Answer:
0.185 Step-by-step explanation:
(2.4 x 10^-1) - (5.5 x 10^-2)
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0.24-0.055= 0.185
Let k and d be the Kevin's age and the Daniel's age;
We have the equation:
k = 3 + d;
k - 2 = 4( d - 2 );
We have 3 + d - 2 = 4d - 8;
Then, d + 1 = 4d - 8;
9 = 3d;
d = 3.
Finally, k = 6 years.
So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.
2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.
Graph
x | y
-π/8 -2
0 0
π/8 2
3π/8 -2
5π/8 2
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2 then using the x-distance between like points is the period so you add π/2
(π/8 , 2)
+ π/2
(5π/8 , 2)
Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
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Answer:
Length of segment 
units = 8.94 units
Step-by-step explanation:
Given:
End point of line: (2,1)
Midpoint of line: (-2,-1)
To find length of line segment.
Solution:
Distance from endpoint to midpoint is half the length of segment as the midpoint divides the line into equal halves.
Distance from end point to mid point can be found out using distance formula:
Plugging in points for end point (2,1) and midpoint(-2,-1).
Length of half segment 
units
∴ Length of segment = 
units
