The first picture is correct, the triangle was dilated by a factor of 1/3 and then shifted 2 units down.
The second picture is also correct, because the dots are higher as they move to the right, it is a positive association and they follow a linear line.
Answer:
x=13
Step-by-step explanation:
6(x+1)-2x-1=(x+15)+(x+16)
6x+6-2x-1= x+ 15+x+16
4x+5= 2x+31
2x+5=31
2x=26
x=13
Answer:
,
, and π
Step-by-step explanation:
The irrational numbers are:
,
, and π
Answer:
D
Step-by-step explanation:
Solution:-
The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:
f ( x ) = sin ( w*x ± k ) ± b
Where,
w: The frequency of the cycle
k: The phase difference
b: The vertical shift of center line from origin
We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).
We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.
The resulting sinusoidal waveform can be expressed as:
f ( x ) = sin ( 2x ) ... Answer