
~3.6
Points S and T
~3.6
Points T and U
~3.1
Points U and V
~4
Points V and W
~3.3
Add all these together.
3.3 + 3.1 + 4 + 3.1 + 3.6
≈17
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
Answer:
X+ 0.5X or 1.5X
Step-by-step explanation:
the sum means that it want an addition problem. and so it is saying X + 1/2 (0.5)X which gives you 1.5X or you can leave it has X+0.5X
