Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).
Step-by-step explanation:
When a point (x,y) is dilated by a scale factor k from the origin, then the new points become
The given rule of dilation : (x,y) →(0.8x, 0.8y)
The first point is (-10,-20), so its image will be
So, the point (-10,-20) becomes (-8,-16).
The second point is (15,25), so its image will be
So, the point (15,25) becomes (12,20).
Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).
Answer:
B. 2106 pi mm³
Step-by-step explanation:
the solution is attached,
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