Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = 
Horizontal shift = 
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = 
horizontal shift = 
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Answer:
there are 30
Step-by-step explanation:
10 in each bag
Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
