What is the equation of the sinusoid shown in the graph?
2 answers:
Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
Thus:
Therefore, the equation of the sinusoid is:
Answer: C
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1) Find the graph of a line passing through (-1, 4) and (2, 0).
The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:
The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:
To find b, substitute x and y for one of the given coordinate pairs:
0 = (-4/3)(2) + b
0 = -8/3 + b
8/3 = b
Substitute the b value into the equation to finish the line:
Answer:
96 inch²
Step-by-step explanation:
there are 2 shapes,
1. a square
2. a triangle
lets find the area of the square first,
<u>AREA = SIDE × SIDE</u>
= 8 × 8
= 64 inch²
now, area of triangle ,
so, total area is :
area of square + area of triangle
= 64 + 32
= 96 inch²